Готові списки джерел за темами / Closed Interacting Quantum Systems

Добірка наукової літератури з теми "Closed Interacting Quantum Systems"

Автор: Grafiati
Опубліковано: 7 вересня 2023

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Статті в журналах з теми "Closed Interacting Quantum Systems"

1

Polkovnikov, Anatoli, Krishnendu Sengupta, Alessandro Silva, and Mukund Vengalattore. "Colloquium: Nonequilibrium dynamics of closed interacting quantum systems." Reviews of Modern Physics 83, no. 3 (August 15, 2011): 863–83. http://dx.doi.org/10.1103/revmodphys.83.863.

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2

Riera-Campeny, Andreu, Maria Moreno-Cardoner, and Anna Sanpera. "Time crystallinity in open quantum systems." Quantum 4 (May 25, 2020): 270. http://dx.doi.org/10.22331/q-2020-05-25-270.

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Time crystals are genuinely non-equilibrium quantum phases of matter that break time-translational symmetry. While in non-equilibrium closed systems time crystals have been experimentally realized, it remains an open question whether or not such a phase survives when systems are coupled to an environment. Although dissipation caused by the coupling to a bath may stabilize time crystals in some regimes, the introduction of incoherent noise may also destroy the time crystalline order. Therefore, the mechanisms that stabilize a time crystal in open and closed systems are not necessarily the same. Here, we propose a way to identify an open system time crystal based on a single object: the Floquet propagator. Armed with such a description we show time-crystalline behavior in an explicitly short-range interacting open system and demonstrate the crucial role of the nature of the decay processes.
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3

Weidenmüller, Hans A. "Quantum Chaos, Random Matrices, and Irreversibility in Interacting Many-Body Quantum Systems." Entropy 24, no. 7 (July 11, 2022): 959. http://dx.doi.org/10.3390/e24070959.

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The Pauli master equation describes the statistical equilibration of a closed quantum system. Simplifying and generalizing an approach developed in two previous papers, we present a derivation of that equation using concepts developed in quantum chaos and random-matrix theory. We assume that the system consists of subsystems with strong internal mixing. We can then model the system as an ensemble of random matrices. Equilibration results from averaging over the ensemble. The direction of the arrow of time is determined by an (ever-so-small) coupling to the outside world. The master equation holds for sufficiently large times if the average level densities in all subsystems are sufficiently smooth. These conditions are quantified in the text, and leading-order correction terms are given.
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4

GIAMPAOLO, S. M., F. ILLUMINATI, A. DI LISI, and G. MAZZARELLA. "MASSIVE QUANTUM MEMORIES BY PERIODICALLY INVERTED DYNAMIC EVOLUTIONS." International Journal of Quantum Information 04, no. 03 (June 2006): 507–17. http://dx.doi.org/10.1142/s0219749906001955.

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We introduce a general scheme to realize perfect quantum state reconstruction and storage in systems of interacting qubits. This novel approach is based on the idea of controlling the residual interactions by suitable external controls that, acting on the inter-qubit couplings, yield time-periodic inversions in the dynamical evolution, thus cancelling exactly the effects of quantum state diffusion. We illustrate the method for spin systems on closed rings with XY residual interactions, showing that it enables the massive storage of arbitrarily large numbers of local states, and we demonstrate its robustness against several realistic sources of noise and imperfections.
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5

Tavanfar, Alireza, Aliasghar Parvizi, and Marco Pezzutto. "Unitary Evolutions Sourced By Interacting Quantum Memories: Closed Quantum Systems Directing Themselves Using Their State Histories." Quantum 7 (May 15, 2023): 1007. http://dx.doi.org/10.22331/q-2023-05-15-1007.

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We propose, formulate and examine novel quantum systems and behavioral phases in which momentary choices of the system's memories interact in order to source the internal interactions and unitary time evolutions of the system. In a closed system of the kind, the unitary evolution operator is updated, moment by moment, by being remade out of the system's `experience', that is, its quantum state history. The `Quantum Memory Made' Hamiltonians (QMM-Hs) which generate these unitary evolutions are Hermitian nonlocal-in-time operators composed of arbitrarily-chosen past-until-present density operators of the closed system or its arbitrary subsystems. The time evolutions of the kind are described by novel nonlocal nonlinear von Neumann and Schrödinger equations. We establish that nontrivial Purely-QMM unitary evolutions are `Robustly Non-Markovian', meaning that the maximum temporal distances between the chosen quantum memories must exceed finite lower bounds which are set by the interaction couplings. After general formulation and considerations, we focus on the sufficiently-involved task of obtaining and classifying behavioral phases of one-qubit pure-state evolutions generated by first-to-third order polynomial QMM-Hs made out of one, two and three quantum memories. The behavioral attractors resulted from QMM-Hs are characterized and classified using QMM two-point-function observables as the natural probes, upon combining analytical methods with extensive numerical analyses. The QMM phase diagrams are shown to be outstandingly rich, having diverse classes of unprecedented unitary evolutions with physically remarkable behaviors. Moreover, we show that QMM interactions cause novel purely-internal dynamical phase transitions. Finally, we suggest independent fundamental and applied domains where the proposed `Experience Centric' Unitary Evolutions can be applied natuarlly and advantageously.
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6

Andrianov, Alexander A., Mikhail V. Ioffe, Ekaterina A. Izotova, and Oleg O. Novikov. "The Franke–Gorini–Kossakowski–Lindblad–Sudarshan (FGKLS) Equation for Two-Dimensional Systems." Symmetry 14, no. 4 (April 6, 2022): 754. http://dx.doi.org/10.3390/sym14040754.

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Open quantum systems are, in general, described by a density matrix that is evolving under transformations belonging to a dynamical semigroup. They can obey the Franke–Gorini–Kossakowski–Lindblad–Sudarshan (FGKLS) equation. We exhaustively study the case of a Hilbert space of dimension 2. First, we find final fixed states (called pointers) of an evolution of an open system, and we then obtain a general solution to the FGKLS equation and confirm that it converges to a pointer. After this, we check that the solution has physical meaning, i.e., it is Hermitian, positive and has trace equal to 1, and find a moment of time starting from which the FGKLS equation can be used—the range of applicability of the semigroup symmetry. Next, we study the behavior of a solution for a weak interaction with an environment and make a distinction between interacting and non-interacting cases. Finally, we prove that there cannot exist oscillating solutions to the FGKLS equation, which would resemble the behavior of a closed quantum system.
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7

Maffei, Maria, Patrice A. Camati, and Alexia Auffèves. "Closed-System Solution of the 1D Atom from Collision Model." Entropy 24, no. 2 (January 19, 2022): 151. http://dx.doi.org/10.3390/e24020151.

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Obtaining the total wavefunction evolution of interacting quantum systems provides access to important properties, such as entanglement, shedding light on fundamental aspects, e.g., quantum energetics and thermodynamics, and guiding towards possible application in the fields of quantum computation and communication. We consider a two-level atom (qubit) coupled to the continuum of travelling modes of a field confined in a one-dimensional chiral waveguide. Originally, we treated the light-matter ensemble as a closed, isolated system. We solve its dynamics using a collision model where individual temporal modes of the field locally interact with the qubit in a sequential fashion. This approach allows us to obtain the total wavefunction of the qubit-field system, at any time, when the field starts in a coherent or a single-photon state. Our method is general and can be applied to other initial field states.
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8

SHARIF, M., and ABDUL JAWAD. "THERMODYNAMICS IN CLOSED UNIVERSE WITH ENTROPY CORRECTIONS." International Journal of Modern Physics D 22, no. 03 (March 2013): 1350014. http://dx.doi.org/10.1142/s0218271813500144.

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We discuss the generalized second law of thermodynamics (GSLT) in three different systems by taking quantum corrections (logarithmic and power law) to cosmological horizon entropy as well as black hole (BH) entropy. First, we consider phantom energy accretion onto the Schwarzschild BH in the closed Friedmann–Robertson–Walker universe and investigate the validity of the GSLT on the apparent and event horizons. In another scenario, we evaluate the critical mass of the Schwarzschild BH with upper and lower bounds under accretion process due to phantom-like modified generalized chaplygin gas. It is found that the GSLT is respected within these bounds and BH cannot accrete outside them. Finally, we explore this law for a closed universe filled with interacting n-components of fluid (in thermal equilibrium case) and with noninteracting dark matter and dark energy components (in thermal nonequilibrium case) on the apparent and event horizons and find conditions for its validity.
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9

See, Tian Feng. "Few-photon transport in strongly interacting light-matter systems: A scattering approach." International Journal of Quantum Information 17, no. 06 (September 2019): 1950050. http://dx.doi.org/10.1142/s0219749919500503.

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Engineering strong photon–photon interactions at the quantum level have been crucial in various areas of research, notably in quantum information processing and quantum simulation. It is often done by coupling matter strongly to light. A promising way to achieve this is via waveguide quantum electrodynamics (QED). Motivated by these advancements, we study few-photon transport in waveguide QED setups. First, we present a diagrammatic technique to systematically study multiphoton scattering based on the scattering formalism and Green’s function approach. We demonstrate our proposal through physically relevant examples involving scattering of few-photon states from two-level emitters as well as from arrays of correlated Kerr nonlinear resonators described by the Bose–Hubbard model. In the second part, we apply the diagrammatic technique that was developed to perform a comprehensive study on a Bose–Hubbard lattice with a quasi-periodic potential. This model exhibits many-body localisation. We compute the two-photon transmission probability and show that it carries signatures of the underlying localisation transition with close agreement to the participation ratio of the eigenstates. The systematic scattering approach provided in this paper provides a foundation for future works at the interface between quantum optics and condensed matter.
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10

Shepelin, A. V., A. M. Rostom, V. A. Tomilin, and L. V. Il’ichov. "Multiworld motives by closed time-like curves." Journal of Physics: Conference Series 2081, no. 1 (November 1, 2021): 012029. http://dx.doi.org/10.1088/1742-6596/2081/1/012029.

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Abstract We propose a new model, entitled S-CTC, for description of quantum systems in the presence of CTC – closed time-like curves. The model is based on the viewpoint on any quantum state as an observer’s state of knowledge of the system preparation procedure. We compare and contrast our S-CTC model with D-CTC and P-CTC models and show that S-CTC shares special quantum features with both D-CTC and P-CTC. As far as the interaction of the quantum system with itself coming from the future concerns, S-CTC is formally equivalent to P-CTC. On the other hand, when calculating outcome probabilities for a measurement within the time interval between the entrance and exit of CTC, S-CTC becomes equivalent to D-CTC. Both these models require the concept of alternative realities (worlds) where different measurement outcomes are recorded and alternative connections of these realities by CTC.
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Дисертації з теми "Closed Interacting Quantum Systems"

1

Williams, Ceri Rhys. "Quantum interacting branching systems." Thesis, University of Nottingham, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.416728.

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2

Stellin, Filippo. "Anderson localization in interacting quantum systems." Thesis, Université de Paris (2019-....), 2020. http://www.theses.fr/2020UNIP7004.

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Dans cette thèse nous étudions au niveau théorique le comportement des particules quantiques (électrons, atomes, photons, etc.) se mouvant dans un milieu désordonné et sujets à la localisation d’Anderson. Pour des particules non interagissantes, le spectre de l’énergie peut posséder un ou plus points critiques, où les fonctions d’onde étendues deviennent localisées, en donnant lieu à une transition de phase métal-isolant connue comme Transition d’Anderson.Une question fondamentale est si et comment les transitions d’Anderson survivent dans des systèmesquantiques interagissants. Dans cet ouvrage, nous étudions un modèle simple décrivant le cas de deux particules dans un réseau désordonné et sujettes à des interactions mutuelles à courte portée. En combinant des simulations numériques sur une grande échelle avec des techniques à la fonction de Green, nous montrons que les transitions d’Anderson à deux particules se produisent en trois dimensions et explorons le diagramme de phase dans l’espace de l’énergie, du désordre et de l’interaction.Cette dernière présente une structure riche, caractérisée par un double renfoncement de la limite de phase, engendrée par la compétition entre les états de diffusion et les états liés de la paire. Nous prouvons aussi que les annonces précédentes concernant l’apparition de transitions d’Anderson en deux dimensions étaient essentiellement dues à des effets de taille finie.Un deuxième problème que nous abordons dans cette thèse est celui de l’occurrence de transitions métal-isolant en deux dimensions pour une particule en la présence d’un potentiel spatialement corrélé et sujette à des interactions spin-orbite, modélisées par les couplages Rashba-Dresselhaus. On éclaire que, indépendamment des propriétés du désordre, il y a un régime où l’énergie critique dépend linéairement du paramètre de désordre. La pente et l’intercepte sont étudiées en voisinage du point de symétrie spin-hélice persistant, dans lequel la symétrie SU(2) est restaurée et la transition métal-isolant disparaît
In this thesis we theoretically investigate the behaviour of quantum particles (electrons, atoms, photons, etc.) moving in a random medium and undergoing Anderson localization. For noninteractingparticles, the energy spectrum can possess one or more critical points, where the nature of the single-particle wavefunctions changes from extended to localized leading to a undergoes a metal-insulator phase transition, also known as Anderson transition.A fundamental question is whether and how Anderson transitions survive in interacting quantum systems. Here we study a minimal model of two particles moving in a disordered lattice and subject to short-range mutual interactions. By combining large-scale numerics with Green’s functions techniques, we show that two-particle Anderson transitions do occur in three dimensions and explore the phase diagram in the space of energy, disorder and interaction strength. The latter presents a rich structure, characterized by a doubly reentrant behavior, caused by the competition between scattering and bound states of the pair. We also show that previous claims of 2D Anderson transitions of the pair are essentially due to finite-size effects.A second problem that we address in this thesis is the occurrence of 2D metal-insulator transitions for a single particle in the presence of a spatially correlated potential and subject to spin-orbit interactions, described by Rashba-Dresselhaus couplings. We illustrate that, irrespective of the properties of the disorder, there is a regime where the critical energy depends linearly on the disorder strength. The slope and the intercept are studied in the vicinity of the spin-helix point, where the SU(2) symmetry is restored and the 2D metal-insulator transition disappears
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3

Kasztelan, Christian. "Strongly Interacting Quantum Systems out of Equilibrium." Diss., lmu, 2010. http://nbn-resolving.de/urn:nbn:de:bvb:19-124827.

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4

Bayani, Babak [Verfasser]. "Interacting quantum-dissipative tunnelling systems / Babak Bayani." Mainz : Universitätsbibliothek Mainz, 2012. http://d-nb.info/1019453125/34.

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5

Kriel, Johannes Nicolaas. "A duality construction for interacting quantum Hall systems." Thesis, Stellenbosch : University of Stellenbosch, 2011. http://hdl.handle.net/10019.1/6749.

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Thesis (PhD)--University of Stellenbosch, 2011.
ENGLISH ABSTRACT: The fractional quantum Hall effect represents a true many-body phenomenon in which the collective behaviour of interacting electrons plays a central role. In contrast to its integral counterpart, the appearance of a mobility gap in the fractional quantum Hall regime is due entirely to the Coulomb interaction and is not the result of a perturbed single particle gap. The bulk of our theoretical understanding of the underlying many-body problem is based on Laughlin’s ansatz wave function and the composite fermion picture proposed by Jain. In the latter the fractional quantum Hall effect of interacting electrons is formulated as the integral quantum Hall effect of weakly interacting quasiparticles called composite fermions. The composite fermion picture provides a qualitative description of the interacting system’s low-energy spectrum and leads to a generalisation of Laughlin’s wave functions for the electron ground state. These predictions have been verified through extensive numerical tests. In this work we present an alternative formulation of the composite fermion picture within a more rigorous mathematical framework. Our goal is to establish the relation between the strongly interacting electron problem and its dual description in terms of weakly interacting quasiparticles on the level of the microscopic Hamiltonian itself. This allows us to derive an analytic expression for the interaction induced excitation gap which agrees very well with existing numerical results. We also formulate a mapping between the states of the free particle and interacting descriptions in which the characteristic Jastrow-Slater structure of the composite fermion ansatz appears naturally. Our formalism also serves to clarify several aspects of the standard heuristic construction, particularly with regard to the emergence of the effective magnetic field and the role of higher Landau levels. We also resolve a long standing issue regarding the overlap of unprojected composite fermion trial wave functions with the lowest Landau level of the free particle Hamiltonian.
AFRIKAANSE OPSOMMING: Die fraksionele kwantum Hall-effek is ’n veeldeeltjie verskynsel waarin die kollektiewe gedrag van wisselwerkende elektrone ’n sentrale rol speel. In teenstelling met die heeltallige kwantum Hall-effek is die ontstaan van ’n energie gaping in die fraksionele geval nie ’n enkeldeeltjie effek nie, maar kan uitsluitlik aan die Coulomb wisselwerking toegeskryf word. Die teoretiese raamwerk waarbinne hierdie veeldeeltjie probleem verstaan word is grootliks gebaseer op Laughlin se proefgolffunksie en die komposiete-fermion beeld van Jain. In laasgenoemde word die fraksionele kwantum Hall-effek van wisselwerkende elektrone geformuleer as die heeltallige kwantum Hall-effek van swak-wisselwerkende kwasi-deeljies wat as komposiete-fermione bekend staan. Hierdie beeld lewer ’n kwalitatiewe beskrywing van die wisselwerkende sisteem se lae-energie spektrum en lei tot ’n veralgemening van Laughlin se golffunksies vir die elektron grondtoestand. Hierdie voorspellings is deur verskeie numeriese studies geverifieer. In hierdie tesis ontwikkel ons ’n alternatiewe formulering van die komposiete-fermion beeld binne ’n strenger wiskundige raamwerk. Ons doel is om die verband tussen die sterk-wisselwerkende elektron sisteem en sy duale beskrywing in terme van swak-wisselwerkende kwasi-deeltjies op die vlak van die mikroskopiese Hamilton-operator self te realiseer. Hierdie konstruksie lei tot ’n analitiese uitdrukking vir die opwekkingsenergie wat baie goed met bestaande numeriese resultate ooreenstem. Ons identifiseer ook ’n afbeelding tussen die vrye-deeltjie en wisselwerkende toestande waarbinne die Jastrow-Slater struktuur van die komposiete-fermion proefgolffunksies op ’n natuurlike wyse na vore kom. Verder werp ons formalisme nuwe lig op kwessies binne die standaard heuristiese konstruksie, veral met betrekking tot die oorsprong van die effektiewe magneetveld en die rol van ho¨er effektiewe Landau vlakke. Ons lewer ook uitspraak oor die vraagstuk van die oorvleueling van ongeprojekteerde komposiete-fermion golffunksies met die laagste Landau vlak van die vrye-deeltjie Landau probleem.
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6

Antonio, R. G. "Quantum computation and communication in strongly interacting systems." Thesis, University College London (University of London), 2015. http://discovery.ucl.ac.uk/1469437/.

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Each year, the gap between theoretical proposals and experimental endeavours to create quantum computers gets smaller, driven by the promise of fundamentally faster algorithms and quantum simulations. This occurs by the combination of experimental ingenuity and ever simpler theoretical schemes. This thesis comes from the latter perspective, aiming to find new, simpler ways in which components of a quantum computer could be built. We first search for ways to create quantum gates, the primitive building blocks of a quantum computer. We find a novel, low-control way of performing a two-qubit gate on qubits encoded in a decoherence-free subspace, making use of many-body interactions that may already be present. This includes an analysis of the effect of control errors and magnetic field fluctuations on the gate. We then present novel ways to create three-qubit Toffoli and Fredkin gates in a single step using linear arrays of qubits, including an assessment of how well these gates could perform, for quantum or classical computation, using state-of-the-art ion trap and silicon donor technology. We then focus on a very different model from the normal circuit model, combining ideas from measurement-based quantum computation (MBQC) and holonomic quantum computation. We generalise an earlier model to show that all MBQC patterns with a property called gflow can be converted into a holonomic computation. The manifestation of the properties of MBQC in this adiabatically driven model is then explored. Finally, we investigate ways in which quantum information can be communicated between distant parties, using minimally engineered spin chains. The viability of using 1D Wigner crystals as a quantum channel is analysed, as well as schemes using ideal uniform spin chains with nextneighbour interactions, and edge-locking effects.
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7

Genway, Sam. "Thermalisation and temporal relaxation in closed quantum systems." Thesis, Imperial College London, 2011. http://hdl.handle.net/10044/1/9137.

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This thesis approaches questions concerning the thermalisation of subsystems of closed quantum systems, prepared in pure states of definite energy but far from equilibrium, under exact unitary evolution. Taking motivation from experiments in the field of ultracold atoms, an extensive study of relaxation to a thermal state in the Hubbard model is presented. The study of small local subsystems in Hubbard-model lattice clusters has led to some interesting findings. Explored are the effects of interactions between fermions, the initial-state energy and the energy uncertainty in the initial state and their effects on relaxation dynamics and thermalisation. The most significant finding is that while subsystem thermalisation is seen for a large range of subsystem-bath coupling strengths, the temporal form of the relaxation varies markedly from exponential decay for weak couplings with a crossover to Gaussian behaviour with increased coupling strength. This is found to hold more generally for random couplings between the subsystem and bath and for bosons as well as fermions, thus demonstrating generality. As well as being demonstrated numerically, this behaviour is derived for a generic class of bi-partite quantum systems which may be described with the use of random matrices. A Brownian motion model is employed to show the exponential to Gaussian crossover when the subsystem-bath coupling matrix takes a banded form. This result agrees well with numerical Hubbard-model results, and yields identical results at short times to those from straight-forward perturbative methods. It is demonstrated that the non-Markovian Gaussian behaviour should also be observable in the limit of macroscopic baths.
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8

Rau, Sebastian [Verfasser]. "Optimal Control of interacting Quantum Particle Systems / Sebastian Rau." München : Verlag Dr. Hut, 2013. http://d-nb.info/1042308470/34.

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9

Kerner, Joachim Friedrich. "Interacting many-particle systems on general compact quantum graphs." Thesis, University of London, 2013. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.603454.

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In this thesis, we discuss many-particle systems on general compact quantum graphs. The results cover systems of distinguishable particles as well as systems of bosons or fermions. The main focus lies on the introduction of many-particle interactions in order to establish a useful model regarding many-particle quantum chaos 811d onc-dimensional Bose-Einstein condensation (BEC). Using suitable quadratic forms, we will characterise self-adjoint realisations of the two- and many-particle Laplacian which incorporate two different types of interactions, i.e. singular interactions localised at the vertices of the graph and contact interactions which are also present along the edges. In that context, we will establish regularity results in order to characteristic the domains of the self-adjoint realisations explicitly. We will also discuss spectral properties of the constructed operators by establishing discreteness of their spectra and Weyl laws for the corresponding eigenvalue counts. Finally, based on the introduced models of interacting particles, we discuss BoseEinstein condensation on general quantum graphs. We will distinguish between systems of bosons for which BEC occurs and such for which no BEC is present at any finite temperature. As a final result, we prove that no Bose-Einstein condensation occurs (in the sense of phase transitions) in a system of bosons interacting via repulsive hard-core interactions.
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10

Thomson, Steven. "The effects of disorder in strongly interacting quantum systems." Thesis, University of St Andrews, 2016. http://hdl.handle.net/10023/9441.

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This thesis contains four studies of the effects of disorder and randomness on strongly correlated quantum phases of matter. Starting with an itinerant ferromagnet, I first use an order-by-disorder approach to show that adding quenched charged disorder to the model generates new quantum fluctuations in the vicinity of the quantum critical point which lead to the formation of a novel magnetic phase known as a helical glass. Switching to bosons, I then employ a momentum-shell renormalisation group analysis of disordered lattice gases of bosons where I show that disorder breaks ergodicity in a non-trivial way, leading to unexpected glassy freezing effects. This work was carried out in the context of ultracold atomic gases, however the same physics can be realised in dimerised quantum antiferromagnets. By mapping the antiferromagnetic model onto a hard-core lattice gas of bosons, I go on to show the importance of the non-ergodic effects to the thermodynamics of the model and find evidence for an unusual glassy phase known as a Mott glass not previously thought to exist in this model. Finally, I use a mean-field numerical approach to simulate current generation quantum gas microscopes and demonstrate the feasibility of a novel measurement scheme designed to measure the Edwards-Anderson order parameter, a quantity which describes the degree of ergodicity breaking and which has never before been experimentally measured in any strongly correlated quantum system. Together, these works show that the addition of disorder into strongly interacting quantum systems can lead to qualitatively new behaviour, triggering the formation of new phases and new physics, rather than simply leading to small quantitative changes to the physics of the clean system. They provide new insights into the underlying physics of the models and make direct connection with experimental systems which can be used to test the results presented here.
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Книги з теми "Closed Interacting Quantum Systems"

1

Nozières, Philippe. Theory of interacting Fermi systems. Reading, Mass: Addison-Wesley, 1997.

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2

Albrecht, Andreas Johann. Identifying dechohering paths in closed quantum systems. [Batavia, Ill.]: Fermi National Accelerator Laboratory, 1990.

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3

Moral, Pierre Del. Feynman-Kac formulae: Genealogical and interacting particle systems with applications. New York: Springer-Verlag, 2004.

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4

Clos, Govinda. Trapped atomic ions for fundamental studies of closed and open quantum systems. Freiburg: Universität, 2017.

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5

Thermal relaxation for particle systems in interaction with several bosonic heat reservoirs. Norderstedt: Books on Demand GmbH, 2004.

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1938-, Arenhövel H., ed. Many body structure of strongly interacting systems: Refereed and selected contributions of the symposium "20 years of physics at the Mainz Microtron MAMI," Mainz, Germany, October 19-22, 2005. Bologna, Italy: Societá italiana di fisica, 2006.

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1975-, Sims Robert, and Ueltschi Daniel 1969-, eds. Entropy and the quantum II: Arizona School of Analysis with Applications, March 15-19, 2010, University of Arizona. Providence, R.I: American Mathematical Society, 2011.

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8

Accardi, Luigi, and Franco Fagnola. Quantum Interacting Particle Systems. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/5055.

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Giamarchi, Thierry, Andrew J. Millis, Olivier Parcollet, Hubert Saleur, and Leticia F. Cugliandolo, eds. Strongly Interacting Quantum Systems out of Equilibrium. Oxford University Press, 2016. http://dx.doi.org/10.1093/acprof:oso/9780198768166.001.0001.

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Morawetz, Klaus. Interacting Systems far from Equilibrium: Quantum Kinetic Theory. Oxford University Press, 2018.

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Частини книг з теми "Closed Interacting Quantum Systems"

1

Chiew, Shao-Hen, Leong-Chuan Kwek, and Chee-Kong Lee. "Exploring the Dynamics of Quantum Information in Many-Body Localised Systems with High Performance Computing." In Supercomputing Frontiers, 43–58. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-10419-0_4.

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Abstract Conventional many-body quantum systems thermalize under their own dynamics, losing information about their initial configurations to the environment. However, it is known that a strong disorder results in many-body localization (MBL). A closed quantum systems with MBL retains local information even in the presence of interactions. Here, we numerically study the propagation and scrambling of quantum information of a closed system in the MBL phase from an information theoretic perspective. By simulating the dynamics and equilibration of the temporal mutual information for long times, we see that it can distinguish between MBL and ergodic phases.
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Coolen, Anthony C. C., Theodore Nikoletopoulos, Shunta Arai, and Kazuyuki Tanaka. "Dynamical Analysis of Quantum Annealing." In Sublinear Computation Paradigm, 295–317. Singapore: Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-4095-7_12.

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AbstractQuantum annealing aims to provide a faster method than classical computing for finding the minima of complicated functions, and it has created increasing interest in the relaxation dynamics of quantum spin systems. Moreover, problems in quantum annealing caused by first-order phase transitions can be reduced via appropriate temporal adjustment of control parameters, and in order to do this optimally, it is helpful to predict the evolution of the system at the level of macroscopic observables. Solving the dynamics of quantum ensembles is nontrivial, requiring modeling of both the quantum spin system and its interaction with the environment with which it exchanges energy. An alternative approach to the dynamics of quantum spin systems was proposed about a decade ago. It involves creating stochastic proxy dynamics via the Suzuki-Trotter mapping of the quantum ensemble to a classical one (the quantum Monte Carlo method), and deriving from this new dynamics closed macroscopic equations for macroscopic observables using the dynamical replica method. In this chapter, we give an introduction to this approach, focusing on the ideas and assumptions behind the derivations, and on its potential and limitations.
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Nishijima, Kazuhiko, Masud Chaichian, and Anca Tureanu. "Quantization of Interacting Systems." In Quantum Field Theory, 105–25. Dordrecht: Springer Netherlands, 2022. http://dx.doi.org/10.1007/978-94-024-2190-3_6.

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Deych, Lev I. "Non-interacting Many-Particle Systems." In Advanced Undergraduate Quantum Mechanics, 345–87. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-71550-6_11.

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Accardi, Luigi, and Sergei Kozyrev. "Quantum Boltzmann Statistics in Interacting Systems." In Stochastic Analysis and Mathematical Physics II, 1–7. Basel: Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-8018-3_1.

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Rivas, Angel, and Susana F. Huelga. "Time Evolution in Closed Quantum Systems." In SpringerBriefs in Physics, 15–17. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-23354-8_2.

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Zimanyi, Gergely T. "Quantum Phase Transitions in Interacting Bose Systems." In Quantum Dynamics of Submicron Structures, 549–64. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-011-0019-9_44.

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Pulé, J. V. "Bose-Einstein Condensation in Some Interacting Systems." In Fundamental Aspects of Quantum Theory, 247–52. Boston, MA: Springer US, 1986. http://dx.doi.org/10.1007/978-1-4684-5221-1_28.

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Walschaers, Mattia. "Efficient Transport in Closed Systems." In Statistical Benchmarks for Quantum Transport in Complex Systems, 77–143. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-93151-7_4.

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Lukkarinen, Jani. "Kinetic Theory and Thermalization of Weakly Interacting Fermions." In Macroscopic Limits of Quantum Systems, 1–28. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-01602-9_1.

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Тези доповідей конференцій з теми "Closed Interacting Quantum Systems"

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Mandel’, Arkadiy M., Vadim B. Oshurko, George I. Solomakho, Alexandr A. Shartz, and Kirill G. Solomakho. "Quantum Dissipative Mechanism of Noncontact Friction." In ASME 2016 Conference on Information Storage and Processing Systems. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/isps2016-9533.

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It is well known that two ideally confident surfaces should give the effect of superlubricity, e.g. should slide without friction. In principle, the superlubricity deals with absence of energy dissipation mechanism. If we consider interatomic interactions, we see that the number of atoms, which resist sliding is equal to the number of atoms that push slider. In the case of noncontact quantum friction interacting surfaces are divided by some spatial interval. This sliding can take place in probe (atomic force or scanning tunneling) microscopy. However, experiments usually show nonzero friction force in this case. Nowadays there are several mechanisms of the noncontact friction. According to all of these models the noncontact friction arises from photons momentum transfer between surfaces. But there is much more efficient mechanism of noncontact friction dealing with electron tunneling. Two tunneling electron flows or tunneling currents between close conductive surfaces transmit momentum from a moving body (slider) to the fixed one (substrate) and at the same time in backward direction. At the thermodynamic equilibrium conditions these two counter-flows are equal. We have calculated these flows. Two different approaches have been applied — quantum mechanical and quasi-classical ones. The complex shape of the sliding surface have been taken into account by introduction of special function for the distribution of the tunneling gap width. In this model, noncontact friction is similar to Newtonian viscous friction in the fluid. Friction force has been calculated for both variants. Numerical evaluations according to both formulas have shown rather similar results. It has been found that in both cases friction force is proportional to the slider’s speed and exponentially decreases with increase of the tunneling gap. In addition, the friction force disappears at zero temperature. The tangential stresses have been obtained from numerical calculations for different surfaces with different roughness and for the atomically smooth surfaces. These values are close to macroscopic friction stress in experiments.
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Smith, Charles E., and Michael R. von Spakovsky. "Time Evoultion of Entropy in a System Comprised of a Boltzmann Type Gas: An Application of the Beretta Equation of Motion." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-42933.

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Basing his work on a new formulation of thermodynamics called the Unified Quantum Theory of Mechanics and Thermodynamics first published in a series of four ground breaking papers in 1976 (Hatsopoulos and Gyftopoulos, 1976a, b, c, d), Beretta develops a dynamical postulate (Beretta et al. 1984; Beretta, Gyftopoulos, and Park, 1985) consistent both with the non-dynamical quantum mechanical postulates of the Unified Theory as well as with its thermodynamic ones (the 2nd Law in particular). The theory itself simply and elegantly extends in a unified fashion the concepts of thermodynamics to quantum mechanics and the concepts of quantum mechanics to thermodynamics. It does so without the bridge traditionally used, i.e. statistical mechanics, eliminating a number of the ambiguities, tautologies, and inconsistencies (including a built-in violation of the 2nd Law) inherent in the presentations of both Classical and Statistical Thermodynamics. This new formulation generalizes thermodynamics so that it applies to all systems large or small (including one particle systems) either in a state of thermodynamic (i.e. stable) equilibrium or not in a state of thermodynamic equilibrium. The Beretta equation of motion describes the time evolution of the state of a system via a density operator which is uniquely based on an unambiguous preparation of an ensemble of identical systems, i.e. the so-called homogenous or irreducible ensemble, and does so both for unitary and non-unitary reversible as well as irreversible processes. In this paper, we present a simple application of this general equation of motion to the time evolution of the entropy of a closed system comprised of a Boltzmann type gas consisting of one or of many particles undergoing an irreversible process. A number of different energy eigenlevels and initial states and their effects on entropy generation and the final state of maximum entropy, i.e. stable equilibrium, are examined. A simple time-dependent work interaction is introduced into the formulation to show how this in turn affects the evolution of the state of the system.
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Kuhl, J., E. J. Mayer, G. O. Smith, D. Bennhardt, T. Meier, A. Schulze, P. Thomas, R. Hey, and K. Ploog. "Contributions of Bound and Unbound Two-Exciton States to the Nonlinear Optical Response of GaAs Quantum Wells." In International Conference on Ultrafast Phenomena. Washington, D.C.: Optica Publishing Group, 1994. http://dx.doi.org/10.1364/up.1994.md.5.

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The strong influence of exciton/exciton interaction on the nonlinear optical response of the 2D exciton in GaAs quantum wells has been demonstrated in several recent experimental studies. The theoretical model for the microscopic coupling mechanism is still the subject of controversy, however. In ref. [1], we have presented a model including a density dependent coupling between opposite spin excitons which assumes that the interaction results in a renormalization of the matrix elements, dephasing rates and energies of the transition from the single-exciton state to the two-exciton state with respect to the corresponding quantities for the single exciton transitions. In contrast, Wang et al. claim that all experimental observations are explained by a density induced dephasing rate and that biexciton states play no role [2]. Here we present a new 3-pulse degenerate-four-wave-mixing (DFWM) configuration which is able to differentiate between pure local field effects and biexcitonic contributions to the time-integrated signal. Experiments were performed on an almost homogeneously broadened GaAs/Al0.3Ga0.7As single QW (well width 20 nm, photoluminescence line 0.3 meV, homogenous linewidth 0.15 meV) in the backward reflection geometry. The sample was cooled to 10 K and excited by a sequence of three pulses (1.1 ps duration) with equal intensity, wave vectors k→1,k→2,k→3 and delays τ12 and τ13 between the second and first and the third and first pulse, respectively. The signal was monitored in the direction k→ s =k→1+k→2−k→3 which provides no signal for the chosen pulse length if local field and renormalization effects are negligible. The peak intensity of the time-integrated DFWM signal has been calculated by solving the optical Bloch for a system of two non-interacting two-level systems (2LS) with opposite circular polarization selection rules (local field effect) and for the renormalized four-level system (4LS) depicted in Fig. 1 which assumes the formation of biexcitons between excitons with opposite spins. The signal strength is proportional to the strength of the local field in the case of the 2LS and to the renormalization for the 4LS. The peak signal intensities expected for pure local field and pure biexction contributions are summarized in the second and third column of Table 1 for eight experimental configurations applying different linear and circularly polarized pulses. The values are normalized to the signal strength predicted for three parallel linearly polarized pulses. Close inspection of the data reveals remarkable differences of the peak amplitude with polarization geometry for the two coupling models.
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ACCARDI, LUIGI, and SERGEI KOZYREV. "QUANTUM BOLTZMANN STATISTICS IN INTERACTING SYSTEMS." In Proceedings of the Conference. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704290_0002.

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Evers, Jörg, Martin Kiffner, Christoph H. Keitel, Theodore E. Simos, and George Maroulis. "Quantum Control of Interacting Multiatom Systems." In COMPUTATIONAL METHODS IN SCIENCE AND ENGINEERING: Theory and Computation: Old Problems and New Challenges. Lectures Presented at the International Conference on Computational Methods in Science and Engineering 2007 (ICCMSE 2007): VOLUME 1. AIP, 2007. http://dx.doi.org/10.1063/1.2836200.

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Gadomsky, Oleg N., and Konstantin K. Altunin. "Quantum teleportation in interacting hydrogenlike atom systems." In Eighth International Readings on Quantum Optics: IRQO '99, edited by Vitaly V. Samartsev. SPIE, 2000. http://dx.doi.org/10.1117/12.375354.

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Richerme, P., P. W. Hess, A. Lee, B. Neyenhuis, J. Smith, J. Zhang, and C. Monroe. "Interacting Many-Body Spin Systems that Fail to Quantum Thermalize." In Quantum Information and Measurement. Washington, D.C.: OSA, 2017. http://dx.doi.org/10.1364/qim.2017.qt4a.1.

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Izrailev, F. M. "Regular versus chaotic dynamics in closed systems of interacting Fermi particles." In NUCLEI AND MESOSCOPIC PHYSICS: Workshop on Nuclei and Mesoscopic Physics: WNMP 2004. AIP, 2005. http://dx.doi.org/10.1063/1.1996878.

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Uleysky, M. Yu, and S. V. Prants. "Quantum Chaos and Quantum Fractals With Atoms and Photons in a Microcavity." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84090.

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Nonlinear dynamics in the fundamental interaction between a two-level atom with recoil and a quantized radiation field in a high-quality microcavity is studied. We consider the strongly coupled atom-field system as a quantum-classical hybrid with dynamically coupled quantum and classical egrees of freedom. We show that, even in the absence of any other interaction with environment, the coupling of quantum and classical degrees of freedom provides the emergence of classical dynamical chaos from quantum electrodynamics. It manifest itself in the atomic external degree of freedom as a random walking of an atom inside a cavity with a prominent fractal-like behavior and in the quantum atom-filed degrees of freedom as a sensitive dependence of atomic inversion on small variations in initial conditions. It is shown that dependences of variance of quantum entanglement and of the maximum Lyapunov exponent on the detuning of the atom-field resonance correlate strongly. This result provides a quantum-classical correspondence in a closed physical system.
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Degiovanni, Pascal, and S. Peysson. "Life and death of Schrödinger cats in 1D interacting fermion systems." In Non-perturbative Quantum Effects 2000. Trieste, Italy: Sissa Medialab, 2000. http://dx.doi.org/10.22323/1.006.0049.

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