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Gotowa bibliografia na temat „Geometric Phase Transition”

Autor: Grafiati

Data publikacji: 7 września 2023

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Artykuły w czasopismach na temat "Geometric Phase Transition"

1

ZHU, SHI-LIANG. "GEOMETRIC PHASES AND QUANTUM PHASE TRANSITIONS." International Journal of Modern Physics B 22, no. 06 (2008): 561–81. http://dx.doi.org/10.1142/s0217979208038855.

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Quantum phase transition is one of the main interests in the field of condensed matter physics, while geometric phase is a fundamental concept and has attracted considerable interest in the field of quantum mechanics. However, no relevant relation was recognized before recent work. In this paper, we present a review of the connection recently established between these two interesting fields: investigations in the geometric phase of the many-body systems have revealed the so-called "criticality of geometric phase", in which the geometric phase associated with the many-body ground state exhibits universality, or scaling behavior in the vicinity of the critical point. In addition, we address the recent advances on the connection of some other geometric quantities and quantum phase transitions. The closed relation recently recognized between quantum phase transitions and some of the geometric quantities may open attractive avenues and fruitful dialogue between different scientific communities.

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2

Wei, Shao-Wen, Yu-Xiao Liu, Chun-E. Fu, and Hai-Tao Li. "Geometric Curvatures of Plane Symmetry Black Hole." Advances in High Energy Physics 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/734138.

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We study the properties and thermodynamic stability of the plane symmetry black hole from the viewpoint of geometry. We find that the Weinhold curvature gives the first-order phase transition atN=1, whereNis a parameter of the plane symmetry black hole while the Ruppeiner one shows first-order phase transition points for arbitraryN≠1. Considering the Legendre invariant proposed by Quevedo et al., we obtain a unified geometry metric, which contains the information of the second-order phase transition. So, the first-order and second-order phase transitions can be both reproduced from the geometry curvatures. The geometry is also found to be curved, and the scalar curvature goes to negative infinity at the Davie phase transition points beyond semiclassical approximation.

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3

Gebhart, Valentin, Kyrylo Snizhko, Thomas Wellens, Andreas Buchleitner, Alessandro Romito, and Yuval Gefen. "Topological transition in measurement-induced geometric phases." Proceedings of the National Academy of Sciences 117, no. 11 (2020): 5706–13. http://dx.doi.org/10.1073/pnas.1911620117.

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The state of a quantum system, adiabatically driven in a cycle, may acquire a measurable phase depending only on the closed trajectory in parameter space. Such geometric phases are ubiquitous and also underline the physics of robust topological phenomena such as the quantum Hall effect. Equivalently, a geometric phase may be induced through a cyclic sequence of quantum measurements. We show that the application of a sequence of weak measurements renders the closed trajectories, hence the geometric phase, stochastic. We study the concomitant probability distribution and show that, when varying the measurement strength, the mapping between the measurement sequence and the geometric phase undergoes a topological transition. Our finding may impact measurement-induced control and manipulation of quantum states—a promising approach to quantum information processing. It also has repercussions on understanding the foundations of quantum measurement.

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4

Liu, Kun, and Shujuan Yi. "Geometric Phase and Quantum Phase Transition in Charge-Qubit Array." International Journal of Theoretical Physics 57, no. 9 (2018): 2828–30. http://dx.doi.org/10.1007/s10773-018-3802-7.

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5

DEMIRTÜRK, SEMRA, and YIĞIT GÜNDÜÇ. "A GEOMETRIC APPROACH TO THE PHASE TRANSITIONS." International Journal of Modern Physics C 12, no. 09 (2001): 1361–73. http://dx.doi.org/10.1142/s0129183101002632.

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In this work, we have proposed a new geometrical method for calculating the critical temperature and critical exponents by introducing a set of bond breaking probability values. The probability value Pc corresponding to the Coniglio–Klein probability for the transition temperature is obtained among this set of trial probabilities. Critical temperature, thermal and magnetic exponents are presented for d = 2 and d = 3, q = 2 Potts model and for the application of the method to the system with first order phase transition, q = 7 Potts model on different size lattices are employed. The advantage of this method can be that the bond breaking probability can be applied, where the clusters are defined on a set of dynamic variables, which are different from the dynamic quantities of the actual Hamiltonian or the action of the full system. An immediate application can be to use the method on finite temperature lattice gauge theories.

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6

Franzosi, Roberto, Domenico Felice, Stefano Mancini, and Marco Pettini. "A geometric entropy detecting the Erdös-Rényi phase transition." EPL (Europhysics Letters) 111, no. 2 (2015): 20001. http://dx.doi.org/10.1209/0295-5075/111/20001.

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7

Bel-Hadj-Aissa, Ghofrane, Matteo Gori, Vittorio Penna, Giulio Pettini, and Roberto Franzosi. "Geometrical Aspects in the Analysis of Microcanonical Phase-Transitions." Entropy 22, no. 4 (2020): 380. http://dx.doi.org/10.3390/e22040380.

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In the present work, we discuss how the functional form of thermodynamic observables can be deduced from the geometric properties of subsets of phase space. The geometric quantities taken into account are mainly extrinsic curvatures of the energy level sets of the Hamiltonian of a system under investigation. In particular, it turns out that peculiar behaviours of thermodynamic observables at a phase transition point are rooted in more fundamental changes of the geometry of the energy level sets in phase space. More specifically, we discuss how microcanonical and geometrical descriptions of phase-transitions are shaped in the special case of ϕ 4 models with either nearest-neighbours and mean-field interactions.

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8

Viotti, Ludmila, Ana Laura Gramajo, Paula I. Villar, Fernando C. Lombardo, and Rosario Fazio. "Geometric phases along quantum trajectories." Quantum 7 (June 2, 2023): 1029. http://dx.doi.org/10.22331/q-2023-06-02-1029.

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A monitored quantum system undergoing a cyclic evolution of the parameters governing its Hamiltonian accumulates a geometric phase that depends on the quantum trajectory followed by the system on its evolution. The phase value will be determined both by the unitary dynamics and by the interaction of the system with the environment. Consequently, the geometric phase will acquire a stochastic character due to the occurrence of random quantum jumps. Here we study the distribution function of geometric phases in monitored quantum systems and discuss when/if different quantities, proposed to measure geometric phases in open quantum systems, are representative of the distribution. We also consider a monitored echo protocol and discuss in which cases the distribution of the interference pattern extracted in the experiment is linked to the geometric phase. Furthermore, we unveil, for the single trajectory exhibiting no quantum jumps, a topological transition in the phase acquired after a cycle and show how this critical behavior can be observed in an echo protocol. For the same parameters, the density matrix does not show any singularity. We illustrate all our main results by considering a paradigmatic case, a spin-1/2 immersed in time-varying a magnetic field in presence of an external environment. The major outcomes of our analysis are however quite general and do not depend, in their qualitative features, on the choice of the model studied.

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9

Zhang, Ruifeng, and Xiaojing Wang. "On generalized geometric domain-wall models." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 141, no. 4 (2011): 881–95. http://dx.doi.org/10.1017/s0308210510001198.

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We study domain walls that are topological solitons in one dimension. We present an existence theory for the solutions of the basic governing equations of some extended geometrically constrained domain-wall models. When the cross-section and potential density are both even, we establish the existence of an odd domain-wall solution realizing the phase-transition process between two adjacent domain phases. When the cross-section satisfies a certain integrability condition, we prove that a domain-wall solution always exists that links two arbitrarily designated domain phases.

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10

Cui, H. T., K. Li, and X. X. Yi. "Geometric phase and quantum phase transition in the Lipkin–Meshkov–Glick model." Physics Letters A 360, no. 2 (2006): 243–48. http://dx.doi.org/10.1016/j.physleta.2006.08.040.

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