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Relevant bibliographies by topics / Standard Equilibrium Quantum Systems

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Academic literature on the topic 'Standard Equilibrium Quantum Systems'

Author: Grafiati

Published: 7 September 2023

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Journal articles on the topic "Standard Equilibrium Quantum Systems"

1

Venuti, Lorenzo Campos, and Paolo Zanardi. "Theory of temporal fluctuations in isolated quantum systems." International Journal of Modern Physics B 29, no. 14 (2015): 1530008. http://dx.doi.org/10.1142/s021797921530008x.

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When an isolated quantum system is driven out of equilibrium, expectation values of general observables start oscillating in time. This paper reviews the general theory of such temporal fluctuations. We first survey some results on the strength of such temporal fluctuations. For example temporal fluctuations are exponentially small in the system's volume for generic systems whereas they fall-off algebraically in integrable systems. We then concentrate on the so-called quench scenario where the system is driven out-of-equilibrium under the application of a sudden perturbation. For sufficiently

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2

Álvarez-Estrada, Ramon F. "Approach to Equilibrium of Statistical Systems: Classical Particles and Quantum Fields Off-Equilibrium." Dynamics 3, no. 2 (2023): 345–78. http://dx.doi.org/10.3390/dynamics3020020.

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Non-equilibrium evolution at absolute temperature T and approach to equilibrium of statistical systems in long-time (t) approximations, using both hierarchies and functional integrals, are reviewed. A classical non-relativistic particle in one spatial dimension, subject to a potential and a heat bath (hb), is described by the non-equilibrium reversible Liouville distribution (W) and equation, with a suitable initial condition. The Boltzmann equilibrium distribution Weq generates orthogonal (Hermite) polynomials Hn in momenta. Suitable moments Wn of W (using the Hn’s) yield a non-equilibrium th

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3

Žunkovič, Bojan, Alessandro Silva, and Michele Fabrizio. "Dynamical phase transitions and Loschmidt echo in the infinite-range XY model." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 374, no. 2069 (2016): 20150160. http://dx.doi.org/10.1098/rsta.2015.0160.

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We compare two different notions of dynamical phase transitions in closed quantum systems. The first is identified through the time-averaged value of the equilibrium-order parameter, whereas the second corresponds to non-analyticities in the time behaviour of the Loschmidt echo. By exactly solving the dynamics of the infinite-range XY model, we show that in this model non-analyticities of the Loschmidt echo are not connected to standard dynamical phase transitions and are not robust against quantum fluctuations. Furthermore, we show that the existence of either of the two dynamical transitions

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4

FEDOROVA, ANTONINA N., and MICHAEL G. ZEITLIN. "PATTERN FORMATION IN QUANTUM ENSEMBLES." International Journal of Modern Physics B 20, no. 11n13 (2006): 1570–92. http://dx.doi.org/10.1142/s0217979206033875.

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We present a family of methods, analytical and numerical, which can describe behaviour in (non) equilibrium ensembles, both classical and quantum, especially in the complex systems, where the standard approaches cannot be applied. We demonstrate the creation of nontrivial (meta) stable states (patterns), localized, chaotic, entangled or decoherent, from basic localized modes in various collective models arising from the quantum hierarchy of Wigner-von Neumann-Moyal-Lindblad equations, which are the result of "wignerization" procedure of classical BBGKY hierarchy. We present the explicit descri

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5

Chen, Tyler, and Yu-Chen Cheng. "Numerical computation of the equilibrium-reduced density matrix for strongly coupled open quantum systems." Journal of Chemical Physics 157, no. 6 (2022): 064106. http://dx.doi.org/10.1063/5.0099761.

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We describe a numerical algorithm for approximating the equilibrium-reduced density matrix and the effective (mean force) Hamiltonian for a set of system spins coupled strongly to a set of bath spins when the total system (system + bath) is held in canonical thermal equilibrium by weak coupling with a “super-bath”. Our approach is a generalization of now standard typicality algorithms for computing the quantum expectation value of observables of bare quantum systems via trace estimators and Krylov subspace methods. In particular, our algorithm makes use of the fact that the reduced system dens

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6

Schmidt, Heinz-Jürgen, and Jochen Gemmer. "A Framework for Sequential Measurements and General Jarzynski Equations." Zeitschrift für Naturforschung A 75, no. 3 (2020): 265–84. http://dx.doi.org/10.1515/zna-2019-0272.

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AbstractWe formulate a statistical model of two sequential measurements and prove a so-called J-equation that leads to various diversifications of the well-known Jarzynski equation including the Crooks dissipation theorem. Moreover, the J-equation entails formulations of the Second Law going back to Wolfgang Pauli. We illustrate this by an analytically solvable example of sequential discrete position–momentum measurements accompanied with the increase of Shannon entropy. The standard form of the J-equation extends the domain of applications of the standard quantum Jarzynski equation in two res

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7

Rodríguez, Antonio, Alessandro Pluchino, Ugur Tirnakli, Andrea Rapisarda, and Constantino Tsallis. "Nonextensive Footprints in Dissipative and Conservative Dynamical Systems." Symmetry 15, no. 2 (2023): 444. http://dx.doi.org/10.3390/sym15020444.

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Despite its centennial successes in describing physical systems at thermal equilibrium, Boltzmann–Gibbs (BG) statistical mechanics have exhibited, in the last several decades, several flaws in addressing out-of-equilibrium dynamics of many nonlinear complex systems. In such circumstances, it has been shown that an appropriate generalization of the BG theory, known as nonextensive statistical mechanics and based on nonadditive entropies, is able to satisfactorily handle wide classes of anomalous emerging features and violations of standard equilibrium prescriptions, such as ergodicity, mixing,

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8

GORDON, GOREN, NOAM EREZ, and GERSHON KURIZKI. "ZENO HEATING AND ANTI-ZENO COOLING BY FREQUENT QUANTUM MEASUREMENTS." International Journal of Quantum Information 07, supp01 (2009): 49–62. http://dx.doi.org/10.1142/s021974990900475x.

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We study disturbances of thermal equilibrium between two-level systems (TLS) and a bath by frequent and brief quantum measurements of the TLS energy-states. If the measurements induce either the Zeno or the anti-Zeno regime, namely, the slowdown or speedup of the TLS relaxation, then the resulting entropy and temperature of both the system and the bath are found to be completely determined by the measurement rate, and unrelated to what is expected by standard thermodynamical rules that hold for markovian baths. These anomalies allow for very fast control heating, cooling and state-purification

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9

Abul-Magd, A. Y. "Superstatistics in Random Matrix Theory." Sultan Qaboos University Journal for Science [SQUJS] 17, no. 2 (2012): 157. http://dx.doi.org/10.24200/squjs.vol17iss2pp157-169.

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Random matrix theory (RMT) provides a successful model for quantum systems, whose classical counterpart has chaotic dynamics. It is based on two assumptions: (1) matrix-element independence, and (2) base invariance. The last decade witnessed several attempts to extend RMT to describe quantum systems with mixed regular-chaotic dynamics. Most of the proposed generalizations keep the first assumption and violate the second. Recently, several authors have presented other versions of the theory that keep base invariance at the expense of allowing correlations between matrix elements. This is achiev

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10

Luo, Yu-Chen, and Xiao-Peng Li. "Quantum simulation of interacting fermions." Acta Physica Sinica 71, no. 22 (2022): 226701. http://dx.doi.org/10.7498/aps.71.20221756.

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Fermions are basic building blocks in the standard model. Interactions among these elementary particles determine how they assemble and consequently form various states of matter in our nature. Simulating fermionic degrees of freedom is also a central problem in condensed matter physics and quantum chemistry, which is crucial to understanding high-temperature superconductivity, quantum magnetism and molecular structure and functionality. However, simulating interacting fermions by classical computing generically face the minus sign problem, encountering the exponential computation complexity.

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