Entropic Functionals in Quantum Statistical Mechanics [PDF]
, 2013 We describe quantum entropic functionals and outline a research program dealing with entropic fluctuations in non-equilibrium quantum statistical mechanics.
Vojkan Jakšić, Claude‐Alain Pillet
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Topological Quantum Statistical Mechanics and Topological Quantum Field Theories [PDF]
Symmetry, 2022 The Ising model describes a many-body interacting spin (or particle) system, which can be utilized to imitate the fundamental forces of nature. Although it is the simplest many-body interacting system of spins (or particles) with Z2 symmetry, the ...
Zhidong Zhang
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Statistical mechanics model for Clifford random tensor networks and monitored quantum circuits [PDF]
Physical review B, 2021 We introduce an exact mapping of Clifford (stabilizer) random tensor networks (RTNs) and monitored quantum circuits, onto a statistical mechanics model.
Yaodong Li +3 more
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Manual for Theoretical Chemistry, 2021 Professor Chen Ning Yang has made seminal and influential contributions in many different areas in theoretical physics. This talk focuses on his contributions in statistical mechanics, a field in which Professor Yang has held a continual interest for ...
Uwe-Jens Wiese, Albert Einstein
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Developments in the Tensor Network — from Statistical Mechanics to Quantum Entanglement [PDF]
Journal of the Physical Society of Japan, 2021 Tensor networks (TNs) have become one of the most essential building blocks for various fields of theoretical physics such as condensed matter theory, statistical mechanics, quantum information, and quantum gravity.
K. Okunishi, T. Nishino, H. Ueda
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Many-Body Localization and Thermalization in Quantum Statistical Mechanics [PDF]
, 2014 We review some recent developments in the statistical mechanics of isolated quantum systems. We provide a brief introduction to quantum thermalization, paying particular attention to the eigenstate thermalization hypothesis (ETH) and the resulting single-
R. Nandkishore, D. Huse
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Solving quantum statistical mechanics with variational autoregressive networks and quantum circuits [PDF]
Machine Learning: Science and Technology, 2019 We extend the ability of an unitary quantum circuit by interfacing it with a classical autoregressive neural network. The combined model parametrizes a variational density matrix as a classical mixture of quantum pure states, where the autoregressive ...
Jin-Guo Liu +3 more
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Statistical mechanics of quantum error correcting codes [PDF]
Physical review B, 2020 We study stabilizer quantum error-correcting codes (QECC) generated under hybrid dynamics of local Clifford unitaries and local Pauli measurements in one dimension.
Yaodong Li, M. Fisher
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Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems [PDF]
Reports on progress in physics. Physical Society, 2015 We review selected advances in the theoretical understanding of complex quantum many-body systems with regard to emergent notions of quantum statistical mechanics.
C. Gogolin, J. Eisert
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From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics [PDF]
, 2015 This review gives a pedagogical introduction to the eigenstate thermalization hypothesis (ETH), its basis, and its implications to statistical mechanics and thermodynamics. In the first part, ETH is introduced as a natural extension of ideas from quantum
L. D'Alessio +3 more
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