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Modern quantum experiments provide examples of transport with non-commuting quantities, offering a tool to understand the interplay between thermal and quantum effects. Here we set forth a theory for non-Abelian transport in the linear…

量子物理 · 物理学 2022-01-10 Gonzalo Manzano , Juan M. R. Parrondo , Gabriel T. Landi

We consider the set of all initial states within a microcanonical energy shell of an isolated many-body quantum system, which exhibit the same, arbitrary but fixed non-equilibrium expectation value for some given observable $A$. On…

统计力学 · 物理学 2018-07-04 Peter Reimann

Thermalization of isolated quantum systems is a long-standing fundamental problem where different mechanisms are proposed over time. We contribute to this discussion by classifying the diverse quench dynamical behaviours of spin-1…

量子物理 · 物理学 2018-02-07 Ceren B. Dağ , Sheng-Tao Wang , L. -M. Duan

Eigenstate thermalization hypothesis (ETH) represents a breakthrough in many-body physics since it allows to link thermalization of physical observables with the applicability of random matrix theory (RMT). Recent years were also extremely…

统计力学 · 物理学 2024-08-06 Maksymilian Kliczkowski , Rafał Świętek , Miroslav Hopjan , Lev Vidmar

The validity of the ergodic hypothesis in quantum systems can be rephrased in the form of the eigenstate thermalisation hypothesis (ETH), a set of statistical properties for the matrix elements of local observables in energy eigenstates,…

统计力学 · 物理学 2024-10-16 Miha Srdinšek , Tomaž Prosen , Spyros Sotiriadis

We study the dynamics and thermalization of the Fredkin spin chain, a system with local three-body interactions, particle conservation and explicit kinetic constraints. We consider deformations away from its stochastic point in order to…

统计力学 · 物理学 2024-11-05 Luke Causer , Mari Carmen Bañuls , Juan P. Garrahan

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…

统计力学 · 物理学 2015-04-07 Rahul Nandkishore , David A. Huse

Bohr's compound nucleus theory is one of the most important models in nuclear physics, with far-reaching applications in nuclear science and technology. This model generally assumes that the participating nucleons attain a thermal…

核理论 · 物理学 2024-09-25 Dong Bai , Zhongzhou Ren

The assumption that quantum systems relax to a stationary state in the long-time limit underpins statistical physics and much of our intuitive understanding of scientific phenomena. For isolated systems this follows from the eigenstate…

量子物理 · 物理学 2019-04-16 Berislav Buca , Joseph Tindall , Dieter Jaksch

Concepts like `typicality' and the `eigenstate thermalization hypothesis' aim at explaining the apparent equilibration of quantum systems, possibly after a very long time. However, these concepts are not concerned with the specific way in…

量子物理 · 物理学 2018-12-12 Lars Knipschild , Jochen Gemmer

We consider a realistic nonequilibrium protocol, where a quantum system in thermal equilibrium is suddenly subjected to an external force. Due to this force, the system is driven out of equilibrium and the expectation values of certain…

统计力学 · 物理学 2019-09-17 Jonas Richter , Mats H. Lamann , Christian Bartsch , Robin Steinigeweg , Jochen Gemmer

Integrable systems do not obey the strong eigenstate thermalization hypothesis (ETH), which has been proposed as a mechanism of thermalization in isolated quantum systems. It has been suggested that an integrable system reaches a steady…

统计力学 · 物理学 2019-07-29 Takashi Ishii , Takashi Mori

Generic rotationally invariant random matrix models satisfy a simple relation: the probability distribution of off-diagonal elements and the one of half the difference between any two diagonal elements coincide. In the spirit of the…

统计力学 · 物理学 2020-01-15 Laura Foini , Jorge Kurchan

We investigate many body localization in the presence of a single particle mobility edge. By considering an interacting deterministic model with an incommensurate potential in one dimension we find that the single particle mobility edge in…

强关联电子 · 物理学 2015-10-29 Xiaopeng Li , Sriram Ganeshan , J. H. Pixley , S. Das Sarma

We derive detailed and intergral fluctuation relations as well as a Thermodynamic Uncertainty Relation constraining the exchange statistics of an arbitrary number of non-commuting conserved quantities among two quantum systems in transport…

量子物理 · 物理学 2026-04-23 Matteo Scandi , Gonzalo Manzano

We derive the Eigenstate Thermalization Hypothesis (ETH) from a random matrix Hamiltonian by extending the model introduced by J. M. Deutsch [Phys. Rev. A 43, 2046 (1991)]. We approximate the coupling between a subsystem and a many-body…

统计力学 · 物理学 2018-09-26 Charlie Nation , Diego Porras

Quantum error correction, thermalization, and quantum chaos are fundamental aspects of quantum many-body physics that have each developed largely independently, despite their deep conceptual overlap. In this work, we establish a precise…

量子物理 · 物理学 2025-10-31 Shozab Qasim , Jason Pollack

The theory relevant to the study of matter in equilibrium with the radiation field is thermal quantum electrodynamics (TQED). We present a formulation of the theory, suitable for non relativistic fluids, based on a joint functional integral…

量子物理 · 物理学 2009-11-13 Pascal R. Buenzli , Philippe A. Martin , Marc D. Ryser

Thermal behavior in subsystems of closed quantum systems is commonly attributed to dynamical chaos, quantum ergodicity, canonical typicality, or the eigenstate thermalization hypothesis, suggesting a fundamentally statistical origin of…

量子物理 · 物理学 2026-04-13 Uttam Singh , Nicolas J. Cerf

We investigate the extent to which the eigenstate thermalization hypothesis~(ETH) is valid or violated in the non-integrable and the integrable spin-$1/2$ XXZ chain. We perform the energy-resolved analysis of the statistical properties of…

统计力学 · 物理学 2021-02-03 Jae Dong Noh