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We propose a novel component to the understanding of the temperature structure of galaxy clusters which does not rely on any heating or cooling mechanism. The new ingredient is the use of non-extensive thermo-statistics which is based on…

天体物理学 · 物理学 2007-05-23 Steen H. Hansen

The clustering property of an equilibrium bipartite correlation is one of the most general thermodynamic properties in non-critical many-body quantum systems. Herein, we consider the thermalization properties of a system class exhibiting…

统计力学 · 物理学 2020-05-27 Tomotaka Kuwahara , Keiji Saito

Understanding how closed quantum systems dynamically approach thermal equilibrium presents a major unresolved problem in statistical physics. Generically, non-integrable quantum systems are expected to thermalize as they comply with the…

The eigenstate thermalization hypothesis (ETH) insists that for nonintegrable systems each energy eigenstate accurately gives microcanonical expectation values for a class of observables. As a mechanism for ETH to hold, we show that the…

统计力学 · 物理学 2018-05-15 Takaaki Monnai

The eigenstate thermalization hypothesis (ETH) explains how generic quantum many-body systems thermalize internally. It implies that local operators' time-averaged expectation values approximately equal their thermal expectation values,…

量子物理 · 物理学 2024-12-12 Aleksander Lasek , Jae Dong Noh , Jade LeSchack , Nicole Yunger Halpern

Under unitary time evolution, expectation values of physically reasonable observables often evolve towards the predictions of equilibrium statistical mechanics. The eigenstate thermalization hypothesis (ETH) states that this is also true…

统计力学 · 物理学 2018-04-19 Fabio Anza , Christian Gogolin , Marcus Huber

The thermal equilibrium properties of physical systems can be described using Gibbs states. It is therefore of great interest to know when such states allow for an easy description. In particular, this is the case if correlations between…

量子物理 · 物理学 2022-03-01 Andreas Bluhm , Ángela Capel , Antonio Pérez-Hernández

Fast scramblers are quantum systems which thermalize in a time scale logarithmic in the number of degrees of freedom of the system. Non-locality has been argued to be an essential feature of fast scramblers. We provide evidence in support…

高能物理 - 理论 · 物理学 2012-07-12 Mohammad Edalati , Willy Fischler , Juan F. Pedraza , Walter Tangarife Garcia

The features of the fundamental thermodynamical relation (expressing entropy as function of state variables) that arise from the self-gravitating character of a system are analyzed. The models studied include not only a spherically…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Erik A. Martinez

We study numerically the thermalisation and temporal evolution of the reduced density matrix for a two-site subsystem of a fermionic Hubbard model prepared far from equilibrium at a definite energy. Even for very small systems near quantum…

量子物理 · 物理学 2011-01-24 S. Genway , A. F. Ho , D. K. K. Lee

While recent advances have established efficient quantum algorithms for preparing Gibbs states of finite-dimensional systems, comparable complexity results for bosonic and other infinite-dimensional models remain unexplored. We introduce…

量子物理 · 物理学 2026-04-08 Simon Becker , Cambyse Rouzé , Robert Salzmann

The dynamical convergence of a system to the thermal distribution, or Gibbs state, is a standard assumption across all of the physical sciences. The Gibbs state is determined just by temperature and the system's energies alone. But at…

量子物理 · 物理学 2022-06-27 A. S. Trushechkin , M. Merkli , J. D. Cresser , J. Anders

Preparing quantum thermal states on a quantum computer is in general a difficult task. We provide a procedure to prepare a thermal state on a quantum computer with a logarithmic depth circuit of local quantum channels assuming that the…

量子物理 · 物理学 2019-02-13 Fernando G. S. L. Brandao , Michael J. Kastoryano

We study thermalization of transverse field Ising chain with power law decaying interaction $\sim 1/r^{\alpha}$ following a global quantum quench of the transverse field to two different dynamical regimes. We quantify the thermalization…

统计力学 · 物理学 2025-01-13 Nishan Ranabhat , Mario Collura

The last decade has witnessed the remarkable progress in our understanding of thermalization in isolated quantum systems. Combining the eigenstate thermalization hypothesis with quantum measurement theory, we extend the framework of quantum…

统计力学 · 物理学 2018-10-31 Yuto Ashida , Keiji Saito , Masahito Ueda

Quantum phases at zero temperature can be characterized as equivalence classes under local unitary transformations: two ground states within a gapped phase can be transformed into each other via a local unitary circuit. We generalize this…

量子物理 · 物理学 2025-12-25 Ruochen Ma , Vedika Khemani , Shengqi Sang

Does a closed quantum many-body system that is continually driven with a time-dependent Hamiltonian finally reach a steady state? This question has only recently been answered for driving protocols that are periodic in time, where the long…

强关联电子 · 物理学 2017-08-24 Sourav Nandy , Arnab Sen , Diptiman Sen

We consider superconductivity in the light of the quantum gravity theoretical framework introduced in [1]. In this framework, the degree of quantum delocalization depends on the geometry of the energy distribution along space. This results…

综合物理 · 物理学 2010-07-22 Andrea Gregori

The connection between the non-equilibrium dynamics of isolated quantum many-body systems and statistical mechanics is a fundamental open question. It is generally believed that the unitary quantum evolution of a sufficiently complex system…

Systems in thermal equilibrium at non-zero temperature are described by their Gibbs state. For classical many-body systems, the Metropolis-Hastings algorithm gives a Markov process with a local update rule that samples from the Gibbs…

量子物理 · 物理学 2023-09-20 Daniel Zhang , Jan Lukas Bosse , Toby Cubitt