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The emergence of statistical mechanics from quantum dynamics is a central problem in quantum many-body physics. Deriving observables aligned with the prediction of the canonical ensemble for a quantum system relies on the presence of a bath…

Statistical Mechanics · Physics 2026-01-05 Nikolay V. Gnezdilov , Andrei I. Pavlov

Thermalization in open systems coupled to macroscopic environments is usually analyzed from the perspective of relaxation of the reduced state of the system to the equilibrium state. Less emphasis is given to the change of the state of the…

Statistical Mechanics · Physics 2022-07-19 Krzysztof Ptaszynski , Massimiliano Esposito

The possibility of observing many body localization of ultracold atoms in a one dimensional optical lattice is discussed for random interactions. In the non-interacting limit, such a system reduces to single-particle physics in the absence…

Quantum Gases · Physics 2017-02-15 Piotr Sierant , Dominique Delande , Jakub Zakrzewski

We show that a bounded, isolated quantum system of many particles in a specific initial state will approach thermal equilibrium if the energy eigenfunctions which are superposed to form that state obey {\it Berry's conjecture}. Berry's…

Condensed Matter · Physics 2009-10-22 Mark Srednicki

Using the functional-integral method, we investigate the effect of a two-level systems thermal reservoir on the single particle dynamics. We find that at low temperatures, within the sub-ohmic regime, the particle becomes {}``dynamically''…

Mesoscale and Nanoscale Physics · Physics 2007-07-17 A. Villares Ferrer , C. Morais Smith

We investigate the thermal entanglement of interacting two qubits. We maximize it by tuning a local Hamiltonian under a given interaction Hamiltonian. We prove that the optimizing local Hamiltonian takes a simple form which dose not depend…

Quantum Physics · Physics 2012-07-13 Tomotaka Kuwahara , Naomichi Hatano

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…

Statistical Mechanics · Physics 2019-07-29 Takashi Ishii , Takashi Mori

In the study of the thermalization of closed quantum systems, the role of kinetic constraints on the temporal dynamics and the eventual thermalization is attracting significant interest. Kinetic constraints typically lead to long-lived…

Disordered Systems and Neural Networks · Physics 2024-03-29 Karl Royen , Suman Mondal , Frank Pollmann , Fabian Heidrich-Meisner

We experimentally demonstrate how thermal properties in an non-equilibrium quantum many- body system emerge locally, spread in space and time, and finally lead to the globally relaxed state. In our experiment, we quench a one-dimensional…

Quantum Gases · Physics 2013-10-16 Tim Langen , Remi Geiger , Maximilian Kuhnert , Bernhard Rauer , Joerg Schmiedmayer

An important and incompletely answered question is whether a closed quantum system of many interacting particles can be localized by disorder. The time evolution of simple (unentangled) initial states is studied numerically for a system of…

Strongly Correlated Electrons · Physics 2012-07-11 Jens H. Bardarson , Frank Pollmann , Joel E. Moore

The study of thermalization and its breakdown in isolated systems has led to a deeper understanding of non-equilibrium quantum states and their dependence on initial conditions. The role of initial conditions is prominently highlighted by…

Strongly Correlated Electrons · Physics 2024-09-30 Ronald Melendrez , Bhaskar Mukherjee , Prakash Sharma , Arijeet Pal , Hitesh J. Changlani

When pushed out of equilibrium, generic interacting quantum systems equilibrate locally and are expected to evolve towards a locally thermal description despite their unitary time evolution. Systems in which disorder competes with…

Disordered Systems and Neural Networks · Physics 2019-05-29 Marcel Goihl , Jens Eisert , Christian Krumnow

We use exact diagonalization to explore the many-body localization transition in a random-field spin-1/2 chain. We examine the correlations within each many-body eigenstate, looking at all high-energy states and thus effectively working at…

Disordered Systems and Neural Networks · Physics 2015-05-20 Arijeet Pal , David A. Huse

The phenomenon of Hilbert space fragmentation, whereby dynamical constraints fragment Hilbert space into many disconnected sectors, provides a simple mechanism by which thermalization can be arrested. However, little is known about how…

Quantum Physics · Physics 2026-04-06 Yiqiu Han , Xiao Chen , Ethan Lake

According to the second law of thermodynamics the total entropy of a system is increased during almost any dynamical process. The positivity of the specific heat implies that the entropy increase is associated with heating. This is…

Statistical Mechanics · Physics 2015-06-11 Luca D'Alessio , Anatoli Polkovnikov

There exist zero-temperature states in quantum many-body systems that are fully factorized, thereby possessing vanishing entanglement, and hence being of no use as resource in quantum information processing tasks. Such states can become…

Quantum Physics · Physics 2018-06-11 Titas Chanda , Tamoghna Das , Debasis Sadhukhan , Amit Kumar Pal , Aditi Sen De , Ujjwal Sen

This work is concerned with thermal quantum states of Hamiltonians on spin and fermionic lattice systems with short range interactions. We provide results leading to a local definition of temperature, thereby extending the notion of…

Quantum Physics · Physics 2014-08-04 M. Kliesch , C. Gogolin , M. J. Kastoryano , A. Riera , J. Eisert

The project concerns the interplay among quantum mechanics, statistical mechanics and thermodynamics, in isolated quantum systems. The underlying goal is to improve our understanding of the concept of thermal equilibrium in quantum systems.…

Quantum Physics · Physics 2018-08-03 Fabio Anza

We study the statistical and dynamical aspects of a translation-invariant Hamiltonian, without quench disorder, as an example of the manifestation of the phenomenon of many-body localization. This is characterized by the breakdown of…

Strongly Correlated Electrons · Physics 2017-08-03 Rubem Mondaini , Zi Cai

Inspired by the avalanche scenario for many-body localization (MBL) instability, we reverse the conventional set-up and ask whether a large weakly-disordered chain can thermalize a smaller, strongly-disordered chain when the composite…

Statistical Mechanics · Physics 2026-01-21 Soumya Kanti Pal , C L Sriram , Shamik Gupta
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