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The investigation of ergodicity or lack thereof in isolated quantum many-body systems has conventionally focused on the description of the reduced density matrices of local subsystems in the contexts of thermalization, integrability, and…

Statistical Mechanics · Physics 2025-06-02 Sandipan Manna , Sthitadhi Roy , G. J. Sreejith

Long-range quantum systems, in which the interactions decay as $1/r^{\alpha}$, are of increasing interest due to the variety of experimental set-ups in which they naturally appear. Motivated by this, we study fundamental properties of…

Quantum Physics · Physics 2026-01-08 Jorge Sánchez-Segovia , Jan T. Schneider , Álvaro M. Alhambra

We show how statistical thermodynamics can be formulated in situations in which thermodynamics applies, while equilibrium statistical mechanics does not. A typical case is, in the words of Landau and Lifshitz, that of partial (or…

Statistical Mechanics · Physics 2013-04-16 A. Carati , A. Maiocchi , L. Galgani

Dirac-Frenkel variational method with Davydov D2 trial wavefunction is extended by introducing a thermalization algorithm and applied to simulate dynamics of a general open quantum system. The algorithm allows to control temperature…

Quantum Physics · Physics 2021-03-04 Mantas Jakučionis , Darius Abramavičius

The local equilibration time of quantum many-body systems has been conjectured to satisfy a `Planckian bound', $\tau_{\rm eq}\gtrsim \frac{\hbar}{T}$. We provide a sharp and universal definition of this time scale, and show that it is…

Strongly Correlated Electrons · Physics 2025-03-04 Luca V. Delacretaz

We analyze the symmetries in an open quantum system composed by three coupled and detuned harmonic oscillators in the presence of a common heat bath. It is shown analytically how to engineer the couplings and frequencies of the system so as…

Quantum Physics · Physics 2015-05-19 Gonzalo Manzano , Fernando Galve , Roberta Zambrini

We present a novel analytical approach for the calculation of the mean density of states in many-body systems made of confined indistinguishable and non-interacting particles. Our method makes explicit the intrinsic geometry inherent in the…

Quantum Physics · Physics 2013-12-18 Quirin Hummel , Juan Diego Urbina , Klaus Richter

We study a mechanism whereby quantum information present in the initial state of a quantum many-body system can be protected for arbitrary times due to a combination of symmetry and spatial locality. Remarkably, the mechanism is…

Quantum Physics · Physics 2022-06-16 Julia Wildeboer , Thomas Iadecola , Dominic J. Williamson

Recently, it was understood that modified concepts of locality played an important role in the study of extended quantum systems out of equilibrium, in particular in so-called generalized Gibbs ensembles. In this paper, we rigorously study…

Mathematical Physics · Physics 2018-10-23 Benjamin Doyon

We identify several phases of thermalization that describe regimes of behavior in isolated, periodically driven (Floquet), mesoscopic quantum chaotic systems. We also identify a new Floquet thermal ensemble -- the ladder ensemble -- that is…

Statistical Mechanics · Physics 2023-11-21 Alan Morningstar , David A. Huse , Vedika Khemani

We introduce a method "DMT" for approximating density operators of 1D systems that, when combined with a standard framework for time evolution (TEBD), makes possible simulation of the dynamics of strongly thermalizing systems to arbitrary…

Strongly Correlated Electrons · Physics 2018-01-24 Christopher David White , Michael Zaletel , Roger S. K. Mong , Gil Refael

The occupation number is a key observable for diagnosing thermalization, as it connects directly to standard statistical laws such as Fermi--Dirac, Bose--Einstein, and Boltzmann distributions. In the context of spin systems, it represents…

Statistical Mechanics · Physics 2026-01-07 Isaías Vallejo-Fabila , Fausto Borgonovi , Felix M. Izrailev , Lea F. Santos

In this letter, a multi-wave quasi-resonance framework is established to analyze energy diffusion in classical lattices, uncovering that it is fundamentally determined by the characteristics of eigenmodes. Namely, based on the presence and…

Statistical Mechanics · Physics 2025-02-18 Wei Lin , Weicheng Fu , Zhen Wang , Yong Zhang , Hong Zhao

We perform a systematic study of the thermodynamics of quantum gases in the unitarity limit. Our study makes use of a "Universality Hypothesis" for the relevant energy scales of a many-body system at unitarity. This Hypothesis is supported…

Condensed Matter · Physics 2011-07-19 Tin-Lun Ho

Dissipation is unavoidable in quantum systems. It usually induces decoherences and changes quantum correlations. To access the information of strongly correlated quantum matters, one has to overcome or suppress dissipation to extract out…

Quantum Gases · Physics 2025-12-29 Yajuan Zhao , Ye Tian , Jilai Ye , Yue Wu , Zihan Zhao , Zhihao Chi , Tian Tian , Hepeng Yao , Jiazhong Hu , Yu Chen , Wenlan Chen

We study the dynamics and thermalization of strongly correlated fermions in finite one-dimensional lattices after a quantum quench. Our calculations are performed using exact diagonalization. We focus on one- and two-body observables such…

Statistical Mechanics · Physics 2013-02-08 Marcos Rigol

The influence of continuous measurements of energy with a finite accuracy is studied in various quantum systems through a restriction of the Feynman path-integrals around the measurement result. The method, which is equivalent to consider…

Condensed Matter · Physics 2009-10-22 Ubaldo Tambini , Roberto Onofrio , Carlo Presilla

We investigate, how finite temperature influences quantum coherence in multipartite open systems by analyzing a tripartite spin boson model subjected to non-Markovian dephasing. Two distinct environmental configurations are considered viz.…

Quantum Physics · Physics 2026-03-12 Pranav Perumalsamy , Abhijit Mandal , Sovik Roy , Md Manirul Ali

We analytically describe the decay to equilibrium of generic observables of a non-integrable system after a perturbation in the form of a random matrix. We further obtain an analytic form for the time-averaged fluctuations of an observable…

Quantum Physics · Physics 2019-06-05 Charlie Nation , Diego Porras

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
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