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Exactly solvable models provide an opportunity to study different aspects of reduced quantum dynamics in detail. We consider the reduced dynamics of a single spin in finite XX and XY spin 1/2 chains. First we introduce a general expression…

Quantum Physics · Physics 2015-03-17 Oleg Lychkovskiy

We develop a scheme for engineering genuine thermal states in analog quantum simulation platforms by coupling local degrees of freedom to driven, dissipative ancilla pseudospins. We demonstrate the scheme in a many-body quantum spin lattice…

Quantum Physics · Physics 2020-06-16 Mekena Metcalf , Jonathan E. Moussa , Wibe A. de Jong , Mohan Sarovar

In the last twenty years, Rydberg atoms have become a versatile and much studied system for implementing quantum many-body systems in the framework of quantum computation and quantum simulation. However, even in the absence of coherent…

Quantum Physics · Physics 2018-10-12 O. Morsch , I. Lesanovsky

Understanding how out-of-equilibrium states thermalize under quantum unitary dynamics is an important problem in many-body physics. In this work, we propose a statistical ansatz for the matrix elements of non-equilibrium initial states in…

Statistical Mechanics · Physics 2025-04-30 Laura Foini , Anatoly Dymarsky , Silvia Pappalardi

Dominating finite-range interactions in many-body systems can lead to intriguing self-ordered phases of matter. Well known examples are crystalline solids or Coulomb crystals in ion traps. In those systems, crystallization proceeds via a…

The long time accumulation of the \textit{random} actions of a single particle "reservoir" on its coupled system can transfer some temperature information of its initial state to the coupled system. This dynamic process can be referred to…

Quantum Physics · Physics 2013-05-29 Jie-Qiao Liao , H. Dong , C. P. Sun

Explaining quantum many-body dynamics is a long-held goal of physics. A rigorous operator algebraic theory of dynamics in locally interacting systems in any dimension is provided here in terms of time-dependent equilibrium (Gibbs)…

Statistical Mechanics · Physics 2023-08-08 Berislav Buča

The study of open quantum systems often relies on approximate master equations derived under the assumptions of weak coupling to the environment. However when the system is made of several interacting subsystems such a derivation is in many…

Quantum Physics · Physics 2018-11-20 G. De Chiara , G. Landi , A. Hewgill , B. Reid , A. Ferraro , A. J. Roncaglia , M. Antezza

"Deep thermalization" describes the emergence of universal wavefunction distributions in quantum many-body dynamics, appearing on a local subsystem upon measurement of its environment. In this work, we study in detail the effect of…

Quantum Physics · Physics 2025-06-11 Rui-An Chang , Harshank Shrotriya , Wen Wei Ho , Matteo Ippoliti

Using holographic duality, we investigate thermalization process when two finite-size quantum critical systems are brought into thermal contact along a perfectly transmitting interface. Through real-time simulations of gravitational…

High Energy Physics - Theory · Physics 2025-09-09 Li Li , Yan Liu , Hao-Tian Sun

We study the coherent quantum evolution of a closed and driven mesoscopic chain of two-level systems that interact via the van-der-Waals interaction in their excited state. The Hamiltonian consists of a part corresponding to a classical…

Statistical Mechanics · Physics 2010-09-10 Igor Lesanovsky , Beatriz Olmos , Juan P. Garrahan

Chain-mapping techniques in combination with the time-dependent density matrix renormalization group are a powerful tool for the simulation of open-system quantum dynamics. For finite-temperature environments, however, this approach suffers…

Quantum Physics · Physics 2019-09-02 Dario Tamascelli , Andrea Smirne , James Lim , Susana F. Huelga , Martin B. Plenio

To understand under which conditions thermodynamics emerges from the microscopic dynamics is the ultimate goal of statistical mechanics. Despite the fact that the theory is more than 100 years old, we are still discussing its foundations…

Quantum Physics · Physics 2017-03-14 Fabio Anza , Vlatko Vedral

When a system thermalizes it loses all local memory of its initial conditions. This is a general feature of open systems and is well described by equilibrium statistical mechanics. Even within a closed (or reversible) quantum system, where…

In the present note, we discuss a simple example of a macroscopic quantum many-body system in which the approach to thermal equilibrium from an arbitrary initial state in the microcanonical energy shell is proved without relying on any…

Statistical Mechanics · Physics 2024-04-09 Hal Tasaki

Thermal state preparation is a central challenge in the simulation of quantum many-body systems. Yet, provably efficient algorithms for this task were only introduced recently [Chen et al. Nature 646, 561 (2025)]. These algorithms are based…

Quantum Physics · Physics 2026-05-06 Christopher Ong , S. A. Parameswaran , Benedikt Placke , Dominik Hahn

Understanding the non-equilibrium dynamics of gauge theories remains a fundamental challenge in high-energy physics. Indeed, most large scale experiments on gauge theories intrinsically rely on very far-from equilibrium dynamics, from…

The problem of mutual equilibration between two finite, identical quantum systems, A and B, prepared initially at different temperatures is elucidated. We show that the process of energy exchange between the two systems leads to accurate…

Statistical Mechanics · Physics 2012-06-07 A. V. Ponomarev , S. Denisov , J. Gemmer , P. Hänggi

Over the last decade, systems of individually-controlled neutral atoms, interacting with each other when excited to Rydberg states, have emerged as a promising platform for quantum simulation of many-body problems, in particular spin…

Quantum Gases · Physics 2020-02-19 Antoine Browaeys , Thierry Lahaye

Statistical mechanics is founded on the assumption that all accessible configurations of a system are equally likely. This requires dynamics that explore all states over time, known as ergodic dynamics. In isolated quantum systems, however,…

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