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We investigate a class of periodically driven many-body systems that allows us to extend the phenomenon of prethermalization to the vicinity of isolated intermediate-to-low drive frequencies away from the high-frequency limit. We provide…

Statistical Mechanics · Physics 2021-05-05 Christoph Fleckenstein , Marin Bukov

There are problems with defining the thermodynamic limit of systems with long-range interactions; as a result, the thermodynamic behavior of these types of systems is anomalous. In the present work, we review some concepts from both…

Statistical Mechanics · Physics 2009-11-13 L. A. del Pino , P. Troncoso , S. Curilef

We study the dynamics of periodically-kicked many-body systems away from the high-frequency regime, and discuss a family of Floquet systems where the notion of prethermalization can be naturally extended to intermediate and low driving…

Statistical Mechanics · Physics 2021-05-05 Christoph Fleckenstein , Marin Bukov

We investigate the role of symmetries in determining the random matrix class describing quantum thermalization in a periodically driven many body quantum system. Using a combination of analytical arguments and numerical exact…

Statistical Mechanics · Physics 2016-03-18 N. Regnault , Rahul Nandkishore

"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

It is usually expected and observed that non-integrable isolated quantum systems thermalize. However, for some non-integrable spin chain models, in a numerical study, initial states with oscillations that persisted for some time were found…

Quantum Physics · Physics 2024-09-10 Luis Fernando dos Prazeres , Thiago R. de Oliveira

We analyze the dynamics of periodically-driven (Floquet) Hamiltonians with short- and long-range interactions, finding clear evidence for a thermalization time, $\tau^*$, that increases exponentially with the drive frequency. We observe…

Quantum Physics · Physics 2020-01-01 Francisco Machado , Gregory D. Meyer , Dominic V. Else , Chetan Nayak , Norman Y. Yao

We study eigenstate thermalization and related signatures of quantum chaos in the one-dimensional ferromagnetic transverse-field Ising model with power-law interactions. The presence of long-range interactions allows for a…

Statistical Mechanics · Physics 2017-06-13 Keith R. Fratus , Mark Srednicki

Thermalization is investigated for the one-dimensional anisotropic antiferromagnetic Heisenberg model with dimerized nearest-neighbor interactions that break integrability. For this purpose the time evolution of local operator expectation…

Strongly Correlated Electrons · Physics 2016-01-20 N. P. Konstantinidis

Periodically driven Floquet quantum systems provide a promising platform to investigate novel physics out of equilibrium. Unfortunately, the drive generically heats up the system to a featureless infinite temperature state. For large…

Quantum Physics · Physics 2021-03-02 Pai Peng , Chao Yin , Xiaoyang Huang , Chandrasekhar Ramanathan , Paola Cappellaro

Using a Krylov-subspace time evolution algorithm, we simulate the real-time dynamics of translation invariant non-integrable finite spin rings to quite long times with high accuracy. We systematically study the finite-size deviation between…

Quantum Physics · Physics 2025-05-26 Ivo A. Maceira , Andreas M. Läuchli

Periodically driven Floquet quantum many-body systems have revealed new insights into the rich interplay of thermalization, and growth of entanglement. The phenomenology of dynamical freezing, whereby a translationally invariant many-body…

Quantum Physics · Physics 2026-03-12 Rohit Mukherjee , Haoyu Guo , Debanjan Chowdhury

How quantum coherence influences thermodynamic behavior remains an open question in quantum thermodynamics. Here we investigate this relation within the pure dephasing framework, where a central qubit interacts with a finite Ising-like spin…

Quantum Physics · Physics 2026-03-31 Marino P. Lenzarini , Diogo O. Soares-Pinto

Nonequilibrium dynamics of an isolated quantum spin chain with long-range Ising interactions that decay as $1/r^\alpha$ ($0<\alpha<1$) with the distance $r$ is studied. It turns out that long-range interactions give rise to a big timescale…

Statistical Mechanics · Physics 2019-05-22 Takashi Mori

We prove that spin chains weakly coupled to a large heat bath thermalize rapidly at any temperature for finite-range, translation-invariant commuting Hamiltonians, reaching equilibrium in a time which scales logarithmically with the system…

Quantum Physics · Physics 2023-05-12 Ivan Bardet , Ángela Capel , Li Gao , Angelo Lucia , David Pérez-García , Cambyse Rouzé

We consider a system of two coupled oscillators one of which is driven parametrically and investigate both classical and quantum dynamics within Floquet description. Characteristic changes in the time evolution of the quantum fluctuations…

Quantum Physics · Physics 2020-08-27 Sayak Biswas , S. Sinha

It is proved that the energy absorption in a periodically driven classical spin system is exponentially slow in frequency, which results in a two-step relaxation called the Floquet prethermalization. This result is shown by establishing the…

Statistical Mechanics · Physics 2018-09-19 Takashi Mori

Non-equilibrium time evolution in isolated many-body quantum systems generally results in thermalization. However, the relaxation process can be very slow, and quasi-stationary non-thermal plateaux are often observed at intermediate times.…

Statistical Mechanics · Physics 2017-07-06 Vincenzo Alba , Maurizio Fagotti

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…

Quantum Physics · Physics 2026-04-13 Uttam Singh , Nicolas J. Cerf

We study the off-diagonal matrix elements of observables that break the translational symmetry of a spin-chain Hamiltonian, and as such connect energy eigenstates from different total quasimomentum sectors. We consider quantum-chaotic and…

Statistical Mechanics · Physics 2020-12-08 Tyler LeBlond , Marcos Rigol
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