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Much of the physical world around us can be described in terms of harmonic oscillators in thermodynamic equilibrium. At the same time, the far from equilibrium behavior of oscillators is important in many aspects of modern physics. Here, we…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 A. Leuch , L. Papariello , O. Zilberberg , C. L. Degen , R. Chitra , A. Eichler

A one-dimensional driven two-species model with parallel sublattice update and open boundaries is considered. Although the microscopic many-body dynamics is symmetric with respect to the two species and interactions are short-ranged, there…

Statistical Mechanics · Physics 2018-04-27 Richard D. Willmann , Gunter M. Schuetz , Stefan Grosskinsky

It is well known that ergodic theory can be used to formally prove a weak form of relaxation to equilibrium for finite, mixing, Hamiltonian systems. In this Letter we extend this proof to any dynamics that preserves a mixing equilibrium…

Statistical Mechanics · Physics 2018-12-18 Denis J. Evans , Stephen R. Williams , Lamberto Rondoni , Debra J. Searles

We study the phenomenon of weak ergodicity breaking for a class of globally correlated random walk dynamics defined over a finite set of states. The persistence in a given state or the transition to another one depends on the whole previous…

Statistical Mechanics · Physics 2016-12-28 Adrian A. Budini

This work supports the existence of extended nonergodic states in the intermediate region between the chaotic (thermal) and the many-body localized phases. These states are identified through an extensive analysis of static and dynamical…

Disordered Systems and Neural Networks · Physics 2017-02-09 E. J. Torres-Herrera , Lea F. Santos

Closed, interacting, quantum systems have the potential to transition to a many-body localized (MBL) phase under the presence of sufficiently strong disorder, hence breaking ergodicity and failing to thermalize. In this work we study the…

Disordered Systems and Neural Networks · Physics 2020-07-15 Benjamin Villalonga , Bryan K. Clark

We address a simple connection between results of Hamiltonian nonlinear dynamical theory and thermostatistics. Using a properly defined dynamical temperature in low-dimensional symplectic maps, we display and characterize long-standing…

Statistical Mechanics · Physics 2015-06-24 Fulvio Baldovin , Edgardo Brigatti , Constantino Tsallis

We study the Bohmian dynamics of a large class of bipartite systems of non-ideal qubit systems, by modifying the basic physical parameters of an ideal two-qubit system, made of coherent states of the quantum harmonic oscillator. First we…

Quantum Physics · Physics 2022-03-07 Athanasios C. Tzemos , George Contopoulos

A one dimensional classically chaotic spin chain with asymmetric coupling and two different inter-spin interactions, nearest neighbors and all-to-all, has been considered. Depending on the interaction range, dynamical properties, as…

Statistical Mechanics · Physics 2014-07-29 F. Borgonovi , G. L. Celardo , M. Maianti , E. Pedersoli

The beam-plasma instability, i.e. the response of the plasma bulk to the injection of supra thermal charged-particle beams, results to be appropriately characterized by a long-range interaction system. This physical system hosts a number of…

The interplay of fluctuations, ergodicity, and disorder in many-body interacting systems has been striking attention for half a century, pivoted on two celebrated phenomena: Anderson localization predicted in disordered media, and…

Statistical Mechanics · Physics 2021-09-16 Yagmur Kati

Nonlinear symmetry breaking may occur in systems with two or more states whose linear dynamics displays certain symmetries, one of which is preferred nonlinearly. We have identified a regime of electron temperature gradient (ETG)…

Vacuum magnetic birefringence is one of the most interesting non-linear phenomena in quantum electrodynamics because it is a pure photon-photon result of the theory and it directly signalizes the violation of the classical superposition…

High Energy Physics - Phenomenology · Physics 2018-05-16 Ariel Arza , Ricardo Gabriel Elias

We study the ergodic properties of excited states in a model of interacting fermions in quasi-one-dimensional chains subjected to a random vector potential. In the noninteracting limit, we show that arbitrarily small values of this complex…

Quantum Gases · Physics 2016-11-23 Chen Cheng , Rubem Mondaini

Ergodic many-body systems are expected to reach quasi-thermal equilibrium. Here we demonstrate that, surprisingly, high-energy electrons, which are injected into a quantum Hall edge mode with finite range interactions, stabilize at a…

Mesoscale and Nanoscale Physics · Physics 2022-02-24 Stefan G. Fischer , Yigal Meir , Yuval Gefen , Bernd Rosenow

We propose a theory that describes quantitatively the (in)stability of fully MBL systems due to ergodic, i.e. delocalized, grains, that can be for example due to disorder fluctuations. The theory is based on the ETH hypothesis and…

Disordered Systems and Neural Networks · Physics 2017-04-26 Wojciech De Roeck , François Huveneers

The gravitation interaction between particles is taken into account in central configuration model. After that, the resonance perturbation of the particle of the central configuration by distant satellite is considered in the restricted…

Dynamical Systems · Mathematics 2007-05-23 A. E. Rosaev

We identify the chaotic phase of the Bose-Hubbard Hamiltonian by the energy-resolved correlation between spectral features and structural changes of the associated eigenstates as exposed by their generalized fractal dimensions. The…

Quantum Gases · Physics 2025-01-24 Lukas Pausch , Edoardo G. Carnio , Alberto Rodríguez , Andreas Buchleitner

The physics of long-range interacting quantum systems is currently living through a renaissance driven by the fast progress in quantum simulators. In these systems many paradigms of statistical physics do not apply and also the universal…

When classical systems fail to explore their entire configurational space, intriguing macroscopic phenomena like aging and glass formation may emerge. Also closed quanto-mechanical systems may stop wandering freely around the whole Hilbert…

Statistical Mechanics · Physics 2012-02-07 Giuseppe Carleo , Federico Becca , Marco Schiró , Michele Fabrizio
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