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We study thermalization of weakly nonintegrable nonlinear unitary lattice dynamics. We identify two distinct thermalization regimes close to the integrable limits of either linear dynamics or disconnected lattice dynamics. For weak…

Chaotic Dynamics · Physics 2022-06-16 Merab Malishava , Sergej Flach

We consider what happens when a many body localized system is coupled to a heat bath. Unlike previous works, we do not restrict ourselves to the limit where the bath is large and effectively Markovian, nor to the limit where back action on…

Disordered Systems and Neural Networks · Physics 2017-04-21 Rahul Nandkishore , Sarang Gopalakrishnan

We investigate the rate of thermalization of local operators in the one-dimensional anisotropic antiferromagnetic Heisenberg model with next-nearest neighbor interactions that break integrability. This is done by calculating the scaling of…

Strongly Correlated Electrons · Physics 2015-06-11 N. P. Konstantinidis

We study the dissipative dynamics of correlated fermions evolving in presence of a local dephasing bath. To this extent we consider the infinite coordination limit of the corresponding Lindblad master equation, provided by Dynamical…

Strongly Correlated Electrons · Physics 2025-07-30 Antonio Picano , Matthieu Vanhoecke , Marco Schirò

Ability of dynamical systems to relax to equilibrium has been investigated since the invention of statistical mechanics, which establishes the connection between dynamics of many-body Hamiltonian systems and phenomenological thermodynamics.…

Statistical Mechanics · Physics 2019-07-01 K. S. Glavatskiy , V. L. Kulinskii

Using quantum gas microscopy we study the late-time effective hydrodynamics of an isolated cold-atom Fermi-Hubbard system subject to an external linear potential (a "tilt"). The tilt is along one of the principal directions of the…

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

We examine what happens when a strongly many body localized system is coupled to a weak heat bath, with both system and bath containing similar numbers of degrees of freedom. Previous investigations of localized systems coupled to baths…

Statistical Mechanics · Physics 2016-01-06 Rahul Nandkishore

We construct a model of short-range interacting Ising spins on a translationally invariant two-dimensional lattice that mimics a reversible circuit that multiplies or factorizes integers, depending on the choice of boundary conditions. We…

Statistical Mechanics · Physics 2019-10-09 Lei Zhang , Stefanos Kourtis , Claudio Chamon , Eduardo R. Mucciolo , Andrei E. Ruckenstein

Understanding the microscopic mechanisms of thermalization in closed quantum systems is among the key challenges in modern quantum many-body physics. We demonstrate a method to probe local thermalization in a large-scale many-body system by…

We use exact diagonalization to study the breakdown of many-body localization in a strongly disordered and interacting system coupled to a thermalizing environment. We show that the many-body level statistics cross over from Poisson to GOE,…

Disordered Systems and Neural Networks · Physics 2015-03-25 Sonika Johri , Rahul Nandkishore , R. N. Bhatt

We investigate the robustness of the many-body localized (MBL) phase to the quantum-avalanche instability by studying the dynamics of a localized spin chain coupled to a $T=\infty$ thermal bath through its leftmost site. By analyzing local…

We study the fluctuations of subsystem entropies in closed quantum many-body systems after thermalization. Using a combination of analytics and numerics for both random quantum circuits and Hamiltonian dynamics, we find that the statistics…

Quantum Physics · Physics 2022-02-17 Jordan Cotler , Nicholas Hunter-Jones , Daniel Ranard

The dissipative nature of heat transfer relaxes thermal flows to an equilibrium state that is devoid of temperature gradients. The distance to reach an equilibrium temperature -- the thermal entrance length -- is a consequence of diffusion…

Fluid Dynamics · Physics 2021-06-22 S. Beetham , A. Lattanzi , J. Capecelatro

We consider a gauge/gravity dual model of thermalization which consists of a collapsing thin matter shell in asymptotically Anti-de Sitter space. A central aspect of our model is to consider a shell moving at finite velocity as determined…

High Energy Physics - Theory · Physics 2015-06-05 Johanna Erdmenger , Shu Lin

We study the realization of dimensional reduction and the validity of the hard thermal loop expansion for lambda phi^4 theory at finite temperature, using an environmentally friendly finite-temperature renormalization group with a fiducial…

High Energy Physics - Theory · Physics 2009-11-10 C. R. Stephens , Axel Weber , Peter O. Hess , Francisco Astorga

The thermodynamics of the inhomogeneous one-dimensional repulsive fermionic Hubbard model with parabolic confinement is studied by a density-functional theory approach, based on Mermin's generalization to finite temperatures. A…

Strongly Correlated Electrons · Physics 2019-04-25 V. L. Campo

How a closed system thermalizes, especially in the absence of global conservation laws but in the presence of disorder and interactions, is one of the central questions in non-equilibrium statistical mechanics. We explore this for a…

Disordered Systems and Neural Networks · Physics 2025-02-25 Soumya Bera , Ishita Modak , Roderich Moessner

Using a non-perturbative classical model, we numerically investigate the dynamics of mobile particles interacting with an infinite chain of harmonic oscillators, an abstraction of ionic conduction through solid-state materials. We show that…

Mesoscale and Nanoscale Physics · Physics 2022-05-03 A. Rodin , B. A. Olsen , M. Choi , A. Tan

Thermal convection is observed in molecular dynamic simulation of a fluidized granular system of nearly elastic hard disks moving under gravity, inside a rectangular box. Boundaries introduce no shearing or time dependence, but the energy…

Statistical Mechanics · Physics 2009-10-31 Rosa Ramirez , Dino Risso , Patricio Cordero