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An ultracold gas of interacting fermionic atoms in a three-dimensional optical lattice is considered, where the lattice potential strength is periodically modulated. This non-equilibrium system is non-perturbatively described by means of a…

Quantum Physics · Physics 2016-03-07 Regine Frank

In the study of relaxation processes in coherent non-equilibrium dynamics of quenched quantum systems, ultracold atoms in optical superlattices with periodicity two provide a very fruitful test ground. In this work, we consider the dynamics…

Statistical Mechanics · Physics 2010-04-21 A. Flesch , M. Cramer , I. P. McCulloch , U. Schollwoeck , J. Eisert

Long-range interacting systems, while relaxing towards equilibrium, may get trapped in nonequilibrium quasistationary states (QSS) for a time which diverges algebraically with the system size. These intriguing non-Boltzmann states have been…

Statistical Mechanics · Physics 2013-12-03 Shamik Gupta , David Mukamel

In two recent articles a detailed study has been presented of the out of equilibrium dynamics of an infinite system of self-gravitating points initially located on a randomly perturbed lattice. In this article we extend the treatment of the…

Statistical Mechanics · Physics 2009-11-13 Thierry Baertschiger , Michael Joyce , Francesco Sylos Labini , Bruno Marcos

Cold atoms in dissipative optical lattices have long been known to exhibit anomalous kinetics due to an effective nonlinear friction force. Here we show that confining the spatial motion of the atoms will lead to an anomalous…

Statistical Mechanics · Physics 2015-10-28 Andreas Dechant , David A. Kessler , Eli Barkai

Local constraint in the lattice gauge theory provides an exotic mechanism that facilitates the disorder-free localization. However, the understanding of nonequilibrium dynamics in the non-Hermitian lattice gauge model remains limited. Here,…

Disordered Systems and Neural Networks · Physics 2024-02-22 Jun-Qing Cheng , Shuai Yin , Dao-Xin Yao

Sometimes the dynamics of a physical system is described by non-Hamiltonian equations of motion, and additionally, the system is characterized by long-range interactions. A concrete example is that of particles interacting with light as…

Statistical Mechanics · Physics 2022-11-15 Alessandro Campa , Shamik Gupta

It is widely accepted that local subsystems in isolated integrable quantum systems equilibrate to generalized Gibbs ensembles. Here, we demonstrate the failure of canonical generalized thermalization for a particular class of initial states…

Quantum Gases · Physics 2023-04-05 Guillaume Cecile , Jacopo De Nardis , Enej Ilievski

As is well-known in the context of topological insulators and superconductors, short-range-correlated fermionic pure Gaussian states with fundamental symmetries are systematically classified by the periodic table. We revisit this topic from…

Quantum Physics · Physics 2022-01-14 Zongping Gong , Tommaso Guaita

The aim of this work is to study the dynamics of quantum systems subjected to a localized fermionic source in the presence of bulk dephasing. We consider two classes of one-dimensional lattice systems: (i) a non-interacting lattice with…

Quantum Physics · Physics 2025-11-04 Tamoghna Ray , Katha Ganguly , Dario Poletti , Manas Kulkarni , Bijay Kumar Agarwalla

Statistical mechanics can predict thermal equilibrium states for most classical systems, but for an isolated quantum system there is no general understanding on how equilibrium states dynamically emerge from the microscopic Hamiltonian. For…

Quantum Physics · Physics 2016-08-03 B. Neyenhuis , J. Smith , A. C. Lee , J. Zhang , P. Richerme , P. W. Hess , Z. -X. Gong , A. V. Gorshkov , C. Monroe

In general, isolated integrable quantum systems have been found to relax to an apparent equilibrium state in which the expectation values of few-body observables are described by the generalized Gibbs ensemble. However, recent work has…

Quantum Gases · Physics 2013-07-03 Kai He , Lea F. Santos , Tod M. Wright , Marcos Rigol

A reasonable physical intuition in the study of interacting quantum systems says that, independent of the initial state, the system will tend to equilibrate. In this work we study a setting where relaxation to a steady state is exact,…

Statistical Mechanics · Physics 2009-11-13 M. Cramer , C. M. Dawson , J. Eisert , T. J. Osborne

We obtain the analytical expression for the Kraus decomposition of the quantum map of an environment modeled by an arbitrary quadratic fermionic Hamiltonian acting on one or two qubits, and derive simple functions to check the…

The quantum dynamics of interacting many-body systems has become a unique venue for the realization of novel states of matter. Here we unveil a new class of nonequilibrium states that are eigenstates of an emergent local Hamiltonian. The…

Statistical Mechanics · Physics 2017-04-27 L. Vidmar , D. Iyer , M. Rigol

We study the dynamics of a system of N classical spins with infinite-range interaction. We show that, when the thermodynamic limit is taken before the infinite-time limit, the system does not relax to the Boltzmann-Gibbs equilibrium, but…

Condensed Matter · Physics 2009-11-07 V. Latora , A. Rapisarda , C. Tsallis

While considering non-Hermitian Hamiltonians arising in the presence of dissipation, in most cases, the dissipation is taken to be frequency independent. However, this idealization may not always be applicable in experimental settings,…

Quantum Physics · Physics 2025-11-10 Sumit Kumar Jana , Ryo Hanai , Tan Van Vu , Hisao Hayakawa , Archak Purkayastha

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

A fundamental question in many-body physics is how closed quantum systems reach equilibrium. We address this question experimentally and theoretically in an ultracold large-spin Fermi gas where we find a complex interplay between internal…

We study the unitary dynamics and the thermalization properties of free-fermion-like Hamiltonians after a sudden quantum quench, extending the results of S. Ziraldo et al. [Phys. Rev. Lett. 109, 247205 (2012)]. With analytical and numerical…

Disordered Systems and Neural Networks · Physics 2013-02-22 Simone Ziraldo , Giuseppe E. Santoro