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We study the dynamics induced by quenching an ultracold quantum many-body system between two supersymmetric Hamiltonians. Such a quench can be created by carefully changing the external trapping potential and leads to a situation where the…

Quantum Physics · Physics 2022-07-22 Christopher Campbell , Thomás Fogarty , Thomas Busch

Many-body systems undergoing quantum phase transitions reveal substantial growth of non-classical correlations between different parties of the system. This behavior is manifested by characteristic divergences of the von Neumann entropy.…

Quantum Gases · Physics 2020-02-12 Damian Włodzyński , Daniel Pęcak , Tomasz Sowiński

In this work, the interplay between non-Hermiticity, quasi-disorder, and repulsive interaction is studied for hard-core bosons confined in a one-dimensional optical lattice, where non-Hermiticity is induced by the non-reciprocal hoppings…

Disordered Systems and Neural Networks · Physics 2024-04-29 Shujie Cheng , Xixi Feng , Wen Chen , Niaz Ali Khan , Gao Xianlong

Extending notions of phase transitions to nonequilibrium realm is a fundamental problem for statistical mechanics. While it was discovered that critical transitions occur even for transient states before relaxation as the singularity of a…

Statistical Mechanics · Physics 2021-09-02 Ryusuke Hamazaki

Nonlinear normal modes are periodic orbits that survive in nonlinear chains, whose instability plays a crucial role in the dynamics of many-body Hamiltonian systems toward thermalization. Here we focus on how the stability of nonlinear…

Chaotic Dynamics · Physics 2022-08-02 Liangtao Peng , Weicheng Fu , Yong Zhang , Hong Zhao

We analyse the breathing-mode oscillations of a harmonically quenched Tonks-Giradeau (TG) gas using an exact finite-temperature dynamical theory. We predict a striking collective manifestation of impenetrability---a collective many-body…

Quantum Gases · Physics 2017-11-01 Y. Y. Atas , I. Bouchoule , D. M. Gangardt , K. V. Kheruntsyan

We investigate the statics and dynamics of spatial phase segregation process of a mixture of fermion atoms in a harmonic trap using the density functional theory. The kinetic energy of the fermion gas is written in terms of the density and…

Atomic and Molecular Clusters · Physics 2009-11-07 K. Esfarjani , S. T. Chui , V. Kumar , Y. Kawazoe

Motivated by recent experiments in ultracold atomic gases that explore the nonequilibrium dynamics of interacting quantum many-body systems, we investigate the nonequilibrium properties of a Fermi liquid. We apply an interaction quench…

Strongly Correlated Electrons · Physics 2015-05-13 Michael Moeckel , Stefan Kehrein

We study the dynamics of weakly deformed interfaces separating two stable phases, starting from the fluctuating hydrodynamics of the phase-separating fields. Using a well-chosen definition for the interface and the dynamical-action…

Statistical Mechanics · Physics 2026-05-19 Lila Sarfati , Julien Tailleur , Frédéric van Wijland

We explore the multifractality of the steady state wave function in non-unitary random quantum dynamics in one dimension. We focus on two classes of random systems: the hybrid Clifford circuit model and the non-unitary free fermion…

Strongly Correlated Electrons · Physics 2022-01-05 Jason Iaconis , Xiao Chen

Nonequilibrium dynamics of an N-fold spin-degenerate ultracold Fermi gas is described in terms of beyond-mean-field Kadanoff-Baym equations for correlation functions. Using a nonperturbative expansion in powers of 1/N, the equations are…

Quantum Gases · Physics 2011-03-01 Matthias Kronenwett , Thomas Gasenzer

States of thermal equilibrium of an infinite system of interacting particles in a Euclidean space are studied. The particles bear 'unbounded' spins with a given symmetric a priori distribution. The interaction between the particles is…

Mathematical Physics · Physics 2015-05-12 Alexei Daletskii , Yuri Kondratiev , Yuri Kozitsky

We show that the standard Fermi--Pasta--Ulam system, with a suitable choice for the interparticle potential, constitutes a model for glasses, and indeed an extremely simple and manageable one. Indeed, it allows one to describe the landscape…

Statistical Mechanics · Physics 2015-07-22 Andrea Carati , Alberto Maiocchi , Luigi Galgani , Graziano Amati

The Loschmidt echo - the probability of a quantum many-body system to return to its initial state following a dynamical evolution - generally contains key information about a quantum system, relevant across various scientific fields…

We study the real-time dynamics of a translationally invariant quantum spin chain, based on the East kinetically constrained glass model, in search for evidence of many-body localisation in the absence of disorder. Numerical simulations…

Statistical Mechanics · Physics 2015-10-07 Merlijn van Horssen , Emanuele Levi , Juan P. Garrahan

We study the quantum mechanical many-body problem of $N$ nonrelativistic electrons interacting with their self-generated classical electromagnetic field and $K$ static nuclei. The system of coupled equations governing the dynamics of the…

Mathematical Physics · Physics 2020-06-05 Thomas Forrest Kieffer

We formulate a dynamical real space renormalization group approach to describe the time evolution of a random spin-1/2 chain, or interacting fermions, initialized in a state with fixed particle positions. Within this approach we identify a…

Disordered Systems and Neural Networks · Physics 2014-11-04 Ronen Vosk , Ehud Altman

Advancing our understanding of non-equilibrium phenomena in quantum many-body systems remains among the greatest challenges in physics. Here, we report on the experimental observation of a paradigmatic many-body problem, namely the…

We propose a definition of equilibrium and non-equilibrium states in dynamical systems on the basis of the time average. We show numerically that there exists a non-equilibrium non-stationary state in the coupled modified Bernoulli map…

Chaotic Dynamics · Physics 2009-11-13 Takuma Akimoto

We study the relaxation dynamics of strongly interacting quantum systems that display a kind of many-body localization in spite of their translation-invariant Hamiltonian. We show that dynamics starting from a random initial configuration…

Disordered Systems and Neural Networks · Physics 2015-05-08 Mauro Schiulaz , Alessandro Silva , Markus Müller