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We calculate the spin-drag relaxation rate for a two-component ultracold atomic Fermi gas with positive scattering length between the two spin components. In one dimension we find that it vanishes linearly with temperature. In three…

Quantum Gases · Physics 2011-05-05 R. A. Duine , Marco Polini , Arnaud Raoux , H. T. C. Stoof , G. Vignale

We theoretically study the relaxation of high energy single particle excitations into molecules in a system of attractive fermions in an optical lattice, both in the superfluid and the normal phase. In a system characterized by an…

Quantum Gases · Physics 2013-05-29 Rajdeep Sensarma , David Pekker , Ana Maria Rey , Mikhail Lukin , Eugene Demler

The entanglement between spin-1/2 interstitial Heisenberg dimers in the mixed spin-(1,1/2) Ising-XXZ double sawtooth ladder is investigated at low temperature. Here, we consider a cyclic four-spin exchange interaction in square plaquette of…

Statistical Mechanics · Physics 2018-05-09 Hamid Arian Zad , Nerses Ananikian

When two solids at different temperatures are separated by a vacuum gap they relax toward their equilibrium state by exchanging heat either by radiation, phonon or electron tunneling, depending on their separation distance and on the nature…

Mesoscale and Nanoscale Physics · Physics 2021-10-04 Marta Reina , Riccardo Messina , Philippe Ben-Abdallah

For a transverse-field Ising chain with weak long-range interactions we develop a perturbative scheme, based on quantum kinetic equations, around the integrable nearest-neighbour model. We introduce, discuss, and benchmark several…

Quantum Physics · Physics 2019-03-14 Clément Duval , Michael Kastner

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

A kinetic one-dimensional Ising model on a ring evolves according to a generalization of Glauber rates, such that spins at even (odd) lattice sites experience a temperature $T_{e}$ ($T_{o}$). Detailed balance is violated so that the spin…

Statistical Mechanics · Physics 2009-11-07 B. Schmittmann , F. Schmueser

It is typically assumed that disorder is essential to realize Anderson localization. Recently, a number of proposals have suggested that an interacting, translation invariant system can also exhibit localization. We examine these claims in…

Disordered Systems and Neural Networks · Physics 2016-12-14 N. Y. Yao , C. R. Laumann , J. I. Cirac , M. D. Lukin , J. E. Moore

Using the transfer-matrix DMRG method, we study the nuclear spin relaxation rate 1/T_1 in the two-leg s=1/2 ladder as function of the inter-chain (J_{\perp}) and intra-chain (J_{|}) couplings. In particular, we separate the q_y=0 and \pi…

Strongly Correlated Electrons · Physics 2009-10-31 F. Naef , Xiaoqun Wang

Accuracy of the Kramers approximate formula for the thermal decay rate of the metastable state is studied for the two-dimensional potential pocket. This is done by the comparison with the quasistationary rate resulting from the dynamical…

Nuclear Theory · Physics 2017-07-20 Igor Gontchar , Maria Chushnyakova

The relaxation to equilibrium of lattice systems with long-range interactions is investigated. The timescales involved depend polynomially on the system size, potentially leading to diverging equilibration times. A kinetic equation for…

Statistical Mechanics · Physics 2019-10-23 T. M. Rocha Filho , R. Bachelard

We briefly review some equilibrium and nonequilibrium properties of systems with long-range interactions. Such systems, which are characterized by a potential that weakly decays at large distances, have striking properties at equilibrium,…

Statistical Mechanics · Physics 2009-11-13 Stefano Ruffo

Time-periodic driving provides a promising route to engineer non-trivial states in quantum many-body systems. However, while it has been shown that the dynamics of integrable systems can synchronize with the driving into a non-trivial…

Strongly Correlated Electrons · Physics 2016-01-22 Elena Canovi , Marcus Kollar , Martin Eckstein

We study the thermalization of a small $XX$ chain coupled to long, gapped $XXZ$ leads at either side by observing the relaxation dynamics of the whole system. Using extensive tensor network simulations, we show that such systems, although…

Statistical Mechanics · Physics 2023-03-09 Marko Ljubotina , Dibyendu Roy , Tomaž Prosen

We study a model of spinless fermions with infinite nearest-neighbor repulsion on the square ladder which has microscopic supersymmetry. It has been conjectured that in the continuum the model is described by the superconformal minimal…

Strongly Correlated Electrons · Physics 2013-05-06 Bela Bauer , Liza Huijse , Erez Berg , Matthias Troyer , Kareljan Schoutens

On the basis of periodic boundary conditions we study perturbatively a large N asymptotics (N is the number of rungs) for the ground state energy density and gas parameter of a spin ladder with slightly destroyed rung-dimerization. Exactly…

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

We develop a numerical algorithm for identifying approximately conserved quantities in models perturbed away from integrability. In the long-time regime, these quantities fully determine correlation functions of local observables. Applying…

Strongly Correlated Electrons · Physics 2015-08-27 Marcin Mierzejewski , Tomaz Prosen , Peter Prelovsek

We introduce a lattice spin model that mimics a system of interacting particle through a short range repulsive potential and a long range attractive power law decaying potential. We performed a detailed analysis of the general equilibrium…

Disordered Systems and Neural Networks · Physics 2009-08-31 Omar Osenda , Francisco A. Tamarit , Sergio A. Cannas

In this work, we investigate an exactly solvable two-leg spin ladder with three-spin interactions. We obtain analytically the finite-size corrections of the low-lying energies and determine the central charge as well as the scaling…

Statistical Mechanics · Physics 2012-08-30 D. Eloy , J. C. Xavier

The dynamics of lattice gauge theories is characterized by an abundance of local symmetry constraints. Although errors that break gauge symmetry appear naturally in NISQ-era quantum simulators, their influence on the gauge-theory dynamics…

Quantum Gases · Physics 2020-08-05 Jad C. Halimeh , Philipp Hauke