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Related papers: Quantum quenches and thermalization in one-dimensi…

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We use quantum quenches to study the dynamics and thermalization of hardcore bosons in finite one-dimensional lattices. We perform exact diagonalizations and find that, far away from integrability, few-body observables thermalize. We then…

Statistical Mechanics · Physics 2009-09-02 Marcos Rigol

We study thermalization in a one-dimensional quantum system consisting of a noninteracting fermionic chain with each site of the chain coupled to an additional bath site. Using a density matrix renormalization group algorithm we investigate…

Statistical Mechanics · Physics 2013-03-14 N. Sedlmayr , J. Ren , F. Gebhard , J. Sirker

We present a comparison between the bosonization results for quantum quenches and exact diagonalizations in microscopic models of interacting spinless fermions in a one-dimensional lattice. We show that important features are missed by the…

Strongly Correlated Electrons · Physics 2013-02-14 Emanuele Coira , Federico Becca , Alberto Parola

We review exact approaches and recent results related to the relaxation dynamics and description after relaxation of various one-dimensional lattice systems of hard-core bosons after a sudden quench. We first analyze the integrable case,…

Statistical Mechanics · Physics 2013-09-24 Marcos Rigol

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

We study the mechanism of thermalization in finite many-fermion systems with random $k$-body interactions in presence of a mean-field. The system Hamiltonian $H$, for $m$ fermions in $N$ single particle states with $k$-body interactions, is…

Chaotic Dynamics · Physics 2023-04-05 Priyanka Rao , N. D. Chavda

Using the adaptive time-dependent density-matrix renormalization group method, we study the time evolution of strongly correlated spinless fermions on a one-dimensional lattice after a sudden change of the interaction strength. For certain…

Other Condensed Matter · Physics 2007-06-13 S. R. Manmana , S. Wessel , R. M. Noack , A. Muramatsu

We investigate the non-equilibrium relaxation dynamics of a one dimensional system of interacting spinless fermions near the XXZ integrable point. We observe two qualitatively different regimes: close to integrability and for low energies…

Quantum Gases · Physics 2015-03-10 Nicolas Nessi , Aníbal Iucci

We investigate the non-equilibrium quantum dynamics and thermodynamics of free fermions suddenly coupled to a localized defect in a one-dimensional harmonic trap. This setup realizes a quantum quench transformation that gives rise to the…

Quantum Gases · Physics 2026-01-26 Beatrice Donelli , Gabriele De Chiara , Francesco Scazza , Stefano Gherardini

We develop an exact approach to study the quench dynamics of hard-core bosons initially in thermal equilibrium in one-dimensional lattices. This approach is used to study the sudden expansion of thermal states after confining potentials are…

Quantum Gases · Physics 2018-01-23 Wei Xu , Marcos Rigol

We study the thermalization of excitations generated by spontaneous emission events for cold bosons in an optical lattice. Computing the dynamics described by the many-body master equation, we characterize equilibration timescales in…

Quantum Gases · Physics 2014-01-15 Johannes Schachenmayer , Lode Pollet , Matthias Troyer , Andrew John Daley

We study spectral properties and the dynamics after a quench of one-dimensional spinless fermions with short-range interactions and long-range random hopping. We show that a sufficiently fast decay of the hopping term promotes localization…

Disordered Systems and Neural Networks · Physics 2012-05-24 Ehsan Khatami , Marcos Rigol , Armando Relaño , Antonio M. Garcia-Garcia

Following a sudden change of interactions in an integrable system of one-dimensional fermions, we analyze the dependence of the static structure factor on the observation time after the quantum quench. At small waiting times after the…

Statistical Mechanics · Physics 2022-05-06 Adrian Del Maestro , Hatem Barghathi , Bernd Rosenow

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

We consider a system of non-interacting fermions in one dimension subject to a single-particle potential consisting of (a) a strong optical lattice, (b) a harmonic trap, and (c) uncorrelated on-site disorder. After a quench, in which the…

Quantum Gases · Physics 2017-01-05 Maximilian Schulz , Roderich Moessner , C. A. Hooley

We study the effect of suddenly turning on a long-range interaction in a spinless Fermi gas in two dimensions. The short to intermediate time dynamics is obtained using the method of bosonization of the Fermi surface. This allow to…

Quantum Gases · Physics 2014-11-21 N. Nessi , A. Iucci , M. A. Cazalilla

We provide an overview of our numerical and analytical studies of isolated interacting quantum systems that are quenched out of equilibrium instantaneously. We describe the relaxation process to a new equilibrium and obtain lower bounds for…

Statistical Mechanics · Physics 2016-04-04 E. J. Torres-Herrera , Davida Kollmar , Lea F. Santos

We study non-equilibrium dynamics in SYK models using quantum quench. We consider models with two, four, and higher fermion interactions ($q=2, 4$, and higher) and use two different types of quench protocol, which we call step and bump…

High Energy Physics - Theory · Physics 2020-03-17 Ritabrata Bhattacharya , Dileep P. Jatkar , Nilakash Sorokhaibam

A diagonal entropy, which depends only on the diagonal elements of the system's density matrix in the energy representation, has been recently introduced as the proper definition of thermodynamic entropy in out-of-equilibrium quantum…

Statistical Mechanics · Physics 2012-02-17 Lea F. Santos , Anatoli Polkovnikov , Marcos Rigol

We simulate dynamics of many-particle systems of bosons and fermions using discrete time quantum walks on lattices. We present a computational proof of a behavior of the simulated systems similar to the one observed in Hamiltonian dynamics…

Quantum Physics · Physics 2017-04-03 Dibwe Pierrot Musumbu , Maria Przybylska , Andrzej J. Maciejewski
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