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Using the adaptive time-dependent density matrix renormalization group, we study the time evolution of density correlations of interacting spinless fermions on a one-dimensional lattice after a sudden change in the interaction strength.…

Strongly Correlated Electrons · Physics 2009-04-17 Salvatore R. Manmana , Stefan Wessel , Reinhard M. Noack , Alejandro Muramatsu

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

Particle entanglement provides information on quantum correlations in systems of indistinguishable particles. Here, we study the one particle entanglement entropy for an integrable model of spinless, interacting fermions both at equilibrium…

We employ equation of motion techniques to study the non-equilibrium dynamics in a lattice model of weakly interacting spinless fermions. Our model provides a simple setting for analyzing the effects of weak integrability breaking…

Statistical Mechanics · Physics 2016-12-13 Bruno Bertini , Fabian H. L. Essler , Stefan Groha , Neil J. Robinson

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 analyze fermions after an interaction quantum quench in one spatial dimension and study the growth of the steady state entanglement entropy density under either a spatial mode or particle bipartition. For integrable lattice models, we…

Statistical Mechanics · Physics 2021-11-15 Adrian Del Maestro , Hatem Barghathi , Bernd Rosenow

We consider the nonequilibrium dynamics of an interacting spin-1/2 fermion gas in a one-dimensional optical lattice after switching off the confining potential. In particular, we study the creation and the time evolution of spatially…

Quantum Gases · Physics 2013-05-31 Stefan Kessler , Ian P. McCulloch , Florian Marquardt

We study the dynamics and thermalization of strongly correlated fermions in finite one-dimensional lattices after a quantum quench. Our calculations are performed using exact diagonalization. We focus on one- and two-body observables such…

Statistical Mechanics · Physics 2013-02-08 Marcos Rigol

The relaxation of uniform quantum systems with finite-range interactions after a quench is generically driven by the ballistic propagation of long-lived quasi-particle excitations triggered by a sufficiently small quench. Here we…

Quantum Gases · Physics 2018-02-07 Irénée Frérot , Piero Naldesi , Tommaso Roscilde

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

Dynamical properties of two-component mass-imbalanced few-fermion systems confined in a one-dimensional harmonic trap following a sudden quench of interactions are studied. It is assumed that initially the system is prepared in the…

Quantum Gases · Physics 2022-11-21 Dillip K. Nandy , Tomasz Sowiński

We study the sudden expansion of strongly correlated fermions in a one-dimensional lattice, utilizing the time-dependent density-matrix renormalization group method. Our focus is on the behavior of experimental observables such as the…

Strongly Correlated Electrons · Physics 2008-07-18 F. Heidrich-Meisner , M. Rigol , A. Muramatsu , A. E. Feiguin , E. Dagotto

A typical working condition in the study of quantum quenches is that the initial state produces a distribution of quasiparticle excitations with an opposite-momentum-pair structure. In this work we investigate the dynamical and stationary…

Statistical Mechanics · Physics 2018-07-05 Bruno Bertini , Elena Tartaglia , Pasquale Calabrese

We study the dynamics of a quantum Ising chain after the sudden introduction of a non-integrable long-range interaction. Via an exact mapping onto a fully-connected lattice of hard-core bosons, we show that a pre-thermal state emerges and…

Statistical Mechanics · Physics 2013-11-19 Matteo Marcuzzi , Jamir Marino , Andrea Gambassi , Alessandro Silva

We use non-equilibrium dynamical mean-field theory to demonstrate the existence of a critical interaction in the real-time dynamics of the Hubbard model after an interaction quench. The critical point is characterized by fast thermalization…

Strongly Correlated Electrons · Physics 2009-09-02 Martin Eckstein , Marcus Kollar , Philipp Werner

The quantum transfer matrix (QTM) approach to integrable lattice Fermion systems is presented. As a simple case we treat the spinless Fermion model with repulsive interaction in critical regime. We derive a set of non-linear integral…

Statistical Mechanics · Physics 2019-12-20 Kazumitsu Sakai , Masahiro Shiroishi , Junji Suzuki , Yukiko Umeno

We study the time-dependent dynamical properties of two-component ultracold fermions in a one-dimensional optical superlattice by applying the adaptive time-dependent density matrix renormalization group to a repulsive Hubbard model with an…

Quantum Gases · Physics 2009-11-30 Atsushi Yamamoto , Makoto Yamashita , Norio Kawakami

We study a two species fermion mixture with different populations on a square lattice modeled by a Hubbard Hamiltonian with on-site inter-species repulsive interaction. Such a model can be realized in a cold atom system with fermionic atoms…

Strongly Correlated Electrons · Physics 2013-02-25 Chen-Yen Lai , Chuntai Shi , Shan-Wen Tsai

We study the relaxation dynamics of interacting, one-dimensional fermions with band curvature after a weak quench in the interaction parameter. After the quench, the system is described by a non-equilibrium initial state, which relaxes…

Quantum Gases · Physics 2016-07-11 Michael Buchhold , Markus Heyl , Sebastian Diehl

We consider the quench dynamics of non-interacting fermions in one dimension in the presence of a finite-size impurity at the origin. This impurity is characterized by general momentum-dependent reflection and transmission coefficients…

Statistical Mechanics · Physics 2023-08-29 Gabriel Gouraud , Pierre Le Doussal , Gregory Schehr
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