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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 investigate the spread of correlations carried by an excitation in a 1-dimensional lattice system with high on-site energy disorder and long-range couplings with a power-law dependence on the distance ($\propto r^{-\mu}$). The increase…

Disordered Systems and Neural Networks · Physics 2022-06-01 Karol Kawa , Paweł Machnikowski

We investigate the time evolution towards the asymptotic steady state of a one dimensional interacting system after a quantum quench. We show that at finite time the latter induces entanglement between right- and left- moving density…

Strongly Correlated Electrons · Physics 2017-08-18 Alessio Calzona , Filippo Maria Gambetta , Fabio Cavaliere , Matteo Carrega , Maura Sassetti

We study the non-equilibrium dynamics of the Luttinger model after suddenly turning on and off the bare Coulomb interaction between the fermions. We analyze several correlation functions such as the one particle density matrix and vertex…

Strongly Correlated Electrons · Physics 2015-06-12 N. Nessi , A. Iucci

In this thesis, we have investigated the spreading of quantum correlations in isolated lattice models with short- or long-range interactions driven far from equilibrium via sudden global quenches. A general theoretical approach relying on a…

Quantum Physics · Physics 2024-10-07 Julien Despres

Using a Luttinger liquid theory we investigate the time evolution of the particle density of a one-dimensional fermionic system with open boundaries and subject to a finite duration quench of the inter-particle interaction. We provide…

Strongly Correlated Electrons · Physics 2016-08-16 S. Porta , F. M. Gambetta , F. Cavaliere , N. Traverso Ziani , M. Sassetti

We investigate dynamics arising after an interaction quench in the quantum sine-Gordon model for a one-dimensional system initially prepared in a spatially inhomogeneous domain wall state. We study the time-evolution of the density, current…

Strongly Correlated Electrons · Physics 2015-05-20 Jarrett Lancaster , Emanuel Gull , Aditi Mitra

A renormalization group approach is used to show that a one dimensional system of bosons subject to a lattice quench exhibits a finite-time dynamical phase transition where an order parameter within a light-cone increases as a non-analytic…

Strongly Correlated Electrons · Physics 2015-06-05 Aditi Mitra

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

Starting from a product initial state, equal-time correlations in nonrelativistic quantum lattice models propagate within a lightcone-like causal region. The presence of entanglement in the initial state can modify this behavior, enhancing…

Quantum Physics · Physics 2015-12-21 Michael Kastner

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 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 explore how correlations evolve in a gas of lattice bosons when the lattice depth is rapidly reduced. We find a simple closed form expression for the static structure factor in the limit of vanishing interactions. The corresponding…

Quantum Gases · Physics 2013-07-08 Stefan S. Natu , Erich J. Mueller

We study the time evolution of correlation functions in long-range interacting quantum Ising models. For a large class of initial conditions, exact analytic results are obtained in arbitrary lattice dimension, both for ferromagnetic and…

Quantum Physics · Physics 2013-08-07 Mauritz van den Worm , Brian C. Sawyer , John J. Bollinger , Michael Kastner

We analyze the propagation of correlations after a sudden interaction change in a strongly interacting quantum system in contact with an environment. In particular, we consider an interaction quench in the Bose-Hubbard model, deep within…

Quantum Gases · Physics 2018-03-07 Jean-Sebastien Bernier , Ryan Tan , Lars Bonnes , Chu Guo , Dario Poletti , Corinna Kollath

We investigate the response of a one-dimensional Bose gas to a slow increase of its interaction strength. We focus on the rich dynamics of equal-time single-particle correlations treating the Lieb-Liniger model within a bosonization…

Quantum Gases · Physics 2016-09-27 Jean-Sebastien Bernier , Roberta Citro , Corinna Kollath , Edmond Orignac

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

We consider the time evolution of local observables after an interaction quench in the repulsive Lieb-Liniger model. The system is initialized in the ground state for vanishing interaction and then time-evolved with the Lieb-Liniger…

Statistical Mechanics · Physics 2021-09-28 Etienne Granet , Fabian H. L. Essler

We investigate the wave packet dynamics of a pair of particles that undergoes a rapid change of scattering length. The short-range interactions are modeled in the zero-range limit, where the quench is accomplished by switching the boundary…

Quantum Gases · Physics 2016-08-10 John P. Corson , John L. Bohn

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
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