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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…

强关联电子 · 物理学 2016-08-16 S. Porta , F. M. Gambetta , F. Cavaliere , N. Traverso Ziani , M. Sassetti

Motivated by recent experiments on interacting cold atoms, we analyze interaction quenches in Luttinger liquids (LL), where the interaction is ramped from zero to a finite value within a finite time. The fermionic single particle density…

强关联电子 · 物理学 2011-04-15 Balázs Dóra , Masudul Haque , Gergely Zaránd

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…

强关联电子 · 物理学 2017-08-18 Alessio Calzona , Filippo Maria Gambetta , Fabio Cavaliere , Matteo Carrega , Maura Sassetti

We study the dynamics resulting out of an abrupt change of the two-particle interaction in two models of closed one-dimensional Fermi systems: (a) the field theoretical Tomonaga-Luttinger model and (b) a microscopic lattice model. Using a…

强关联电子 · 物理学 2013-10-23 D. M. Kennes , V. Meden

We provide strong evidence that the relaxation dynamics of one-dimensional, metallic Fermi systems resulting out of an abrupt amplitude change of the two-particle interaction has aspects which are universal in the Luttinger liquid sense:…

强关联电子 · 物理学 2013-01-11 C. Karrasch , J. Rentrop , D. Schuricht , V. Meden

We consider finite-time quantum quenches in the interacting Tomonaga--Luttinger model, for example time-dependent changes of the nearest-neighbour interactions for spinless fermions. We use the exact solutions for specific protocols…

强关联电子 · 物理学 2016-08-17 Piotr Chudzinski , Dirk Schuricht

We study a system consisting of a Luttinger liquid coupled to a quantum dot on the boundary. The Luttinger liquid is expressed in terms of fermions interacting via density-density coupling and the dot is modeled as an interacting resonant…

强关联电子 · 物理学 2020-06-09 Colin Rylands , Natan Andrei

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…

强关联电子 · 物理学 2015-06-12 N. Nessi , A. Iucci

An overview is given of the limitations of Luttinger liquid theory in describing the real time equilibrium dynamics of critical one-dimensional systems with nonlinear dispersion relation. After exposing the singularities of perturbation…

强关联电子 · 物理学 2015-06-05 Rodrigo G. Pereira

A Luttinger liquid (LL) describes low energy excitations of many interacting one dimensional systems, and exhibits universal response both in and out of equilibrium. We analyze its behaviour in the non-hermitian realm after quantum…

强关联电子 · 物理学 2020-04-01 Balázs Dóra , Catalin Pascu Moca

We study the relaxation dynamics of a nonequilibrium Luttinger liquid after a sudden interaction switch-on ("quench"), focussing on a double-step initial momentum distribution function. In the framework of the non-equilibrium bosonization,…

强关联电子 · 物理学 2013-12-16 Stéphane Ngo Dinh , Dmitry A. Bagrets , Alexander D. Mirlin

We investigate the stability of a Luttinger liquid, upon suddenly coupling it to a dissipative environment. Within the Lindblad equation, the environment couples to local currents and heats the quantum liquid up to infinite temperatures.…

强关联电子 · 物理学 2021-01-05 Ádám Bácsi , Catalin Pascu Moca , Gergely Zaránd , Balázs Dóra

We investigate a quantum many-body lattice system of one-dimensional spinless fermions interacting with a dynamical $Z_2$ gauge field. The gauge field mediates long-range attraction between fermions resulting in their confinement into…

强关联电子 · 物理学 2020-03-31 Umberto Borla , Ruben Verresen , Fabian Grusdt , Sergej Moroz

We analyze the properties of a Luttinger liquid under the influence of a periodic driving of the interaction strength. Irrespective of the details the driven system develops an instability due to a parametric resonance. For slow and fast…

强关联电子 · 物理学 2013-01-29 Marin Bukov , Markus Heyl

For many years, the Luttinger liquid theory has served as a useful paradigm for the description of one-dimensional (1D) quantum fluids in the limit of low energies. This theory is based on a linearization of the dispersion relation of the…

强关联电子 · 物理学 2012-09-18 Adilet Imambekov , Thomas L. Schmidt , Leonid I. Glazman

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…

强关联电子 · 物理学 2015-05-13 Michael Moeckel , Stefan Kehrein

We study the relaxation dynamics of the one-dimensional Tomonaga-Luttinger model after an interaction quench paying particular attention to the momentum dependence of the two-particle interaction. Several potentials of different analytical…

强关联电子 · 物理学 2013-01-14 J. Rentrop , D. Schuricht , V. Meden

We compute the dynamics of localized excitations produced by a quantum quench in the spin 1/2 XXZ chain. Using numerics combining the density matrix renormalization group and exact time evolution, as well as analytical arguments, we show…

We investigate the quantum quench dynamics of the interacting Hatano-Nelson model with open boundary conditions using both abelian bosonization and numerical methods. Specifically, we follow the evolution of the particle density and current…

强关联电子 · 物理学 2023-07-07 Balázs Dóra , Miklós Antal Werner , Cătălin Paşcu Moca

Repulsive soft-core atomic systems may undergo clustering if their density is high enough that core overlap is unavoidable. In one-dimensional quantum systems, it has been shown that this instability triggers a transition from a Luttinger…

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