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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

We investigate generalized thermalization in an isolated free Fermionic chain evolving from an out of equilibrium initial state through a sudden quench. We consider the quench where a Fermionic chain is broken into two disjoint chains. We…

Quantum Gases · Physics 2023-05-01 Sandra Byju , Kinjalk Lochan , S. Shankaranarayanan

We consider a quantum quench in a non-interacting fermionic one-dimensional field-theory. The system of size $L$ is initially prepared into two halves $\mathcal{L}$ ($[-L/2,0]$) and $\mathcal{R}$ ($[0,L/2]$), each of them thermalized at two…

Statistical Mechanics · Physics 2014-10-23 Mario Collura , Dragi Karevski

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

The generic non-equilibrium evolution of a strongly interacting fermionic system is studied. For strong quenches, a collective collapse-and-revival phenomenon is found extending over the whole Brillouin zone. A qualitatively distinct…

Strongly Correlated Electrons · Physics 2014-03-14 Simone A. Hamerla , Götz S. Uhrig

The dynamics of the Luttinger model and the sine-Gordon model (at the Luther-Emery point and in the semiclassical approximation) after a quantum quench is studied. We compute in detail one and two-point correlation functions for different…

Strongly Correlated Electrons · Physics 2015-05-13 A. Iucci , M. A. Cazalilla

In connection with the the thermalization problem in isolated quantum systems, we investigate the dynamics following a quantum quench of the sine-Gordon model in the Luther-Emery and the semiclassical limits. We consider the quench from the…

Quantum Gases · Physics 2011-04-15 A. Iucci , M. A. Cazalilla

Understanding the non-equilibrium dynamics of extended quantum systems after the trigger of a sudden, global perturbation (quench) represents a daunting challenge, especially in the presence of interactions. The main difficulties stem from…

Strongly Correlated Electrons · Physics 2009-11-13 Alexandre Faribault , Pasquale Calabrese , Jean-Sebastien Caux

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 steady state entanglement and correlations of an open system comprised of two coupled fermions in the equilibrium or nonequilibrium environments and distill the nonequilibrium contribution to the quantum correlations. We show…

Quantum Physics · Physics 2019-12-04 Xuanhua Wang , Jin Wang

We consider the non-equilibrium physics induced by joining together two tight binding fermionic chains to form a single chain. Before being joined, each chain is in a many-fermion ground state. The fillings (densities) in the two chains…

Statistical Mechanics · Physics 2016-09-29 Jacopo Viti , Jean-Marie Stéphan , Jérôme Dubail , Masudul Haque

Quantum electrodynamics (QED) is a cornerstone of particle physics and also finds diverse applications in condensed matter systems. Despite its significance, the dynamics of quantum electrodynamics under a quantum quench remains…

Statistical Mechanics · Physics 2023-12-22 Ming-Rui Li , Shao-Kai Jian

We employ the Quench Action Method (QAM) for a recently considered geometrical quantum quench: two free fermionic chains initially at different temperatures are joined together in the middle and let evolve unitarily with a translation…

Statistical Mechanics · Physics 2015-02-25 Andrea De Luca , Gabriele Martelloni , Jacopo Viti

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 demonstrate the role of interactions in driving the relaxation of an isolated integrable quantum system following a sudden quench. We consider a family of integrable hard-core lattice anyon models that continuously interpolates between…

Quantum Gases · Physics 2014-07-31 Tod M. Wright , Marcos Rigol , Matthew J. Davis , Karen V. Kheruntsyan

We investigate the time evolution of a Fermi-Hubbard model with long range hopping following a sudden quench of the local interactions among different spin species. The quasi-particle spectrum consists of gapped low-energy levels while the…

Quantum Physics · Physics 2024-07-09 Daniel Arrufat-Vicente , Nicolò Defenu

The non-equilibrium dynamics of integrable systems are special: there is substantial evidence that after a quantum quench they do not thermalize but their asymptotic steady state can be described by a Generalized Gibbs Ensemble (GGE). Most…

Statistical Mechanics · Physics 2013-11-27 Marton Kormos , Aditya Shashi , Yang-Zhi Chou , Jean-Sebastien Caux , Adilet Imambekov

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

The dynamics of the Luttinger model after a quantum quench is studied. We compute in detail one and two-point correlation functions for two types of quenches: from a non-interacting to an interacting Luttinger model and vice-versa. In the…

Quantum Gases · Physics 2010-03-29 A. Iucci , M. A. Cazalilla

Light cone spreading of correlations and entanglement is a key feature of the non-equilibrium quench dynamics of many-body quantum systems. First proposed theoretically, it has been experimentally revealed in cold-atomic gases and it is…

Statistical Mechanics · Physics 2017-03-10 M. Kormos , M. Collura , G. Takács , P. Calabrese
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