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The conventional theory of hydrodynamics describes the evolution in time of chaotic many-particle systems from local to global equilibrium. In a quantum integrable system, local equilibrium is characterized by a local generalized Gibbs…

Statistical Mechanics · Physics 2018-02-21 Vir B. Bulchandani , Romain Vasseur , Christoph Karrasch , Joel E. Moore

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

Aiming at studying the emergence of Non-Equilibrium Steady States (NESS) in quantum integrable models by means of an exact analytical method, we focus on the Tonks-Girardeau or hard-core boson limit of the Lieb-Liniger model. We consider…

Statistical Mechanics · Physics 2020-07-27 Spyros Sotiriadis

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 idea is advanced that strong perturbations of an initially equilibrium Bose-condensed gas lead to the sequence of nonequilibrium states whose order is inverse to the sequence of states arising in the process of the Bose-gas relaxation…

Quantum Gases · Physics 2015-02-24 V. I. Yukalov , E. P. Yukalova

When a parameter quench is performed in an isolated quantum system with a complete set of constants of motion, its out of equilibrium dynamics is considered to be well captured by the Generalized Gibbs Ensemble (GGE), characterized by a set…

Mesoscale and Nanoscale Physics · Physics 2021-02-23 Lorenzo Rossi , Fabrizio Dolcini , Fabio Cavaliere , Niccolò Traverso Ziani , Maura Sassetti , Fausto Rossi

By exploring a phase space hydrodynamics description of one-dimensional free Fermi gas, we discuss how systems settle down to steady states described by the generalized Gibbs ensembles through quantum quenches. We investigate time…

Statistical Mechanics · Physics 2018-10-23 Manas Kulkarni , Gautam Mandal , Takeshi Morita

The formation of an equilibrium quantum state from an uncorrelated thermal one through the dynamical crossing of a phase transition is a central question of non-equilibrium many-body physics. During such crossing, the system breaks its…

Quantum Gases · Physics 2018-06-18 I. -K. Liu , S. Donadello , G. Lamporesi , G. Ferrari , S. -C. Gou , F. Dalfovo , N. P. Proukakis

We study work extraction (defined as the difference between the initial and the final energy) in noninteracting and (effectively) weakly interacting isolated fermionic quantum lattice systems in one dimension, which undergo a sequence of…

Statistical Mechanics · Physics 2017-07-05 Ranjan Modak , Marcos Rigol

Nonequilibrium dynamics of a nonintegrable system without the eigenstate thermalization hypothesis is studied. It is shown that, in the thermodynamic limit, this model thermalizes after an arbitrary quantum quench at finite temperature,…

Statistical Mechanics · Physics 2017-09-06 Takashi Mori , Naoto Shiraishi

We theoretically investigate the effects of atom losses in the one-dimensional (1D) Bose gas with repulsive contact interactions, a famous quantum integrable system also known as the Lieb-Liniger gas. The generic case of K-body losses (K =…

Quantum Gases · Physics 2020-10-07 Isabelle Bouchoule , Benjamin Doyon , Jerome Dubail

We explore the out-of-equilibrium temporal dynamics of demixing and phase separation in a two dimensional binary Bose fluid at zero temperature, following a sudden quench across the miscible-immiscible phase boundary. On short timescales,…

Quantum Gases · Physics 2014-03-10 Stefan S. Natu , S. Das Sarma

We study quench dynamics of the Bose-Hubbard model by exact diagonalization. Initially the system is at thermal equilibrium and of a finite temperature. The system is then quenched by changing the on-site interaction strength $U$ suddenly.…

Statistical Mechanics · Physics 2011-06-21 J. M. Zhang , C. Shen , W. M. Liu

The dynamical evolution of an inhomogeneous ultracold atomic gas quenched at different controllable rates through the Bose-Einstein condensation phase transition is studied numerically in the premise of a recent experiment in an anisotropic…

Quantum Gases · Physics 2020-08-12 I-Kang Liu , Jacek Dziarmaga , Shih-Chuan Gou , Franco Dalfovo , Nick P. Proukakis

In this work, we show that the dissipation in a many-body system under an arbitrary non-equilibrium process is related to the R\'{e}nyi divergences between two states along the forward and reversed dynamics under very general family of…

Statistical Mechanics · Physics 2018-05-07 Bo-Bo Wei

The problem of coupled Fermi-Bose mixtures of an ultracold gas near a narrow Feshbach resonance is approached through the time-dependent and complex Ginzburg-Landau (TDGL) theory. The dynamical system is constructed using…

Quantum Gases · Physics 2012-03-22 Analabha Roy

Renormalization-group methods provide a viable approach for investigating the emergent collective behavior of classical and quantum statistical systems in both equilibrium and nonequilibrium conditions. Within this approach we investigate…

Quantum Gases · Physics 2015-11-25 Alessio Chiocchetta , Marco Tavora , Andrea Gambassi , Aditi Mitra

Understanding strongly correlated phases of matter, from the quark-gluon plasma to neutron stars, and in particular the dynamics of such systems, $e.g.$ following a Hamiltonian quench, poses a fundamental challenge in modern physics.…

In this chapter we will present the one-dimensional (1d) quantum degenerate Bose gas (1d superfluid) as a testbed to experimentally illustrate some of the key aspects of quantum thermodynamics. Hard-core bosons in one-dimension are…

Quantum Physics · Physics 2019-05-01 Joerg Schmiedmayer

The quenched unitary Bose gas is a paradigmatic example of a strongly interacting out-of-equilibrium quantum system, whose dynamics become difficult to describe theoretically due to the growth of non-Gaussian quantum correlations. We…

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