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We consider quantum quenches in the integrable $SU(3)$-invariant spin chain (Lai-Sutherland model) which admits a Bethe ansatz description in terms of two different quasiparticle species, providing a prototypical example of a model solvable…

Statistical Mechanics · Physics 2019-06-20 Lorenzo Piroli , Eric Vernier , Pasquale Calabrese , Balázs Pozsgay

We use the Quench Action approach to study the non-equilibrium dynamics after a quantum quench in the Hubbard model in the limit of infinite interaction. We identify a variety of low-entangled initial states for which we can directly…

Statistical Mechanics · Physics 2017-11-03 Bruno Bertini , Elena Tartaglia , Pasquale Calabrese

Integrable models provide an exact description for a wide variety of physical phenomena. For example nested integrable systems contain different species of interacting particles with a rich phenomenology in their collective behavior, which…

Statistical Mechanics · Physics 2017-08-22 Márton Mestyán , Bruno Bertini , Lorenzo Piroli , Pasquale Calabrese

We consider the problem of constructing the stationary state following a quantum quench, using the exact overlaps for finite size integrable models. We focus on the isotropic Heisenberg spin chain with initial state N\'eel or Majumdar-Ghosh…

Strongly Correlated Electrons · Physics 2016-04-26 Vincenzo Alba , Pasquale Calabrese

We study the quench dynamics of the one-dimensional Hubbard model through the Quench Action formalism. We introduce a class of integrable initial states -- expressed as product states over two sites -- for which we can provide an exact…

Statistical Mechanics · Physics 2022-11-23 Colin Rylands , Bruno Bertini , Pasquale Calabrese

The steady state after a quantum quench from the N\'eel state to the anisotropic Heisenberg model for spin chains is investigated. Two methods that aim to describe the postquench non-thermal equilibrium, the generalized Gibbs ensemble and…

Strongly Correlated Electrons · Physics 2015-06-22 Michael Brockmann , Bram Wouters , Davide Fioretto , Jacopo De Nardis , Rogier Vlijm , Jean-Sébastien Caux

We consider the problem of determining the initial state of integrable quantum field theory quenches in terms of the post-quench eigenstates. The corresponding overlaps are a fundamental input to most exact methods to treat integrable…

Statistical Mechanics · Physics 2016-01-27 D. X. Horvath , S. Sotiriadis , G. Takacs

We consider a class of quantum quenches in the spin-1/2 XXZ chain, where the initial state is of a simple product form. Specific examples are the N\'eel state, the dimer state and the q-deformed dimer state. We compute determinant formulas…

Statistical Mechanics · Physics 2015-06-17 B. Pozsgay

Entanglement and entropy are key concepts standing at the foundations of quantum and statistical mechanics, respectively. In the last decade the study of quantum quenches revealed that these two concepts are intricately intertwined.…

Strongly Correlated Electrons · Physics 2017-08-21 Vincenzo Alba , Pasquale Calabrese

We review the dynamics after quantum quenches in integrable quantum spin chains. We give a pedagogical introduction to relaxation in isolated quantum systems, and discuss the description of the steady state by (gen- eralized) Gibbs…

Quantum Gases · Physics 2016-07-06 Fabian H. L. Essler , Maurizio Fagotti

Computing the non-equilibrium dynamics that follows a quantum quench is difficult, even in exactly solvable models. Results are often predicated on the ability to compute overlaps between the initial state and eigenstates of the Hamiltonian…

Statistical Mechanics · Physics 2021-12-11 Neil J. Robinson , Albertus J. J. M. de Klerk , Jean-Sébastien Caux

We consider quantum quenches to the sinh-Gordon integrable quantum field theory from a particular class of initial states. Our analysis includes the case of mass and interaction quenches starting from a non-interacting theory. By means of…

Statistical Mechanics · Physics 2016-06-06 Bruno Bertini , Lorenzo Piroli , Pasquale Calabrese

We study sudden quantum quenches in which the initial states are selected to be either eigenstates of an integrable Hamiltonian that is nonmappable to a noninteracting one or a nonintegrable Hamiltonian, while the Hamiltonian after the…

Statistical Mechanics · Physics 2013-04-15 Kai He , Marcos Rigol

Inspired by classical results in integrable boundary quantum field theory, we propose a definition of integrable initial states for quantum quenches in lattice models. They are defined as the states which are annihilated by all local…

Statistical Mechanics · Physics 2017-11-02 Lorenzo Piroli , Balázs Pozsgay , Eric Vernier

We study quenches in integrable spin-1/2 chains in which we evolve the ground state of the antiferromagnetic Ising model with the anisotropic Heisenberg Hamiltonian. For this nontrivially interacting situation, an application of the…

Strongly Correlated Electrons · Physics 2014-09-11 Bram Wouters , Jacopo De Nardis , Michael Brockmann , Davide Fioretto , Marcos Rigol , Jean-Sébastien Caux

In integrable many-particle systems, it is widely believed that the stationary state reached at late times after a quantum quench can be described by a generalized Gibbs ensemble (GGE) constructed from their extensive number of conserved…

We consider the non-equilibrium evolution in the spin-1/2 XXZ Heisenberg chain for fixed magnetization after a local quantum quench. This model is equivalent to interacting spinless fermions. Initially an infinite magnetic field is applied…

Strongly Correlated Electrons · Physics 2012-02-20 Martin Ganahl , Elias Rabel , Fabian H. L. Essler , Hans Gerd Evertz

The time evolution of the entanglement entropy in non-equilibrium quantum systems provides crucial information about the structure of the time-dependent state. For quantum quench protocols, by combining a quasiparticle picture for the…

Statistical Mechanics · Physics 2018-03-30 Vincenzo Alba , Pasquale Calabrese

The past few years have witnessed the development of a comprehensive theory to describe integrable systems out of equilibrium, in which the Bethe ansatz formalism has been tailored to address specific problems arising in this context. While…

Statistical Mechanics · Physics 2019-09-30 Ranjan Modak , Lorenzo Piroli , Pasquale Calabrese

We analyze the behavior of steady-state quantum correlations (QCs) in the spin-1/2 transverse field XY chains analytically, in terms of quench dynamics at zero-temperature. We show that steady-state QCs are strikingly greater than the…

Quantum Physics · Physics 2022-12-14 Sasan Kheiri , Hadi Cheraghi , Saeed Mahdavifar
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