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The properties of prototypical examples of one-dimensional fermionic systems undergoing a sudden quantum quench from a gapless state to a (partially) gapped state are analyzed. By means of a Generalized Gibbs Ensemble analysis or by…

Quantum Gases · Physics 2018-01-23 S. Porta , F. M. Gambetta , N. Traverso Ziani , D. M. Kennes , M. Sassetti , F. Cavaliere

We consider the steady state behavior of observables in the Su-Schrieffer-Heeger model and in the one dimensional transverse field quantum Ising model after a sudden quantum quench of the parameter controlling the gap. In the thermodynamic…

Statistical Mechanics · Physics 2018-12-13 S. Porta , N. Traverso Ziani , D. M. Kennes , F. M. Gambetta , M. Sassetti , F. Cavaliere

We use the semi-classical approach to study the non-equilibrium dynamics of the O(3) non-linear sigma model. For a class of quenches defined in the text, we obtain the order parameter dynamical correlator in the thermodynamic limit. In…

Statistical Mechanics · Physics 2015-06-11 Stefano Evangelisti

We use quantum sine-Gordon model to describe the low energy dynamics of a pair of coupled one-dimensional condensates of interacting atoms. We show that the nontrivial excitation spectrum of the quantum sine-Gordon model, which includes…

Other Condensed Matter · Physics 2007-05-23 Vladimir Gritsev , Anatoli Polkovnikov , Eugene Demler

A classic example of a quantum quench concerns the release of a interacting Bose gas from an optical lattice. The local properties of quenches such as this have been extensively studied however the global properties of these non-equilibrium…

Strongly Correlated Electrons · Physics 2019-09-04 Colin Rylands , Natan Andrei

We consider the stationary state properties of the reduced density matrix as well as spin-spin correlation functions after a sudden quantum quench of the magnetic field in the transverse field Ising chain. We demonstrate that stationary…

Statistical Mechanics · Physics 2013-02-28 Pasquale Calabrese , Fabian H. L. Essler , Maurizio Fagotti

We develop a variational framework for addressing two-dimensional non-integrable quantum field theories through the exact structure of their integrable counterparts. Concentrating on the $\varphi^4$ Landau-Ginzburg model, we use the…

High Energy Physics - Theory · Physics 2025-12-19 Arthur Hutsalyuk , Márton Lájer , Giuseppe Mussardo , Andrea Stampiggi

Long-range interacting spin systems are ubiquitous in physics and exhibit a variety of ground state disorder-to-order phase transitions. We consider a prototype of infinite-range interacting models known as the Lipkin-Meshkov-Glick (LMG)…

Quantum Gases · Physics 2020-07-29 Paraj Titum , Mohammad F. Maghrebi

We study the non-equilibrium dynamics of an isolated bipartite quantum system, the sunburst quantum Ising model, under interaction quench. The pre-quench limit of this model is two non-interacting integrable systems, namely a transverse…

Quantum Physics · Physics 2024-02-01 Akash Mitra , Shashi C. L. Srivastava

In this paper, we first use semi-classical methods to study quantum field theoretical aspects of the integrable noncommutative sine-Gordon model proposed in [hep-th/0406065]. In particular, we examine the fluctuations at quadratic order…

High Energy Physics - Theory · Physics 2009-06-11 Seckin Kurkcuoglu , Olaf Lechtenfeld

The boundary supersymmetric sinh-Gordon model is an integrable quantum field theory in 1+1 dimensions with bulk N=1 supersymmetry, whose bulk and boundary S matrices are not diagonal. We present an exact solution of this model. In…

High Energy Physics - Theory · Physics 2009-10-31 Changrim Ahn , Rafael I. Nepomechie

We analyze fermions after an interaction quantum quench in one spatial dimension and study the growth of the steady state entanglement entropy density under either a spatial mode or particle bipartition. For integrable lattice models, we…

Statistical Mechanics · Physics 2021-11-15 Adrian Del Maestro , Hatem Barghathi , Bernd Rosenow

A typical working condition in the study of quantum quenches is that the initial state produces a distribution of quasiparticle excitations with an opposite-momentum-pair structure. In this work we investigate the dynamical and stationary…

Statistical Mechanics · Physics 2018-07-05 Bruno Bertini , Elena Tartaglia , Pasquale Calabrese

We consider the generic problem of suddenly changing the geometry of an integrable, one-dimensional many-body quantum system. We show how the physics of an initial quantum state released into a bigger system can be completely described…

Strongly Correlated Electrons · Physics 2010-10-05 Jorn Mossel , Guillaume Palacios , Jean-Sébastien Caux

Using twisted commutation relations we show that the quantum sinh-Gordon model on noncommutative space is integrable, and compute the exact two-particle scattering matrix. The model possesses a strong-weak duality, just like its commutative…

High Energy Physics - Theory · Physics 2008-11-26 Sachindeo Vaidya

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

Analog quantum simulation has the potential to be an indispensable technique in the investigation of complex quantum systems. In this work, we numerically investigate a one-dimensional, faithful, analog, quantum electronic circuit simulator…

Quantum Physics · Physics 2021-06-03 Ananda Roy , Dirk Schuricht , Johannes Hauschild , Frank Pollmann , Hubert Saleur

We use the coordinate Bethe ansatz to exactly calculate matrix elements between eigenstates of the Lieb-Liniger model of one-dimensional bosons interacting via a two-body delta-potential. We investigate the static correlation functions of…

Quantum Gases · Physics 2016-04-15 J. C. Zill , T. M. Wright , K. V. Kheruntsyan , T. Gasenzer , M. J. Davis

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

By analysing the sensitivity to a twist in the boundary conditions of the stationary state attained by a many-body system long after a quantum quench, we extend the concepts of the helicity modulus and the stiffness to non-equilibrium…

Statistical Mechanics · Physics 2014-07-25 Davide Rossini , Rosario Fazio , Vittorio Giovannetti , Alessandro Silva
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