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We consider the unitary time evolution of a one-dimensional quantum system which is in a stationary state for negative times and then undergoes a sudden change (quench) of a parameter of its Hamiltonian at t=0. For systems possessing a…

Statistical Mechanics · Physics 2014-10-09 Gesualdo Delfino

We develop a form factor bootstrap program to determine the matrix elements of local, boundary condition changing operators. We propose axioms for these form factors and determine their solutions in the free boson and Lee-Yang models. The…

High Energy Physics - Theory · Physics 2016-06-15 Zoltan Bajnok , Laszlo Hollo

We study the non equilibrium time evolution of an integrable field theory in 1+1 dimensions after a sudden variation of a global parameter of the Hamiltonian. For a class of quenches defined in the text, we compute the long times limit of…

Statistical Mechanics · Physics 2010-12-02 Davide Fioretto , Giuseppe Mussardo

We consider quantum quenches in the integrable $SU(3)$-invariant spin chain (Lai-Sutherland model), and focus on the family of integrable initial states. By means of a Quantum Transfer Matrix approach, these can be related to…

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

We consider quantum quenches in an integrable quantum chain with tuneable-integrability-breaking interactions. In the case where these interactions are weak, we demonstrate that at intermediate times after the quench local observables relax…

Statistical Mechanics · Physics 2014-04-23 F. H. L. Essler , S. Kehrein , S. R. Manmana , N. J. Robinson

We study the off-equilibrium dynamics of the infinite dimensional Bose Hubbard Model after a quantum quench. The dynamics can be analyzed exactly by mapping it to an effective Newtonian evolution. For integer filling, we find a dynamical…

Quantum Gases · Physics 2010-12-17 Bruno Sciolla , Giulio Biroli

We numerically simulate the time evolution of the Ising field theory after quenches starting from the $E_8$ integrable model using the Truncated Conformal Space Approach. The results are compared with two different analytic predictions…

Statistical Mechanics · Physics 2018-09-26 Kristóf Hódsági , Márton Kormos , Gábor Takács

We study the Loschmidt echo for quenches in open one-dimensional lattice models with symmetry protected topological phases. For quenches where dynamical quantum phase transitions do occur we find that cusps in the bulk return rate at…

Statistical Mechanics · Physics 2018-02-21 N. Sedlmayr , P. Jäger , M. Maiti , J. Sirker

We consider quantum quenches in integrable models. We argue that the behaviour of local observables at late times after the quench is given by their expectation values with respect to a single representative Hamiltonian eigenstate. This can…

Statistical Mechanics · Physics 2013-07-29 Jean-Sebastien Caux , Fabian H. L. Essler

We consider the expectation value of a local operator on a strip with non-trivial boundaries in 1+1 dimensional massive integrable QFT. Using finite volume regularisation in the crossed channel and extending the boundary state formalism to…

High Energy Physics - Theory · Physics 2011-07-28 M. Kormos , B. Pozsgay

In this work we investigate the equilibration dynamics after a sudden Hamiltonian quench of a quantum spin system initially prepared in a thermal state. To characterize the equilibration we evaluate the Loschmidt echo, a global measure for…

Quantum Physics · Physics 2011-09-13 N. Tobias Jacobson , Lorenzo Campos Venuti , Paolo Zanardi

We study a quantum quench of an integrable quantum field theory in the planar infinite-$N$ limit. Unlike isovector-valued $O(N)$ models, matrix-valued field theories in the infinite-$N$ limit are not solvable by the Hartre-Fock…

Statistical Mechanics · Physics 2016-09-21 Axel Cortés Cubero

We prove the approach to equilibrium of quenched isolated quantum systems for which the change in the Hamiltonian brought about by the quench satisfies a certain closed commutator algebra with all the extensive integrals of motion of the…

Statistical Mechanics · Physics 2016-12-01 E. Solano-Carrillo

The expectation values of local fields of any interacting quantum theory after a quench process are key quantities for matching theoretical and experimental results. For quantum integrable field theories, we argue that they can be obtained…

Statistical Mechanics · Physics 2013-08-22 Giuseppe Mussardo

When a quantum many-body system undergoes a quench, the time-averaged density-matrix $\rho$ governs the time-averaged expectation value of any observable. It is therefore the key object to look at when comparing results with equilibrium…

Strongly Correlated Electrons · Physics 2009-03-01 Guillaume Roux

We study the dynamics arising from a double quantum quench where the parameters of a given Hamiltonian are abruptly changed from being in an equilibrium phase A to a different phase B and back (A$\to$B$\to$A). As prototype models, we…

Statistical Mechanics · Physics 2018-05-17 D. M. Kennes , D. Schuricht , C. Karrasch

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

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

A general framework is proposed to tackle analytically local quantum quenches in integrable impurity systems, combining a mapping onto a boundary problem with the form factor approach to boundary-condition-changing operators introduced in…

Strongly Correlated Electrons · Physics 2013-06-17 Romain Vasseur , Kien Trinh , Stephan Haas , Hubert Saleur

We investigate the out-of-equilibrium dynamics of the one-dimensional quantum Ising model after a sudden quench of the transverse magnetic field. While for a translationally invariant system the statistical description of the asymptotic…

Statistical Mechanics · Physics 2015-03-19 Tommaso Caneva , Elena Canovi , Davide Rossini , Giuseppe E. Santoro , Alessandro Silva
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