Generalized TBA and generalized Gibbs

Mossel, Jorn; Caux, Jean-Sébastien

doi:10.1088/1751-8113/45/25/255001

Cited by 117 publications

(156 citation statements)

References 28 publications

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“…We also note, that in general, (48) should remain valid as long as the particle picture is valid, i.e. even in the presence of a small integrability breaking perturbation as long as the energy spectrum has the same structure, e.g.…”

Section: Direct Analysis Via the Bethe-yang Equationmentioning

confidence: 95%

Quench echo and work statistics in integrable quantum field theories

Palmai

Sotiriadis

2014

Phys. Rev. E

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We propose a boundary thermodynamic Bethe ansatz calculation technique to obtain the Loschmidt echo and the statistics of the work done when a global quantum quench is performed on an integrable quantum field theory. We derive an analytic expression for the lowest edge of the probability density function and find that it exhibits universal features, in the sense that its scaling form depends only on the statistics of excitations. We perform numerical calculations on the sinh-Gordon model, a deformation of the free boson theory, and we obtain that by turning on the interaction the density function develops fermionic properties. The calculations are facilitated by a previously unnoticed property of the thermodynamic Bethe ansatz construction.

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Section: Direct Analysis Via the Bethe-yang Equationmentioning

confidence: 95%

Quench echo and work statistics in integrable quantum field theories

Palmai

Sotiriadis

2014

Phys. Rev. E

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“…An explicit solution can then be obtained using the generalized TBA [6,17]. Putting everything together leads to a much simpler expression for the full time evolution (5) …”

Section: Quench Action Approachmentioning

confidence: 99%

Solution for an interaction quench in the Lieb-Liniger Bose gas

et al. 2014

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Solution for an interaction quench in the Lieb-Liniger Bose gasDe Nardis, J.; Wouters, B.M.; Brockmann, M.; Caux, J.S. General rightsIt is not permitted to download or to forward/distribute the text or part of it without the consent of the author(s) and/or copyright holder(s), other than for strictly personal, individual use, unless the work is under an open content license (like Creative Commons). Disclaimer/Complaints regulationsIf you believe that digital publication of certain material infringes any of your rights or (privacy) interests, please let the Library know, stating your reasons. In case of a legitimate complaint, the Library will make the material inaccessible and/or remove it from the website. Please Ask the Library: http://uba.uva.nl/en/contact, or a letter to: Library of the University of Amsterdam, Secretariat, Singel 425, 1012 WP Amsterdam, The Netherlands. You will be contacted as soon as possible. We study a quench protocol where the ground state of a free many-particle bosonic theory in one dimension is let unitarily evolve in time under the integrable Lieb-Liniger Hamiltonian of δ-interacting repulsive bosons. By using a recently proposed variational method, we here obtain the exact nonthermal steady state of the system in the thermodynamic limit and discuss some of its main physical properties. Besides being a rare case of a thermodynamically exact solution to a truly interacting quench situation, this interestingly represents an example where a standard implementation of the generalized Gibbs ensemble fails.

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“…(42) the elements of which are the already calculated two-point fermion functions in Eq. (43). The fermionic correlators in Eq.…”

Section: Equal-time Two Point Longitudinal Correlation Functionmentioning

confidence: 99%

Quantum quenches from excited states in the Ising chain

Bucciantini¹,

Kormos²,

Calabrese³

2014

J. Phys. A: Math. Theor.

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We consider the non-equilibrium dynamics after a sudden quench of the magnetic field in the transverse field Ising chain starting from excited states of the pre-quench Hamiltonian. We prove that stationary values of local correlation functions can be described by the generalised Gibbs ensemble (GGE). Then we study the full time evolution of the transverse magnetisation by means of stationary phase methods. The equal time two-point longitudinal correlation function is analytically derived for a particular class of excited states for quenches within the ferromagnetic phase, and studied numerically in general. The full time dependence of the entanglement entropy of a block of spins is also obtained analytically for the same class of states and for arbitrary quenches.arXiv:1401.7250v1 [cond-mat.stat-mech]

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Generalized TBA and generalized Gibbs

Cited by 117 publications

References 28 publications

Quench echo and work statistics in integrable quantum field theories

Quench echo and work statistics in integrable quantum field theories

Solution for an interaction quench in the Lieb-Liniger Bose gas

Quantum quenches from excited states in the Ising chain

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