Universality and robustness of revivals in the transverse field<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>X</mml:mi><mml:mi>Y</mml:mi></mml:mrow></mml:math>model

Häppölä, Juho; Halász, Gábor B.; Hamma, Alioscia

doi:10.1103/physreva.85.032114

Cited by 67 publications

(93 citation statements)

References 33 publications

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“…It was always close to the revival time predicted by the simple but successful model of [11] based on the free streaming of quasiparticle excitations. This model underlies the periodicities after a quench found in some finite size systems described by integrable spin chains [5,6] and conformal field theories [7].…”

Section: Jhep04(2015)038mentioning

confidence: 99%

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Collapse and revival in holographic quenches

Silva

López

Mas

et al. 2015

J. High Energ. Phys.

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Abstract:We study holographic models related to global quantum quenches in finite size systems. The holographic set up describes naturally a CFT, which we consider on a circle and a sphere. The enhanced symmetry of the conformal group on the circle motivates us to compare the evolution in both cases. Depending on the initial conditions, the dual geometry exhibits oscillations that we holographically interpret as revivals of the initial field theory state. On the sphere, this only happens when the energy density created by the quench is small compared to the system size. However on the circle considerably larger energy densities are compatible with revivals. Two different timescales emerge in this latter case. A collapse time, when the system appears to have dephased, and the revival time, when after rephasing the initial state is partially recovered. The ratio of these two times depends upon the initial conditions in a similar way to what is observed in some experimental setups exhibiting collapse and revivals.

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Section: Jhep04(2015)038mentioning

confidence: 99%

“…When revivals appear, they are not isolated, but repeat themselves with or without decay [4][5][6][7]. The focus of this work is set on this last type of effect.…”

Section: Introductionmentioning

confidence: 99%

Collapse and revival in holographic quenches

Silva

López

Mas

et al. 2015

J. High Energ. Phys.

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“…In terms of the above definition, a sharp decay of the Loschmidt echo around the critical point has been taken as the signature of quantum phase transition 15,[42][43][44][45][46][47] . The quench process can be viewed as from ∆ − δ to ∆ + δ, so the initial and final Hamiltonian are quite similar except around the critical point ∆ = 2.…”

Section: Numerical Study Of a General Quench Processmentioning

confidence: 99%

Dynamical signature of localization-delocalization transition in a one-dimensional incommensurate lattice

Yang

Wang

et al. 2017

Phys. Rev. B

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We investigate the quench dynamics of a one-dimensional incommensurate lattice described by the Aubry-André model by a sudden change of the strength of incommensurate potential ∆ and unveil that the dynamical signature of localization-delocalization transition can be characterized by the occurrence of zero points in the Loschmit echo. For the quench process with quenching taking place between two limits of ∆ = 0 and ∆ = ∞, we give analytical expressions of the Loschmidt echo, which indicate the existence of a series of zero points in the Loschmidt echo. For a general quench process, we calculate the Loschmidt echo numerically and analyze its statistical behavior. Our results show that if both the initial and post-quench Hamiltonian are in extended phase or localized phase, Loschmidt echo will always be greater than a positive number; however if they locate in different phases, Loschmidt echo can reach nearby zero at some time intervals.

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“…In a finite system, any local operator will show revivals but this time scale becomes progressively larger and diverges [36] as L → ∞.…”

mentioning

confidence: 99%

Eigenstate Gibbs ensemble in integrable quantum systems

et al. 2016

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The Eigenstate Thermalization Hypothesis implies that for a thermodynamically large system in one of its eigenstates, the reduced density matrix describing any finite subsystem is determined solely by a set of relevant conserved quantities. In a generic system, only the energy plays that role and hence eigenstates appear locally thermal. Integrable systems, on the other hand, possess an extensive number of such conserved quantities and hence the reduced density matrix requires specification of an infinite number of parameters (Generalized Gibbs Ensemble). However, here we show by unbiased statistical sampling of the individual eigenstates with a given finite energy density, that the local description of an overwhelming majority of these states of even such an integrable system is actually Gibbs-like, i.e. requires only the energy density of the eigenstate. Rare eigenstates that cannot be represented by the Gibbs ensemble can also be sampled efficiently by our method and their local properties are then shown to be described by appropriately truncated Generalized Gibbs Ensembles. We further show that the presence of these rare eigenstates differentiates the model from the generic (non-integrable) case and leads to the system being described by a Generalized Gibbs Ensemble at long time under a unitary dynamics following a sudden quench, even when the initial state is a Gibbs-like eigenstate of the pre-quench Hamiltonian.

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Universality and robustness of revivals in the transverse fieldXYmodel

Cited by 67 publications

References 33 publications

Collapse and revival in holographic quenches

Collapse and revival in holographic quenches

Dynamical signature of localization-delocalization transition in a one-dimensional incommensurate lattice

Eigenstate Gibbs ensemble in integrable quantum systems

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