Relaxation and entropy generation after quenching quantum spin chains

Lencsés, Máté; Pomponio, Octavio; Takács, Gábor

doi:10.21468/scipostphys.9.1.011

Cited by 10 publications

(10 citation statements)

References 46 publications

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“…Carrying out the quench perturbation theory proposed in [48], non-vanishing one-particle form factors inevitably lead to entanglement oscillations at first order in perturbation theory. As observed in [46,49] the dynamics of entanglement is closely tied to the dynamics of the one-point function of the order parameter. Indeed, oscillations of the one-point function of the order parameter in the sine-Gordon model, following a mass quench were found in [50] employing perturbation theory.…”

Section: Application: Entanglement Oscillations After a Mass Quenchmentioning

confidence: 81%

Branch point twist field form factors in the sine-Gordon model I: Breather fusion and entanglement dynamics

Castro-Alvaredo

Horváth

2021

SciPost Phys.

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The quantum sine-Gordon model is the simplest massive interacting integrable quantum field theory whose two-particle scattering matrix is generally non-diagonal. As such, it is a model that has been extensively studied, especially in the context of the bootstrap program. In this paper we compute low particle-number form factors of a special local field known as the branch point twist field, whose correlation functions are building blocks for measures of entanglement. We consider the attractive regime where the theory possesses a particle spectrum consisting of a soliton, an antisoliton (of opposite U(1) charges) and several (neutral) breathers. In the breather sector we exploit the fusion procedure to compute form factors of heavier breathers from those of lighter ones. We apply our results to the study of the entanglement dynamics after a small mass quench and for short times. We show that in the presence of two or more breathers the von Neumann and Rényi entropies display undamped oscillations in time, whose frequencies are proportional to the even breather masses and whose amplitudes are proportional to the breather's one-particle form factor.

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Section: Application: Entanglement Oscillations After a Mass Quenchmentioning

confidence: 81%

Branch point twist field form factors in the sine-Gordon model I: Breather fusion and entanglement dynamics

Castro-Alvaredo

Horváth

2021

SciPost Phys.

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“…We used this observation to find a closed-form expression for the slope of Rényi entropies in integrable relativistic quantum field theories, going beyond what is currently achievable by known approaches such as form factor expansions [81,[100][101][102]. Moreover, we argued that this expression can be directly extended to all TBA integrable models.…”

Section: Discussionmentioning

confidence: 99%

Growth of Rényi Entropies in Interacting Integrable Models and the Breakdown of the Quasiparticle Picture

Bertini,

Klobas,

Alba

et al. 2022

Preprint

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V. Slope of Rényi entropies in generic TBA-integrable models 8 A. Free fermions 9 B. Von Neumann 9 C. Rule 54 9 D. XXZ model 10 VI. Discussion 11 A. Eq. (57) and the Quasiparticle Picture 12 B. Finite Subsystems 13 C. Future Perspectives 14 Acknowledgments 14 A. Fixed points as stationary density matrices 15 B. Partially decoupled form of (58) and (60) 15 C. TBA equations for XXZ 15 D. Details on the iTEBD simulations 16 References 16

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“…It has already been found, especially in numerical simulations, that, in a large number of chaotic systems, the growth of the entanglement entropy is always linear followed by a saturation, see e.g. [41,[211][212][213][214][215][216][217][218]. This behaviour is the same as the one found in the quasiparticle picture, that, anyhow, cannot be the working principle here because the quasiparticles are unstable or do not exist at all.…”

Section: Towards Chaotic Systems: Scrambling and Prethermalisationmentioning

confidence: 67%

Entanglement spreading in non-equilibrium integrable systems

Calabrese

2020

SciPost Phys. Lect. Notes

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These are lecture notes for a short course given at the Les Houches Summer School on ``Integrability in Atomic and Condensed Matter Physics'', in summer 2018. Here, I pedagogically discuss recent advances in the study of the entanglement spreading during the non-equilibrium dynamics of isolated integrable quantum systems. I first introduce the idea that the stationary thermodynamic entropy is the entanglement accumulated during the non-equilibrium dynamics and then join such an idea with the quasiparticle picture for the entanglement spreading to provide quantitive predictions for the time evolution of the entanglement entropy in arbitrary integrable models, regardless of the interaction strength.

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Relaxation and entropy generation after quenching quantum spin chains

Cited by 10 publications

References 46 publications

Branch point twist field form factors in the sine-Gordon model I: Breather fusion and entanglement dynamics

Branch point twist field form factors in the sine-Gordon model I: Breather fusion and entanglement dynamics

Growth of Rényi Entropies in Interacting Integrable Models and the Breakdown of the Quasiparticle Picture

Entanglement spreading in non-equilibrium integrable systems

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