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Quench dynamics of the Ising field theory in a magnetic field

by Kristóf Hódsági, Márton Kormos, Gábor Takács

Submission summary

As Contributors: Márton Kormos
Arxiv Link: (pdf)
Date accepted: 2018-09-19
Date submitted: 2018-08-04 02:00
Submitted by: Kormos, Márton
Submitted to: SciPost Physics
Discipline: Physics
Subject area: Quantum Physics
Approach: Theoretical


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 based on form factor expansions in the pre-quench and post-quench basis, respectively. Our results clarify the domain of validity of these expansions and suggest directions for further improvement. We show for quenches in the $E_8$ model that the initial state is not of the integrable pair state form. We also construct quench overlap functions and show that their high-energy asymptotics are markedly different from those constructed before in the sinh/sine-Gordon theory, and argue that this is related to properties of the ultraviolet fixed point.

Ontology / Topics

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E$_8$ integrable field theory Ising field theory Ising model Quantum quenches Truncated conformal space approach (TCSA) Ultraviolet (UV) fixed points sine-Gordon model sinh-Gordon model

Published as SciPost Phys. 5, 027 (2018)

Author comments upon resubmission

Dear Editor,

We resubmit our manuscript after addressing all questions, comments and requests of the Referees. We found the reports very constructive and useful.

As both Referees suggested the publication of our manuscript, we hope that revised version can appear in SciPost Physics.

Yours sincerely,
The authors

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