# Kibble–Zurek mechanism in the Ising Field Theory

### Submission summary

 As Contributors: Márton Kormos Preprint link: scipost_202007_00061v2 Date accepted: 2020-09-29 Date submitted: 2020-09-11 17:48 Submitted by: Kormos, Márton Submitted to: SciPost Physics Academic field: Physics Specialties: Quantum Physics Approaches: Theoretical, Computational

### Abstract

The Kibble-Zurek mechanism captures universality when a system is driven through a continuous phase transition. Here we study the dynamical aspect of quantum phase transitions in the Ising Field Theory where the quantum critical point can be crossed in different directions in the two-dimensional coupling space leading to different scaling laws. Using the Truncated Conformal Space Approach, we investigate the microscopic details of the Kibble-Zurek mechanism in terms of instantaneous eigenstates in a genuinely interacting field theory. For different protocols, we demonstrate dynamical scaling in the non-adiabatic time window and provide analytic and numerical evidence for specific scaling properties of various quantities. In particular, we argue that the higher cumulants of the excess heat exhibit universal scaling in generic interacting models for a slow enough ramp.

Published as SciPost Phys. 9, 055 (2020)

Dear Editor,

The three referee reports were quite positive, and based on them we were asked to perform minor revisions of our manuscript. All the three reports raised valid and interesting points. We think we gave detailed answers to their questions, and we believe that our paper has improved considerably by the modifications done based on their comments and questions. We hope that our manuscript is now suitable for publication.

Yours sincerely,
Kristóf Hódsági and Márton Kormos

### List of changes

- In order to highlight our key results more clearly, we expanded the Abstract and modified the Conclusions.

- To avoid unnecessary or unclear references to CFT, we expanded and partially rewrote Sec. 2.2 that outlines the model. Fig. 2.1 has also changed slightly.

- In Sec. 2.2 now we describe the various quench protocols more precisely, eliminating previous inconsistencies.

- We included the masses of the single-particle states of the $E_8$ model (see Eq. (2.15)) and commented on its exact S-matrix, citing the relevant references.

- We merged the two concluding paragraphs of Sec. 2.3.1 with the concluding paragraph of Sec. 3.2.

- We added a paragraph to the Conclusions discussing possible experiments with cold atomic gases and Rydberg atoms in which our predictions could be investigated.

### Submission & Refereeing History

Resubmission scipost_202007_00061v2 on 11 September 2020
Submission scipost_202007_00061v1 on 31 July 2020

## Reports on this Submission

### Report

The authors have properly addressed all points. The manuscript can be accepted.

• validity: -
• significance: -
• originality: -
• clarity: -
• formatting: -
• grammar: -

### Report

The authors have addressed the issues I raised, and I am satisfied with the changes. I recommend the new version for publication.

• validity: -
• significance: -
• originality: -
• clarity: -
• formatting: -
• grammar: -