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Non-Hermitian Quantum Quenches in Holography

by Sergio Morales-Tejera, Karl Landsteiner

Submission summary

As Contributors: Karl Landsteiner · Sergio Morales-Tejera
Arxiv Link: https://arxiv.org/abs/2203.02524v2 (pdf)
Date accepted: 2022-09-27
Date submitted: 2022-09-12 10:49
Submitted by: Morales-Tejera, Sergio
Submitted to: SciPost Physics
Academic field: Physics
Specialties:
  • High-Energy Physics - Theory

Abstract

The notion of non-Hermitian PT symmetric quantum theory has recently been generalized to the gauge/gravity duality. We study the evolution of such non-Hermitian holographic field theories when the couplings are varied with time with particular emphasis on the question non-unitary time vs. unitary time evolution. We show that a non-unitary time evolution in the dual quantum theory corresponds to a violation of the Null Energy Condition (NEC) in the bulk of the asymptotically AdS spacetime. We find that upon varying the non-Hermitian coupling the horizon of a bulk AdS black hole shrinks. On the other hand varying the Hermitian coupling in the presence of a constant non-Hermitian coupling still violates the NEC but results in a growing horizon. We also show that by introducing a non-Hermitian gauge field the time evolution can be made unitary, e.g. the NEC in the bulk is obeyed, and an exactly equivalent purely Hermitian description can be given.

Current status:
Publication decision taken: accept

Editorial decision: For Journal SciPost Physics: Publish
(status: Editorial decision fixed and (if required) accepted by authors)



List of changes

Appendix on discrete symmetries added. Discussion regarding the event horizon added.


Reports on this Submission

Anonymous Report 2 on 2022-9-26 (Invited Report)

Report

In response to my query the authors have raised a potential issue about the validity of numerical approaches based on integrating just past the apparent horizon when NEC is violated. The authors have stressed that this requires a careful treatment. I think it is important that this has been highlighted for future analyses.

I recommend publication.

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Anonymous Report 1 on 2022-9-21 (Invited Report)

Report

The authors have addressed my request. I recommend that the paper be published.

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  • significance: -
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