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A sharp transition in quantum chaos and thermodynamics of mass deformed SYK model
by Tomoki Nosaka
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Submission summary
| Authors (as registered SciPost users): | Tomoki Nosaka |
| Submission information | |
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| Preprint Link: | scipost_202010_00024v1 (pdf) |
| Date submitted: | 2020-10-23 17:39 |
| Submitted by: | Nosaka, Tomoki |
| Submitted to: | SciPost Physics Proceedings |
| Proceedings issue: | 4th International Conference on Holography, String Theory and Discrete Approach in Hanoi (STRHAN2020) |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We review our recent work [arXiv:2009.10759] where we studied the chaotic property of the two coupled Sachdev-Ye-Kitaev systems exhibiting a Hawking-Page like phase transition. By computing the out-of-time-ordered correlator in the large N limit by using the bilocal field formalism, we found that the chaos exponent of this model shows a discontinuous fall-off at the phase transition temperature. Hence in this model the Hawking-Page like transition is correlated with a transition in chaoticity, as expected from the relation between a black hole geometry and the chaotic behavior in the dual field theory.
Current status:
Reports on this Submission
Report #1 by Anonymous (Referee 2) on 2020-11-16 (Invited Report)
- Cite as: Anonymous, Report on arXiv:scipost_202010_00024v1, delivered 2020-11-16, doi: 10.21468/SciPost.Report.2195
Report
The author presented a nice review of his research work published earlier. The motivation and the set-up of the research were stated concisely. Given the limited space, the author presented the result of his work with the aid of plots in an effective way.
As this is a review article, one suggestion which might benefit the readers is to focus on the explanation of physics a bit more. For example, the discussion (page 4) about the phase diagram with respect to the temperature and the coupling ($\mu$) is very interesting but somewhat limited. A slightly more elaborated discussion or explanation about the physics or implication behind the result would definitely be welcome.
The review is interesting and well written.
Requested changes
1- Just a small typo. On page 2, 9th line below equation (2), it should read "exhibits" instead of "exhibis".
2- Please state the definition of $\left\langle \dots \right\rangle_{ J_\alpha}$ in equation 7. (I presume it refers to disorder average discussed in the first paragraph of section 2 but a clear definition would be helpful.)
3-Similarly for equation 12, it is helpful to define the meaning of expectation value. (Thermal average etc.)