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Entanglement asymmetry in periodically driven quantum systems
by Tista Banerjee, Suchetan Das and Krishnendu Sengupta
Submission summary
| Authors (as registered SciPost users): | Krishnendu Sengupta |
| Submission information | |
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| Preprint Link: | scipost_202412_00038v2 (pdf) |
| Date submitted: | 2025-04-07 10:54 |
| Submitted by: | Sengupta, Krishnendu |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We study the dynamics of entanglement asymmetry in periodically driven quantum systems. Using a periodically driven XY chain as a model for a driven integrable quantum system, we provide semi-analytic results for the behavior of the dynamics of the entanglement asymmetry, $\Delta S$, as a function of the drive frequency. Our analysis identifies special drive frequencies at which the driven XY chain exhibits dynamic symmetry restoration and displays quantum Mpemba effect over a long timescale; we identify an emergent approximate symmetry in its Floquet Hamiltonian which plays a crucial role for realization of both these phenomena. We follow these results by numerical computation of $\Delta S$ for the non-integrable driven Rydberg atom chain and obtain similar emergent-symmetry-induced symmetry restoration and quantum Mpemba effect in the prethermal regime for such a system. Finally, we provide an exact analytic computation of the entanglement asymmetry for a periodically driven conformal field theory (CFT) on a strip. Such a driven CFT, depending on the drive amplitude and frequency, exhibits two distinct phases, heating and non-heating, that are separated by a critical line. Our results show that for $m$ cycles of a periodic drive with time period $T$, $\Delta S \sim \ln mT$ [$\ln (\ln mT)$] in the heating phase [on the critical line] for a generic CFT; in contrast, in the non-heating phase, $\Delta S$ displays small amplitude oscillations around it's initial value as a function of $mT$. We provide a phase diagram for the behavior of $\Delta S$ for such driven CFTs as a function of the drive frequency and amplitude
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Author comments upon resubmission
We resubmit as response to the comments by both the referees on our original submission.
All the changes from the earlier version in the main body of the manuscript is colored blue.
Your sincerely
Krishnendu Sengupta
on behalf of
Tista Banerjee, Suchetan Das, and Krishnendu Sengupta
List of changes
1) We have added a discussion in Sec 4 as response to second comment of Ref 1.
2) We have added a paragraph in the Introduction in response to first comment of Ref 1.
3) We have corrected a typo in Eq 38 of the draft in response to comment 4 of Ref 2
4) We have added Ref 27 in response to comment 5 of Ref 2.
5) We have added a clarification regarding computation of the CFT dynamics in Sec 4.