Entanglement asymmetry in periodically driven quantum systems
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 o...
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2025-08-01
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| author | Tista Banerjee, Suchetan Das, Krishnendu Sengupta |
| author_facet | Tista Banerjee, Suchetan Das, Krishnendu Sengupta |
| author_sort | Tista Banerjee, Suchetan Das, Krishnendu Sengupta |
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| description | 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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| institution | Kabale University |
| issn | 2542-4653 |
| language | English |
| publishDate | 2025-08-01 |
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| spelling | doaj-art-bda577fd475247bba24b47be4034cdbd2025-08-21T09:36:20ZengSciPostSciPost Physics2542-46532025-08-0119205110.21468/SciPostPhys.19.2.051Entanglement asymmetry in periodically driven quantum systemsTista Banerjee, Suchetan Das, Krishnendu SenguptaWe 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.https://scipost.org/SciPostPhys.19.2.051 |
| spellingShingle | Tista Banerjee, Suchetan Das, Krishnendu Sengupta Entanglement asymmetry in periodically driven quantum systems SciPost Physics |
| title | Entanglement asymmetry in periodically driven quantum systems |
| title_full | Entanglement asymmetry in periodically driven quantum systems |
| title_fullStr | Entanglement asymmetry in periodically driven quantum systems |
| title_full_unstemmed | Entanglement asymmetry in periodically driven quantum systems |
| title_short | Entanglement asymmetry in periodically driven quantum systems |
| title_sort | entanglement asymmetry in periodically driven quantum systems |
| url | https://scipost.org/SciPostPhys.19.2.051 |
| work_keys_str_mv | AT tistabanerjeesuchetandaskrishnendusengupta entanglementasymmetryinperiodicallydrivenquantumsystems |