TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.19.2.051
TI  - Entanglement asymmetry in periodically driven quantum systems
PY  - 2025/08/21
UR  - https://scipost.org/SciPostPhys.19.2.051
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 19
IS  - 2
SP  - 051
A1  - Banerjee, Tista
AU  - Das, Suchetan
AU  - Sengupta, Krishnendu
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.19.2.051,
	title={{Entanglement asymmetry in periodically driven quantum systems}},
	author={Tista Banerjee and Suchetan Das and Krishnendu Sengupta},
	journal={SciPost Phys.},
	volume={19},
	pages={051},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.19.2.051},
	url={https://scipost.org/10.21468/SciPostPhys.19.2.051},
}