Entangled multiplets, asymmetry, and quantum Mpemba effect in dissipative systems

Entangled multiplets, asymmetry, and quantum Mpemba effect in dissipative systems

21 Jun 2024 | Fabio Caceffo, Sara Murciano and Vincenzo Alba
The paper explores the entanglement asymmetry in dissipative systems, focusing on the $XX$ spin chain. The authors introduce a quasiparticle picture for the charged moments of the reduced density matrix, which are crucial for understanding the entanglement asymmetry. This picture is applicable to quenches producing entangled multiplets of an arbitrary number of excitations. They derive the dynamics of the charged moments using multidimensional stationary phase methods and benchmark their results in the $XX$ spin chain. The study also investigates the effect of gain and loss dissipation on the quantum Mpemba effect, showing that dissipation can induce this effect even when unitary dynamics does not. The authors provide a quasiparticle-based interpretation of the conditions for the Mpemba effect and discuss numerical benchmarks to support their findings.The paper explores the entanglement asymmetry in dissipative systems, focusing on the $XX$ spin chain. The authors introduce a quasiparticle picture for the charged moments of the reduced density matrix, which are crucial for understanding the entanglement asymmetry. This picture is applicable to quenches producing entangled multiplets of an arbitrary number of excitations. They derive the dynamics of the charged moments using multidimensional stationary phase methods and benchmark their results in the $XX$ spin chain. The study also investigates the effect of gain and loss dissipation on the quantum Mpemba effect, showing that dissipation can induce this effect even when unitary dynamics does not. The authors provide a quasiparticle-based interpretation of the conditions for the Mpemba effect and discuss numerical benchmarks to support their findings.
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