Dynamics of entanglement fluctuations and quantum Mpemba effect in the $ν=1$ QSSEP model

• URL: http://arxiv.org/abs/2510.25519v1
• Date: Wed, 29 Oct 2025 13:42:57 GMT
• Title: Dynamics of entanglement fluctuations and quantum Mpemba effect in the $ν=1$ QSSEP model
• Authors: Angelo Russotto, Filiberto Ares, Pasquale Calabrese, Vincenzo Alba,
• Abstract summary: We study the out-of-equilibrium dynamics of entanglement fluctuations in the $nu$ Quantum Symmetric Simple Exclusion Process.<n>By incorporating the noise-induced statistical correlations between the quasiparticles, we extend this description to the full-time probability distribution of the entanglement entropy.
• Score: 0.13999481573773073
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the out-of-equilibrium dynamics of entanglement fluctuations in the $\nu=1$ Quantum Symmetric Simple Exclusion Process, a free-fermion chain with hopping amplitudes that are stochastic in time but homogeneous in space. Previous work showed that the average entanglement growth after a quantum quench can be explained in terms of pairs of entangled quasiparticles performing random walks, leading to diffusive entanglement spreading. By incorporating the noise-induced statistical correlations between the quasiparticles, we extend this description to the full-time probability distribution of the entanglement entropy. Our generalized quasiparticle picture allows us to compute the average time evolution of a generic function of the reduced density matrix of a subsystem. We also apply our result to the entanglement asymmetry. This allows us to investigate the restoration of particle-number symmetry in the dynamics from initial states with no well-defined particle number, and the emergence of the quantum Mpemba effect.

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