Dynamics of entanglement fluctuations and quantum Mpemba effect in the $ν=1$ QSSEP model
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866909026286043136 |
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| author | Russotto, Angelo Ares, Filiberto Calabrese, Pasquale Alba, Vincenzo |
| author_facet | Russotto, Angelo Ares, Filiberto Calabrese, Pasquale Alba, Vincenzo |
| contents | We study the out-of-equilibrium dynamics of entanglement fluctuations in the $ν=1$ 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. Regarding the possible existence of the quantum Mpemba effect, our analysis indicates that its occurrence is an extremely fine-tuned phenomenon, requiring very specific conditions and therefore being rather difficult to observe in practice. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_25519 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamics of entanglement fluctuations and quantum Mpemba effect in the $ν=1$ QSSEP model Russotto, Angelo Ares, Filiberto Calabrese, Pasquale Alba, Vincenzo Statistical Mechanics Quantum Physics We study the out-of-equilibrium dynamics of entanglement fluctuations in the $ν=1$ 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. Regarding the possible existence of the quantum Mpemba effect, our analysis indicates that its occurrence is an extremely fine-tuned phenomenon, requiring very specific conditions and therefore being rather difficult to observe in practice. |
| title | Dynamics of entanglement fluctuations and quantum Mpemba effect in the $ν=1$ QSSEP model |
| topic | Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2510.25519 |