Geometry and restoration of the quantum Mpemba effect beyond weak-coupling regime in the spin-boson model
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| Main Authors: | , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866908897232551936 |
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| author | Chirico, P. Di Bello, G. De Filippis, G. Perroni, C. A. |
| author_facet | Chirico, P. Di Bello, G. De Filippis, G. Perroni, C. A. |
| contents | Understanding relaxation dynamics in open quantum systems is a central problem in nonequilibrium quantum physics. Here we investigate the quantum Mpemba effect in the spin-boson model. In the weak-coupling Markovian regime we show that the occurrence of the effect strongly depends on the choice of distance measure at low temperature: while it appears in the trace distance, it can disappear in the quantum relative entropy. Going beyond the weak-coupling approximation, numerically exact simulations of the full system-bath dynamics reveal that increasing coupling enhances the effect in the trace distance and restores it in the quantum relative entropy. For all spin-bath couplings prior to delocalized-localized quantum phase transition, we uncover a simple geometric structure of the effect on the Bloch sphere: within the excited-state hemisphere, pairs of states related by rotations generically exhibit relaxation-order inversion. These results highlight the role of geometry and system-environment correlations in anomalous quantum relaxation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_17565 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Geometry and restoration of the quantum Mpemba effect beyond weak-coupling regime in the spin-boson model Chirico, P. Di Bello, G. De Filippis, G. Perroni, C. A. Quantum Physics Mesoscale and Nanoscale Physics Understanding relaxation dynamics in open quantum systems is a central problem in nonequilibrium quantum physics. Here we investigate the quantum Mpemba effect in the spin-boson model. In the weak-coupling Markovian regime we show that the occurrence of the effect strongly depends on the choice of distance measure at low temperature: while it appears in the trace distance, it can disappear in the quantum relative entropy. Going beyond the weak-coupling approximation, numerically exact simulations of the full system-bath dynamics reveal that increasing coupling enhances the effect in the trace distance and restores it in the quantum relative entropy. For all spin-bath couplings prior to delocalized-localized quantum phase transition, we uncover a simple geometric structure of the effect on the Bloch sphere: within the excited-state hemisphere, pairs of states related by rotations generically exhibit relaxation-order inversion. These results highlight the role of geometry and system-environment correlations in anomalous quantum relaxation. |
| title | Geometry and restoration of the quantum Mpemba effect beyond weak-coupling regime in the spin-boson model |
| topic | Quantum Physics Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2603.17565 |