Chaos and magic in the dissipative quantum kicked top
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915260384935936 |
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| author | Passarelli, Gianluca Lucignano, Procolo Rossini, Davide Russomanno, Angelo |
| author_facet | Passarelli, Gianluca Lucignano, Procolo Rossini, Davide Russomanno, Angelo |
| contents | We consider an infinite-range interacting quantum spin-1/2 model, undergoing periodic kicking and dissipatively coupled with an environment. In the thermodynamic limit, it is described by classical mean-field equations that can show regular and chaotic regimes. At finite size, we describe the system dynamics using stochastic quantum trajectories. We find that the asymptotic nonstabilizerness (alias the magic, a measure of quantum complexity), averaged over trajectories, mirrors to some extent the classical chaotic behavior, while the entanglement entropy has no relation with chaos in the thermodynamic limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_16585 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Chaos and magic in the dissipative quantum kicked top Passarelli, Gianluca Lucignano, Procolo Rossini, Davide Russomanno, Angelo Quantum Physics We consider an infinite-range interacting quantum spin-1/2 model, undergoing periodic kicking and dissipatively coupled with an environment. In the thermodynamic limit, it is described by classical mean-field equations that can show regular and chaotic regimes. At finite size, we describe the system dynamics using stochastic quantum trajectories. We find that the asymptotic nonstabilizerness (alias the magic, a measure of quantum complexity), averaged over trajectories, mirrors to some extent the classical chaotic behavior, while the entanglement entropy has no relation with chaos in the thermodynamic limit. |
| title | Chaos and magic in the dissipative quantum kicked top |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2406.16585 |