Anomalous diffusion in quantum system driven by heavy-tailed stochastic processes
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866912182515531776 |
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| author | Guo, Chenyue Bi, Yuchen |
| author_facet | Guo, Chenyue Bi, Yuchen |
| contents | In this paper, we study a stochastically driven non-equilibrium quantum system where the driving protocols consist of hopping and waiting processes. The waiting times between two hopping processes satisfy a heavy-tailed distribution. By calculating the squared width of the wavepackets, our findings demonstrate the emergence of various anomalous transport phenomena when the system remains unchanged within the heavy-tailed regime, including superdiffusive, subdiffusive, and standard diffusive motion. Only subdiffusion occurs when the system has evolved during the waiting process. All these transport behaviors are accompanied by a breakdown of ergodicity, highlighting the complex dynamics induced by the stochastic driving mechanism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_19489 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Anomalous diffusion in quantum system driven by heavy-tailed stochastic processes Guo, Chenyue Bi, Yuchen Strongly Correlated Electrons Statistical Mechanics Quantum Physics In this paper, we study a stochastically driven non-equilibrium quantum system where the driving protocols consist of hopping and waiting processes. The waiting times between two hopping processes satisfy a heavy-tailed distribution. By calculating the squared width of the wavepackets, our findings demonstrate the emergence of various anomalous transport phenomena when the system remains unchanged within the heavy-tailed regime, including superdiffusive, subdiffusive, and standard diffusive motion. Only subdiffusion occurs when the system has evolved during the waiting process. All these transport behaviors are accompanied by a breakdown of ergodicity, highlighting the complex dynamics induced by the stochastic driving mechanism. |
| title | Anomalous diffusion in quantum system driven by heavy-tailed stochastic processes |
| topic | Strongly Correlated Electrons Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2407.19489 |