Anomalous diffusion in quantum system driven by heavy-tailed stochastic processes

• URL: http://arxiv.org/abs/2407.19489v2
• Date: Mon, 23 Sep 2024 15:38:46 GMT
• Title: Anomalous diffusion in quantum system driven by heavy-tailed stochastic processes
• Authors: Chenyue Guo,
• Abstract summary: We study a non-equilibrium quantum system where the driving protocols consist of hopping and waiting processes. By calculating the squared width of the wavepackets, our findings demonstrate the emergence of various anomalous transport phenomenons.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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 phenomenons 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.

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