在边界驱动的量子对称简单包含过程中,密度波动的偏差很大
Denis Bernard1, Tony Jin2, Stefano Scopa1
1l'École Normale Superieure, Laboratoire de Physique de , CNRS, ENS & Université PSL, Sorbonne Université, Université Paris Cité, Paris 75005, France.
Physical review. E
|October 21, 2025
概括
我们表明,量子对称简单包含过程 (QSSIP) 和量子对称简单排除过程 (QSSEP) 中的两点函数的动态相吻合,尽管粒子统计学存在差异. 两个系统中的局部密度波动都表现出经典的行为.
科学领域:
- 统计力学就是统计力学.
- 量子多体系统是一个量子多体系统.
- 非平衡物理学的物理学.
背景情况:
- 量子对称简单纳入过程 (QSSIP) 模型的玻色子粒子具有随机跳跃和边界驱动的收益/损失.
- 量子对称简单排除过程 (QSSEP) 是一个类似的费米子系统.
- 像SSEP和SSIP这样的经典模型不同,原因是玻色子统计允许每个地点有多个粒子.
研究的目的:
- 调查边界驱动的QSSIP的动态和波动.
- 为了比较QSSIP的动态与其离子对应物QSSEP.
- 在QSSIP和经典SSIP中导出密度波动的大偏差函数.
主要方法:
- 对边界驱动的QSSIP进行分析.
- 在QSSIP和QSSEP之间比较两点函数动态.
- 使用量子公式,精确推导密度波动的大偏差函数.
- 对局部密度的累积生成函数的研究.
主要成果:
- 对于QSSIP和QSSEP,两点函数的动态及其波动是一致的,尽管粒子统计数据不同.
- 在QSSIP和经典SSIP中提供密度波动的大偏差函数的精确导数.
- 在QSSIP和QSSEP中,局部密度波动被证明是典型的经典波动,与经典SSEP和SSIP的波动趋同.
结论:
- 这项研究揭示了量子玻色子和费米子系统关于两点函数的动态的惊人巧合.
- 这项研究提供了一种方法来导出相关的古典系统中的大偏差函数.
- 这项工作支持了在杂的扩散量子多体系统中经典运输波动的猜测.
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