Full Counting Statistics of Charge in Chaotic Many-Body Quantum Systems
Full Counting Statistics of Charge in Chaotic Many-Body Quantum Systems
复制标题
混沌多体量子系统中电荷的全面计数统计
DOI：
10.1103/physrevlett.131.210402
复制
发表时间：
2023
影响因子：
8.6
通讯作者：
Vasseur, Romain
中科院分区：
文献类型：
--
作者：
McCulloch, Ewan;De Nardis, Jacopo;Gopalakrishnan, Sarang;Vasseur, Romain
我们研究了 U(1) 对称随机酉电路中电荷传输的完整计数统计。我们考虑用系统左右半部之间的化学势不平衡制备的初始混合态，并研究典型电路中穿过中心键转移的电荷的波动。使用有效的复制统计力学模型和在大现场希尔伯特空间维度上有效的新兴经典随机过程的映射，我们表明电荷转移波动在很长一段时间内接近对称排斥过程的波动，并具有次领先的量子校正。我们在脉动流体动力学和经典非平衡系统的宏观涨落理论的背景下讨论我们的结果，并根据直接矩阵乘积状态计算检查我们的预测。
We investigate the full counting statistics of charge transport in U(1)-symmetric random unitary circuits. We consider an initial mixed state prepared with a chemical potential imbalance between the left and right halves of the system and study the fluctuations of the charge transferred across the central bond in typical circuits. Using an effective replica statistical mechanics model and a mapping onto an emergent classical stochastic process valid at large on-site Hilbert space dimension, we show that charge transfer fluctuations approach those of the symmetric exclusion process at long times, with subleadingquantum corrections. We discuss our results in the context of fluctuating hydrodynamics and macroscopic fluctuation theory of classical nonequilibrium systems and check our predictions against direct matrix-product state calculations.