时间随机可积量子电路中的稀有历史转变
Rare-History Transitions in Temporally Random Integrable Quantum Circuits
- College of Physics Science and Technology, Hebei University（河北大学物理科学与技术学院）
- Chengdu Academy of Educational Sciences（成都市教育科学研究院）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文研究时间随机可积量子电路中的电流涨落，利用可交换性将历史约化为层组成，通过热力学贝特拟设和弹道涨落理论预测两种主导历史间的一阶切换，表明时间随机性可作为轨迹空间中的类序参量。
AI中文摘要：
我们研究了时间随机可积量子电路中的电流涨落。可交换性将每个驱动历史精确地约化为其层组成，将退火涨落转化为电流增益与稀有组成的大偏差代价之间的竞争。对于每个固定组成，均匀热力学贝特拟设 dressing 辅以弹道涨落理论，可给出条件电流统计。其退火大偏差收缩预测了两种主导历史类别之间的一阶切换，终止于规则尖点端点线上。有限时间分析展示了该切换如何被平滑化。因此，时间随机性可作为轨迹空间中涌现的类序参量坐标。
英文摘要：
We study current fluctuations in a temporally random integrable quantum circuit. Commutativity reduces every drive history exactly to its layer composition, turning annealed fluctuations into a competition between current gain and the large-deviation cost of rare compositions. For each fixed composition, homogeneous thermodynamic Bethe ansatz dressing supplemented by ballistic fluctuation theory yields the conditional current statistics. Their annealed large-deviation contraction predicts a first-order switch between two dominant history classes, terminating on a line of regular cusp endpoints. Finite-time analysis shows how the switch is rounded. Thus temporal randomness can act as an emergent order-parameter-like coordinate in trajectory space.
