多步Pontus- Mpemba协议的最优加速
Optimal speed-up of multi-step Pontus-Mpemba protocols
AI总结：
研究多步Pontus-Mpemba协议在开放量子系统中的最优加速机制，分析准静态与突突淬火 regime 的过渡，揭示动态生成的快捷方式及非马尔可夫行为。
摘要：
经典Mpemba效应是反直觉现象，即热水比冷水更快冻结，因突突温度淬火后牛顿冷却定律失效。真正的非平衡淬火后动态允许系统沿有效快捷方式演化，而准静态 regime 中不存在。当考虑准备 hotter 初始状态所需时间时，会出现所谓的Pontus-Mpemba效应。本文研究了开放量子系统中多步Pontus-Mpemba协议，其动态由非自主（即时间非均匀）Lindblad主方程支配。在无限多步骤极限下，得到连续Pontus-Mpemba协议。研究准静态与突突淬火 regime 的过渡，展示动态生成的快捷方式在时间依赖的耗散率下存在。考虑两参数时间依赖率家族，确定允许最优加速条件的参数。时间依赖率也可导致非马尔可夫行为，突出马尔可夫框架外丰富的动态 regime。
英文摘要：
The classical Mpemba effect is the counterintuitive phenomenon where hotter water freezes faster than colder water due to the breakdown of Newton's law of cooling after a sudden temperature quench. The genuine nonequilibrium post-quench dynamics allows the system to evolve along effective shortcuts absent in the quasi-static regime. When the time needed for preparing the (classical or quantum) system in the hotter initial state is included, we encounter so-called Pontus-Mpemba effects. We here investigate multi-step Pontus-Mpemba protocols for open quantum systems whose dynamics is governed by non-autonomous (aka time-inhomogeneous) Lindblad master equations. In the limit of infinitely many steps, one arrives at continuous Pontus-Mpemba protocols. We study the crossover between the quasi-static and the sudden-quench regime, showing the presence of dynamically generated shortcuts achieved for time-dependent dissipation rates. Considering a two-parameter family of time-dependent rates, the parameters allowing for optimal speed-up conditions are determined. Time-dependent rates can also cause non-Markovian behavior, highlighting the existence of rich dynamical regimes accessible beyond the Markovian framework.
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