AI 中文总结
该研究在量子碰撞模型框架下，推导非马尔可夫热库的交换涨落定理，发现非马尔可夫记忆可提升逆温度梯度传热概率，建立环境记忆与非平衡热交换统计的微观联系。
AI 中文摘要
量子交换涨落定理关联了不同温度热库间沿温度梯度和逆温度梯度传热的概率。我们研究当热库呈现非马尔可夫动力学时该关系的推广形式。采用微观碰撞模型，热库记忆通过每次热交换碰撞前连续热库辅助粒子间的相互作用产生。我们推导了稳态下直接热库-热库相互作用及探针介导热交换的交换涨落定理。作为示例，我们考虑具有量子比特辅助粒子的热库，表明非马尔可夫记忆会提升逆温度梯度传热事件的概率，修正传统Jarzynski-Wójcik交换涨落定理的预测。我们的结果建立了环境记忆与非平衡热交换统计之间的微观联系。
英文摘要
The quantum exchange fluctuation theorem relates the probabilities of observing heat transfer along and against the temperature gradient between thermal baths at different temperatures. We investigate how this relation generalizes when the baths exhibit non-Markovian dynamics. Using a microscopic collisional model, bath memory is generated through interactions between successive bath auxiliaries before each heat-exchange collision. We derive exchange fluctuation theorems for both direct bath-bath interactions and probe-mediated heat exchange in the steady-state regime. As an illustrative example, we consider heat baths with qubit auxiliaries and show that non-Markovian memory enhances the probability of heat-transfer events against the temperature gradient, modifying the predictions made by the conventional Jarzynski-Wójcik exchange fluctuation theorem. Our results establish a microscopic connection between environmental memory and non-equilibrium heat-exchange statistics.
Comments11 pages, 4 figures
