发表机构
Steklov Mathematical Institute of Russian Academy of Sciences（俄罗斯科学院斯捷克洛夫数学研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究揭示玻色子热输运中，平均热流相同但碰撞统计不同的储层可产生超热关联，并推导了精确聚束定律及热累积量渐近速率。
AI 中文摘要
具有相同平均弛豫率的储层在平均能量输运层面上可能无法区分，但会产生不同的涨落。我们研究了一个玻色子模式，通过有限的束分裂碰撞与热辅助量子比特的热和冷泊松流耦合。平均演化是由有限高斯事件通道生成的复合泊松半群。其非平衡稳态是由随机仿射不动点控制的热态的精确混合。因此，平均占据动力学和浴分辨的平均热流与匹配的连续林德布拉德储层一致，而高阶关联保留了碰撞强度。对于相等的碰撞透射率，我们推导了一个由温度对比度和碰撞强度控制的精确超热聚束定律。我们还获得了理想平稳事件分辨两点测量记录的前两个热累积量的渐近速率，并将局部单碰撞贡献与时间关联分开。福克空间对角化和蒙特卡洛轨迹验证了这些公式，并将完全重置与弱碰撞高斯极限联系起来。
英文摘要
Reservoirs with the same mean relaxation rate can be indistinguishable at the level of average energy transport while producing different fluctuations. We study a bosonic mode coupled to hot and cold Poisson streams of thermal ancillas through finite beam-splitter collisions. The averaged evolution is a compound-Poisson semigroup generated by finite Gaussian event channels. Its nonequilibrium steady state is an exact mixture of thermal states governed by a random affine fixed point. Consequently, the mean-occupation dynamics and bath-resolved mean heat currents coincide with those of the matched continuous Lindblad reservoir, whereas higher correlations retain the collision strength. For equal collision transmissivities, we derive an exact superthermal bunching law controlled by the temperature contrast and collision strength. We also obtain the asymptotic rates of the first two heat cumulants for an ideal stationary event-resolved two-point-measurement record and separate local one-collision contributions from temporal correlations. Fock-space diagonalization and Monte Carlo trajectories validate the formulas and connect full resets to the weak-collision Gaussian limit.
Comments16 pages, 5 figures
