论文标题
量子式电流定理的量子对应于费米子系统
Quantum counterpart of energy equipartition theorem for fermionic systems
论文作者
论文摘要
在这份简短的报告中，在最新的关于开放系统的经典能量电气定理的量子类似物的发展之后，热浴由独立振荡器组成，即自由度，我们呈现了对费赛系统的类似结果。考虑到系统连接到多个储层的最一般情况，并且在稳态中的平均能量表示为在储层频率上的积分。从物理上讲，这将对应于对系统参数取决于系统参数的合适分布函数$ρ（ω）$ bath自由度对系统平均能量的贡献的总结。即使在远离平衡的非线性状态下，该结果也适用于非平衡稳态。我们还分析了零温度行为和对系统平均能量的低温校正。
In this brief report, following the recent developments on formulating a quantum analogue of the classical energy equipartition theorem for open systems where the heat bath comprises of independent oscillators, i.e. bosonic degrees of freedom, we present an analogous result for fermionic systems. The most general case where the system is connected to multiple reservoirs is considered and the mean energy in the steady state is expressed as an integral over the reservoir frequencies. Physically this would correspond to summing over the contributions of the bath degrees of freedom to the mean energy of the system over a suitable distribution function $ρ(ω)$ dependent on the system parameters. This result holds for nonequilibrium steady states, even in the nonlinear regime far from equilibrium. We also analyze the zero temperature behaviour and low temperature corrections to the mean energy of the system.
