Department of Physics, National Cheng Kung University, Tainan 70101, Taiwan.
Phys Rev Lett. 2012 Oct 26;109(17):170402. doi: 10.1103/PhysRevLett.109.170402.
We present a general theory of non-Markovian dynamics for open systems of noninteracting fermions (bosons) linearly coupled to thermal environments of noninteracting fermions (bosons). We explore the non-Markovian dynamics by connecting the exact master equations with the nonequilibirum Green's functions. Environmental backactions are fully taken into account. The non-Markovian dynamics consists of nonexponential decays and dissipationless oscillations. Nonexponential decays are induced by the discontinuity in the imaginary part of the self-energy corrections. Dissipationless oscillations arise from band gaps or the finite band structure of spectral densities. The exact analytic solutions for various non-Markovian thermal environments show that non-Markovian dynamics can be largely understood from the environmental-modified spectra of open systems.
我们提出了一种用于非相互作用费米子（玻色子）线性耦合到非相互作用费米子（玻色子）热环境的开放系统的非马尔可夫动力学的一般理论。我们通过将精确的主方程与非平衡格林函数联系起来，来探索非马尔可夫动力学。环境的反作用被完全考虑在内。非马尔可夫动力学包括非指数衰减和无耗散振荡。非指数衰减是由自能修正的虚部不连续引起的。无耗散振荡则源于能带隙或谱密度的有限能带结构。各种非马尔可夫热环境的精确解析解表明，非马尔可夫动力学可以从开放系统的环境修正谱中得到很好的理解。
