title: General non-Markovian dynamics of open quantum systems.
abstract: 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.
authors.affiliation: Department of Physics, National Cheng Kung University, Tainan 70101, Taiwan. wzhang@mail.ncku.edu.tw
authors.forename: Wei-Min
authors.initials: WM
authors.lastname: Zhang
authors.forename: Ping-Yuan
authors.initials: PY
authors.lastname: Lo
authors.forename: Heng-Na
authors.initials: HN
authors.lastname: Xiong
authors.forename: Matisse Wei-Yuan
authors.initials: MW
authors.lastname: Tu
authors.forename: Franco
authors.initials: F
authors.lastname: Nori