On the conundrum of deriving exact solutions from approximate master equations
arXiv:0707.3938 · doi:10.1016/j.chemphys.2007.09.003
Abstract
We derive the exact time-evolution for a general quantum system under the influence of pure phase-noise and demonstrate that for a Gaussian initial state of the bath, the exact result can be obtained also within a perturbative time-local master equation approach already in second order of the system-bath coupling strength. We reveal that this equivalence holds if the initial state of the bath can be mapped to a Gaussian phase-space distribution function. Moreover, we discuss the relation to the standard Bloch-Redfield approach.
7 pages; revised version; to appear in Chem. Phys
References in corpus (5)
- Driven quantum transport on the nanoscale
- Non-Markovian dynamics in a spin star system: Exact solution and approximation techniques
- Non-Markovian dynamics of a qubit coupled to an Ising spin bath
- Incomplete pure dephasing of N-qubit entangled W states
- Dynamics of decoherence without dissipation in a squeezed thermal bath