摘要
Memory effects in quantum dynamical processes involving structured environments are presently difficult, if not impossible, to investigate using standard approaches. Progress can be made by transforming the environmental variables to a suitable chain representation which effectively performs a Markovian embedding of the dynamics. Here, we show that this effective-mode chain representation provides a unique way of unraveling the memory kernel kappa(t) as a function of time. Truncated or Markov-closed chains with n effective modes exactly reproduce kappa(t) to the 4nth order in time, up to an irrelevant constant of order kappa(0)/n. These favorable convergence properties pave the way for efficient quantum simulations of fast (non-Markovian) processes by reduced dynamical models.
- 出版日期2011-9-14