From Markovian semigroup to non-Markovian quantum evolution
Institute of Physics, Nicolaus Copernicus University - Grudzia̧dzka 5/7, 87–100 Toruń, Poland, EU
Accepted: 9 December 2011
We provided a class of legitimate memory kernels leading to completely positive trace-preserving dynamical maps. Our construction is based on a simple normalization procedure. Interestingly, when applied to a classical system it gives rise to semi-Markov evolution. Therefore, it may be considered as a quantum version of semi-Markov dynamics which is much more general than Markovian dynamics.
PACS: 03.65.Yz – Decoherence; open systems; quantum statistical methods / 03.65.-w – Quantum mechanics / 42.50.Lc – Quantum fluctuations, quantum noise, and quantum jumps
© EPLA, 2012