Quantum dynamical maps and Markovianity

Details Quantum dynamical maps and Markovianity Quantum dynamical maps and Markovianity

2011-04-23

arxiv.org/abs/1104.4566v1

Physics

Quantum Physics

4 pages, 1 eps figure, RevTex

Scientific paper

It is known that the time evolution of a subsystem from an initial state to two later times, t1, t2 (t2 > t1), are both completely positive (CP) but it is shown here that in the intermediate times between t1 and t2, in general, it need not be CP. This reveals the key to the Markov (if CP) and nonMarkov (if NCP) avataras of the intermediate dynamics. This is brought out based on A and B dynamical maps - without resorting to Master equation approach. The choice of tensor product form for the global initial state points towards the system-environment interaction dynamics as the sole cause for Markovianity/non-Markovianity. A succinct summary of the results is given in the form of a table.

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