Description of quantum dynamics of open systems based on collision-like models

Details Description of quantum dynamics of open systems based on collision-like models Description of quantum dynamics of open systems based on collision-like models

2004-10-21

arxiv.org/abs/quant-ph/0410161v1

Open systems and information dynamics 12, No.1, pp. 81-91 (2005)

Physics

Quantum Physics

7pages, 3figures, to appear in Open Systems and Information Dynamics

Scientific paper

Master equations in the Lindblad form describe evolution of open quantum systems that is completely positive and simultaneously has a semigroup property. We analyze a possibility to derive this type of master equations from an intrinsically discrete dynamics that is modelled as a sequence of collisions between a given quantum system (a qubit) with particles that form the environment. In order to illustrate our approach we analyze in detail how a process of an exponential decay and a process of decoherence can be derived from a collision-like model in which particular collisions are described by SWAP and controlled-NOT interactions, respectively.

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