Description of Quantum Dynamics of Open Systems Based on Collision-Like Models

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Authors

ZIMAN Mário ŠTELMACHOVIČ Peter BUŽEK Vladimír

Year of publication 2005
Type Article in Periodical
Magazine / Source Open Systems & Information Dynamics
MU Faculty or unit

Faculty of Informatics

Citation
Field Theoretical physics
Keywords quantum dynamics; collision-like models
Description Master equations in the Lindblad form describe evolution of open quantum systems that are completely positive and simultaneously have a semigroup property. We analyze the 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 the process of an exponential decay and the 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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