Non-Markovian behavior of small and large complex quantum systems
arXiv:1104.5263 · doi:10.1103/PhysRevLett.107.080404
Abstract
The channel induced by a complex system interacting strongly with a qubit is calculated exactly under the assumption of randomness of its eigenvectors. The resulting channel is represented as an isotropic time dependent oscillation of the Bloch ball, leading to non-Markovian behavior, even in the limit of infinite environments. Two contributions are identified: one due to the density of states and the other due to correlations in the spectrum. Prototype examples, one for chaotic and the other for regular dynamics are explored.
7 pages, 4 figures. Version 2 is closer to what was published. In particular, a typo in Eq. (8) and in Wg([2^2]) at ref 11 were fixed. Other very minor corrections were done as well
References in corpus (4)
Cited by in corpus (53)
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