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Towards a theory of metastability in open quantum dynamics | Katarzyna Macieszczak
; Madalin Guta
; Igor Lesanovsky
; Juan P. Garrahan
; | Date: |
17 Dec 2015 | Abstract: | By generalising concepts from classical stochastic dynamics, we establish the
basis for a theory of metastability in Markovian open quantum systems. Partial
relaxation into long-lived metastable states - distinct from the asymptotic
stationary state - is a manifestation of a separation of timescales due to a
splitting in the spectrum of the generator of the dynamics. We show here how to
exploit this spectral structure to obtain a low dimensional approximation to
the dynamics in terms of motion in a manifold of metastable states constructed
from the low-lying eigenmatrices of the generator. We argue that the metastable
manifold is in general composed of disjoint states, noiseless subsystems and
decoherence-free subspaces. | Source: | arXiv, 1512.5801 | Services: | Forum | Review | PDF | Favorites |
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