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25 April 2024
 
  » arxiv » 1512.5801

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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
AbstractBy 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
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