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Towards a theory of metastability in open quantum dynamics

Macieszczak, Katarzyna; Guţă, Mădălin; Lesanovsky, Igor; Garrahan, Juan P.

Authors

Katarzyna Macieszczak

Mădălin Guţă

Igor Lesanovsky igor.lesanovsky@nottingham.ac.uk

Juan P. Garrahan juan.garrahan@nottingham.ac.uk



Abstract

By generalizing 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 time scales 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.

Journal Article Type Article
Publication Date Jun 16, 2016
Journal Physical Review Letters
Print ISSN 0031-9007
Electronic ISSN 1079-7114
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 116
Issue 24
Article Number 240404
APA6 Citation Macieszczak, K., Guţă, M., Lesanovsky, I., & Garrahan, J. P. (2016). Towards a theory of metastability in open quantum dynamics. Physical Review Letters, 116(24), https://doi.org/10.1103/PhysRevLett.116.240404
DOI https://doi.org/10.1103/PhysRevLett.116.240404
Publisher URL http://dx.doi.org/10.1103/PhysRevLett.116.240404
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information ©2016 American Physical Society

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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