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Metastability in an open quantum Ising model

Rose, Dominic C.; Macieszczak, Katarzyna; Lesanovsky, Igor; Garrahan, Juan P.


Dominic C. Rose

Katarzyna Macieszczak


We apply a recently developed theory for metastability in open quantum systems to a one-dimensional dissipative quantum Ising model. Earlier results suggest this model features either a nonequilibrium phase transition or a smooth but sharp crossover, where the stationary state changes from paramagnetic to ferromagnetic, accompanied by strongly intermittent emission dynamics characteristic of first-order coexistence between dynamical phases. We show that for a range of parameters close to this transition or crossover point the dynamics of the finite system displays pronounced metastability, i.e., the system relaxes first to long-lived metastable states before eventual relaxation to the true stationary state. From the spectral properties of the quantum master operator we characterize the low-dimensional manifold of metastable states, which are shown to be probability mixtures of two, paramagnetic and ferromagnetic, metastable phases. We also show that for long times the dynamics can be approximated by a classical stochastic dynamics between the metastable phases that is directly related to the intermittent dynamics observed in quantum trajectories and thus the dynamical phases.


Rose, D. C., Macieszczak, K., Lesanovsky, I., & Garrahan, J. P. (2016). Metastability in an open quantum Ising model. Physical Review E, 94(5), Article 052132.

Journal Article Type Article
Acceptance Date Nov 18, 2016
Publication Date Nov 18, 2016
Deposit Date Jan 3, 2017
Publicly Available Date Jan 3, 2017
Journal Physical Review E
Print ISSN 2470-0045
Electronic ISSN 2470-0053
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 94
Issue 5
Article Number 052132
Public URL
Publisher URL


metaopenising-PRE_94_052132_2016.pdf (1.6 Mb)

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