Intermittency and dynamical Lee-Yang zeros of open quantum systems

James M. Hickey*, Christian Flindt, Juan P. Garrahan

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

15 Citations (Scopus)

Abstract

We use high-order cumulants to investigate the Lee-Yang zeros of generating functions of dynamical observables in open quantum systems. At long times the generating functions take on a large-deviation form with singularities of the associated cumulant generating functions - or dynamical free energies - signifying phase transitions in the ensemble of dynamical trajectories. We consider a driven three-level system as well as the dissipative Ising model. Both systems exhibit dynamical intermittency in the statistics of quantum jumps. From the short-time behavior of the dynamical Lee-Yang zeros, we identify critical values of the counting field which we attribute to the observed intermittency and dynamical phase coexistence. Furthermore, for the dissipative Ising model we construct a trajectory phase diagram and estimate the value of the transverse field where the stationary state changes from being ferromagnetic (inactive) to paramagnetic (active).

Original languageEnglish
Article number062128
Pages (from-to)1-10
Number of pages10
JournalPhysical Review E
Volume90
Issue number6
DOIs
Publication statusPublished - 19 Dec 2014
MoE publication typeA1 Journal article-refereed

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