Coupled activity-current fluctuations in open quantum systems under strong symmetries

• URL: http://arxiv.org/abs/2104.13176v2
• Date: Mon, 14 Jun 2021 13:00:02 GMT
• Title: Coupled activity-current fluctuations in open quantum systems under strong symmetries
• Authors: D. Manzano, M.A. Mart\'inez-Garc\'ia, and P.I. Hurtado
• Abstract summary: Strong symmetries in open quantum systems lead to broken ergodicity and the emergence of multiple degenerate steady states. We investigate how strong symmetries affect both the transport properties and the activity patterns of a class of Markovian open quantum system.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Strong symmetries in open quantum systems lead to broken ergodicity and the emergence of multiple degenerate steady states. From a quantum jump (trajectory) perspective, the appearance of multiple steady states is related to underlying dynamical phase transitions (DPTs) at the fluctuating level, leading to a dynamical coexistence of different transport channels classified by symmetry. In this paper, we investigate how strong symmetries affect both the transport properties and the activity patterns of a particular class of Markovian open quantum system, a three-qubit model under the action of a magnetic field and in contact with a thermal bath. We find a pair of twin DPTs in exciton current statistics, induced by the strong symmetry and related by time reversibility, where a zero-current exchange-antisymmetric phase coexists with a symmetric phase of negative exciton current. On the other hand, the activity statistics exhibits a single DPT where the symmetric and antisymmetric phases of different but nonzero activities dynamically coexists. The presence of a strong symmetry under non-equilibrium conditions implies non-analyticities in the dynamical free energy in the dual activity-current plane, including an activity-driven current lockdown phase for activities below some critical threshold. Finally, we also study the effect of a symmetry-breaking, ergodicity-restoring dephasing channel on the coupled activity-current statistics for this model. Interestingly, we observe that while this dephasing noise destroys the symmetry-induced DPTs, the underlying topological symmetry leaves a dynamical fingerprint in the form of intermittent, bursty on/off dynamics between the different symmetry sectors.

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