Current fluctuations in boundary-driven quantum spin chains

Abstract

Boundary-driven spin chains are paradigmatic non-equilibrium systems in both classical and quantum settings. In general it may not be possible to distinguish classical from quantum transport through monitoring the mean current, as both ballistic as well as diffusive regimes occur in either setting. Here we show that genuine quantum features become manifest in large fluctuations which allow a discrimination between classical and quantum transport: in the classical case, realizations that are characterized by atypically large boundary activity are associated with larger than typical currents, i.e. an enhanced number of events at the boundaries goes together with a large current. Conversely, in the quantum case the Zeno effect leads to the suppression of current in trajectories with large activity at the boundary. We analyze how these different dynamical regimes are reflected in the structure of rare fluctuations. We show furthermore that realizations supporting a large current are generated via weak long-range correlations within the spin chain, typically associated with hyperuniformity.

10 pages, 5 figures

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Cited by in corpus (19)

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• Entanglement structure of current-driven diffusive fermion systems
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• Sampling rare events across dynamical phase transitions
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• Free Fermions with a Localized Source
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• Exact large deviation function of spin current for the one dimensional XX spin chain with domain wall initial condition
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• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Nonequilibrium phases and quantum correlations in synthetic transport models
• Thermodynamics of quantum-jump trajectories of open quantum systems subject to stochastic resetting