Anomalous nonequilibrium current fluctuations in the Heisenberg model

Abstract

We study fluctuation properties of a one-dimensional anisotropic Heisenberg model out of equilibrium, focusing in particular on the gapped regime. Within the open-system setting we study large-deviation properties of the spin current. Numerically evaluating the first four current cumulants in a nonequilibrium stationary state at high energies, we find that the first two cumulants scale with the system size in a diffusive way, while the 3rd and the 4th cumulants do not. This means that the model is not an ordinary diffusive spin conductor.

arXiv comment5 pages, 5 figs; v2.: some additional explanation and one new fig

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• Non-equilibrium quantum chains under multi-site Lindblad baths
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• Free Fermions with a Localized Source
• Nonequilibrium steady-state Kubo formula: equality of transport coefficients
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• Nonequilibrium phases and quantum correlations in synthetic transport models
• Thermodynamics of quantum-jump trajectories of open quantum systems subject to stochastic resetting