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Anomalous transport in U(1)-symmetric quantum circuits
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In this work we investigate discrete-time transport in a generic U(1)-symmetric disordered model tuned across an array of different dynamical regimes. We develop an aggregate quantity, a circular statistical moment, which is a simple function of the magnetization profile and which elegantly captures transport properties of the system. From this quantity we extract transport exponents, revealing behaviors across the phase diagram consistent with localized, diffusive, and - most interestingly for a disordered system - superdiffusive regimes. Investigation of this superdiffusive regime reveals the existence of a prethermal "swappy" regime unique to discrete-time systems in which excitations propagate coherently; even in the presence of strong disorder.
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Cited by 1 Pith paper
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A resource theoretical unification of Mpemba effects: classical and quantum
Thermal and symmetry Mpemba effects are unified via resource theories, with symmetry restoration controlled by the initial overlap with the slowest symmetry-breaking mode.
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