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arXiv · 2304.12354

Hydrodynamics in long-range interacting systems with center-of-mass conservation

Alan Morningstar·Nicholas O'Dea·Jonas Richter
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Abstract

In systems with a conserved density, the additional conservation of the center of mass (dipole moment) has been shown to slow down the associated hydrodynamics. At the same time, long-range interactions generally lead to faster transport and information propagation. Here, we explore the competition of these two effects and develop a hydrodynamic theory for long-range center-of-mass-conserving systems. We demonstrate that these systems can exhibit a rich dynamical phase diagram containing subdiffusive, diffusive, and superdiffusive behaviors, with continuously varying dynamical exponents. We corroborate our theory by studying quantum lattice models whose emergent hydrodynamics exhibit these phenomena.

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Alan Morningstar, Nicholas O'Dea, Jonas Richter. 2023-04-24. Hydrodynamics in long-range interacting systems with center-of-mass conservation. https://doi.org/10.1103/physrevb.108.l020304

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