Hydrodynamics in long-range interacting systems with center-of-mass
conservation
- URL: http://arxiv.org/abs/2304.12354v1
- Date: Mon, 24 Apr 2023 18:00:07 GMT
- Title: Hydrodynamics in long-range interacting systems with center-of-mass
conservation
- Authors: Alan Morningstar, Nicholas O'Dea, and Jonas Richter
- Abstract summary: In systems with a conserved density, the additional conservation of the center of mass has been shown to slow down the associated hydrodynamics.
We develop a hydrodynamic theory for long-range center-of-mass-conserving systems.
- Score: 0.4014524824655105
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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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