Coupled Hydrodynamics in Dipole-Conserving Quantum Systems
- URL: http://arxiv.org/abs/2201.08852v2
- Date: Mon, 30 May 2022 14:28:42 GMT
- Title: Coupled Hydrodynamics in Dipole-Conserving Quantum Systems
- Authors: A. G. Burchards, J. Feldmeier, A. Schuckert, M. Knap
- Abstract summary: We investigate the coupled dynamics of charge and energy in interacting lattice models with dipole conservation.
We numerically verify its applicability to the late-time dynamics of a specific bosonic quantum system.
We discuss the relation of our results to experiments in ultracold atom quantum simulators.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We investigate the coupled dynamics of charge and energy in interacting
lattice models with dipole conservation. We formulate a generic hydrodynamic
theory for this combination of fractonic constraints and numerically verify its
applicability to the late-time dynamics of a specific bosonic quantum system by
developing a microscopic non-equilibrium quantum field theory. Employing a
self-consistent $1/N$ approximation in the number of field components, we
extract all entries of a generalized diffusion matrix and determine their
dependence on microscopic model parameters. We discuss the relation of our
results to experiments in ultracold atom quantum simulators.
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