Coupled Hydrodynamics in Dipole-Conserving Quantum Systems

A. G. Burchards; J. Feldmeier; A. Schuckert; M. Knap

doi:10.1103/physrevb.105.205127

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arXiv · 2201.08852

Coupled Hydrodynamics in Dipole-Conserving Quantum Systems

A. G. Burchards·J. Feldmeier·A. Schuckert·M. Knap

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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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BibTeX RIS

A. G. Burchards, J. Feldmeier, A. Schuckert, M. Knap. 2022-01-21. Coupled Hydrodynamics in Dipole-Conserving Quantum Systems. https://doi.org/10.1103/physrevb.105.205127

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