학술논문

Coupled Hydrodynamics in Dipole-Conserving Quantum Systems
Document Type
Working Paper
Source
Physical Review B 105, 205127 (2022)
Subject
Condensed Matter - Quantum Gases
Condensed Matter - Statistical Mechanics
Condensed Matter - Strongly Correlated Electrons
Quantum Physics
Language
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.
Comment: 18 pages, 5 figures