Coupled Hydrodynamics in Dipole-Conserving Quantum Systems

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.

arXiv comment18 pages, 5 figures

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• Goldstone bosons and fluctuating hydrodynamics with dipole and momentum conservation
• Fracton hydrodynamics without time-reversal symmetry
• Many-Body Non-Hermitian Skin Effect for Multipoles
• Hydrodynamics of dipole-conserving fluids
• Emergent tracer dynamics in constrained quantum systems
• Diffusion constants from the recursion method
• Hydrodynamics in long-range interacting systems with center-of-mass conservation
• Hierarchical hydrodynamics in long-range multipole-conserving systems
• Far from equilibrium field theory for strongly coupled light and matter: dynamics of frustrated multi-mode cavity QED
• Tunable transport in the mass-imbalanced Fermi-Hubbard model
• Emergent dipole moment conservation and subdiffusion in tilted chains
• Anomalous hydrodynamics with triangular point group in 2 + 1 dimensions
• Elastic Liénard-Wiechert potentials of dynamical dislocations from tensor gauge theory in 2+1 dimensions
• Enhanced many-body localization in a kinetically constrained model
• Navier-Stokes Equations for Low-Temperature One-Dimensional Fluids
• Emergent Fracton Hydrodynamics of Ultracold Atoms in Partially Filled Landau Levels
• Non-equilibrium dynamics of bosons with dipole symmetry: Large-$N$ Keldysh approach
• Schwinger-Keldysh non-perturbative field theory of open quantum systems beyond the Markovian regime: Application to spin-boson and spin-chain-boson models
• Einstein relation for subdiffusive relaxation in Stark chains
• Collective dynamics in holographic fractonic solids
• Emergent dipole field theory in atomic ladders