Infinite families of fracton fluids with momentum conservation

Abstract

We construct infinite families of new universality classes of fracton hydrodynamics with momentum conservation, both with multipole conservation laws and/or subsystem symmetry. We explore the effects of broken inversion and/or time-reversal symmetry at the ideal fluid level, along with momentum relaxation. In the case of one-dimensional multipole-conserving models, we write down explicit microscopic Hamiltonian systems realizing these new universality classes. All of these hydrodynamic universality classes exhibit instabilities and will flow to new non-equilibrium fixed points. Such fixed points are predicted to exist in arbitrarily large spatial dimensions.

15 pages

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• Fracton hydrodynamics without time-reversal symmetry
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• Coupled Hydrodynamics in Dipole-Conserving Quantum Systems
• Emergent tracer dynamics in constrained quantum systems
• A Chern-Simons theory for dipole symmetry
• Fracton superfluid hydrodynamics
• Ideal fracton superfluids
• Emergent Dipole Gauge Fields and Fractons
• Fracton magnetohydrodynamics
• Topologically stable ergodicity breaking from emergent higher-form symmetries in generalized quantum loop models
• Multipole groups and fracton phenomena on arbitrary crystalline lattices
• Hyperuniformity and conservation laws in non-equilibrium systems
• Anomalous hydrodynamics with triangular point group in 2 + 1 dimensions
• Fractonic self-duality and covariant magnetic fractons
• Fractonic superfluids. III. Hybridizing higher moments
• Infinite-component $BF$ field theory: Connection of fracton order, Toeplitz braiding, and non-Hermitian amplification
• Quadrupole-conserving dynamics in the non-commutative plane
• Preparing Code States via Seed-Entangler-Enriched Sequential Quantum Circuits: Application to Tetra-Digit Topological Error-Correcting Codes
• Collective dynamics in holographic fractonic solids