Hydrodynamics of ideal fracton fluids
arXiv:2105.01084 · doi:10.1103/PhysRevResearch.3.043186
Abstract
Low-energy dynamics of many-body fracton excitations necessary to describe topological defects should be governed by a novel type of hydrodynamic theory. We use a Poisson bracket approach to systematically derive hydrodynamic equations from conservation laws of scalar theories with fracton excitations. We study three classes of theories. In the first class we introduce a general action for a scalar with a shift symmetry linear in the spatial coordinates, whereas the second one correspond with a complex scalar, while the third class serves as a toy model for disclinations and dislocations propagating along the Burgers vector. We apply our construction to study hydrodynamic fluctuations around equilibrium states and derive the dispersion relations of hydrodynamic modes.
11 pages, new section added, published version
References in corpus (4)
- Local stabilizer codes in three dimensions without string logical operators
- Disclinations, dislocations and continuous defects: a reappraisal
- Gapless Bosonic Excitation without symmetry breaking: Novel Algebraic Spin liquid with soft Gravitons
- Sound-induced vortex interactions in a zero-temperature two-dimensional superfluid
Cited by in corpus (23)
- Quantum Many-Body Scars: A Quasiparticle Perspective
- Fractons, dipole symmetries and curved spacetime
- Breakdown of hydrodynamics below four dimensions in a fracton fluid
- The dipolar Bose-Hubbard model
- Fractonic Luttinger Liquids and Supersolids in a Constrained Bose-Hubbard Model
- Goldstone bosons and fluctuating hydrodynamics with dipole and momentum conservation
- Hidden quasiconservation laws in fracton hydrodynamics
- Infinite families of fracton fluids with momentum conservation
- Dipole condensates in tilted Bose-Hubbard chains
- Fracton hydrodynamics without time-reversal symmetry
- Universal anomalous fluctuations in charged single-file systems
- Damping of Pseudo-Goldstone Fields
- Hydrodynamics of dipole-conserving fluids
- Emergent tracer dynamics in constrained quantum systems
- A symmetry principle for gauge theories with fractons
- Emergent Dipole Gauge Fields and Fractons
- Fracton magnetohydrodynamics
- Bose-Hubbard realization of fracton defects
- Multipole groups and fracton phenomena on arbitrary crystalline lattices
- Anomalous hydrodynamics with triangular point group in 2 + 1 dimensions
- Fractons in effective field theories for spontaneously broken translations
- Fractons in curved space
- Hydrodynamics without Boost-Invariance from Kinetic Theory: From Perfect Fluids to Active Flocks