Ideal fracton superfluids

Abstract

We investigate the thermodynamics of equilibrium thermal states and their near-equilibrium dynamics in systems with fractonic symmetries in arbitrary curved space. By explicitly gauging the fracton algebra we obtain the geometry and gauge fields that field theories with conserved dipole moment couple to. We use the resultant fracton geometry to show that it is not possible to construct an equilibrium partition function for global thermal states unless part of the fractonic symmetries is spontaneously broken. This leads us to introduce two classes of fracton superfluids with conserved energy and momentum, namely $p$-wave and $s$-wave fracton superfluids. The latter phase is an Aristotelian superfluid at ideal order but with a velocity constraint and can be split into two separate regimes: the U(1) fracton superfluid and the pinned $s$-wave superfluid regimes. For each of these classes and regimes we formulate a hydrodynamic expansion and study the resultant modes. We find distinctive features of each of these phases and regimes at ideal order in gradients, without introducing dissipative effects. In particular we note the appearance of a sound mode for $s$-wave fracton superfluids. We show that previous work on fracton hydrodynamics falls into these classes. Finally, we study ultra-dense $p$-wave fracton superfluids with a large kinetic mass in addition to studying the thermodynamics of ideal Aristotelian superfluids.

66 pages (incl. 3 appendices), 1 figure; v2: Updated to published version

References in corpus (33)

• Local stabilizer codes in three dimensions without string logical operators
• Fracton Phases of Matter
• Holographic model of superfluidity
• Fracton hydrodynamics
• Newtonian Gravity and the Bargmann Algebra
• Exotic Symmetries, Duality, and Fractons in 2+1-Dimensional Quantum Field Theory
• Subdiffusion and heat transport in a tilted 2D Fermi-Hubbard system
• Fractons, dipole symmetries and curved spacetime
• Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond
• Fractonic Superfluids
• Carrollian and celestial spaces at infinity
• Magnetohydrodynamics as superfluidity
• Spatially isotropic homogeneous spacetimes
• Non-Boost Invariant Fluid Dynamics
• Parallelized quantum error correction with fracton topological codes
• On the intrinsic torsion of spacetime structures
• Goldstone bosons and fluctuating hydrodynamics with dipole and momentum conservation
• Fracton-elasticity duality of two-dimensional superfluid vortex crystals: defect interactions and quantum melting
• Infinite families of fracton fluids with momentum conservation
• Hydrodynamics for charge density waves and their holographic duals
• Fracton hydrodynamics without time-reversal symmetry
• One-form superfluids and magnetohydrodynamics
• Hydrodynamics of dipole-conserving fluids
• Newton-Cartan Submanifolds and Fluid Membranes
• Efficiently preparing Schrödinger's cat, fractons and non-Abelian topological order in quantum devices
• Effective field theories for gapless phases with fractons via a coset construction
• Hydrodynamics without boosts
• Approximate symmetries, pseudo-Goldstones, and the second law of thermodynamics
• Fracton superfluid hydrodynamics
• Hydrodynamics of plastic deformations in electronic crystals
• Thermodynamic origin of the Landau instability of superfluids
• Large $N$ fractons
• Holographic subdiffusion

Cited by in corpus (13)

• Carrollian fluids and spontaneous breaking of boost symmetry
• Dissipative fracton superfluids
• Hydrodynamics of thermal active matter
• Dipole symmetries from the topology of the phase space and the constraints on the low-energy spectrum
• Fracton and Non-Lorentzian Particle Duality: Gauge Field Couplings and Geometric Implications
• Hydrodynamics without Boost-Invariance from Kinetic Theory: From Perfect Fluids to Active Flocks
• Bosonic Quantum Breakdown Hubbard Model
• Fractonic superfluids. III. Hybridizing higher moments
• Infinite-component $BF$ field theory: Connection of fracton order, Toeplitz braiding, and non-Hermitian amplification
• Counterflow and coflow instabilities in miscible binary superfluids
• Preparing Code States via Seed-Entangler-Enriched Sequential Quantum Circuits: Application to Tetra-Digit Topological Error-Correcting Codes
• A complex scalar field theory for charged fluids, superfluids, and fracton fluids
• Collective dynamics in holographic fractonic solids