Dissipative fracton superfluids
arXiv:2401.01877 · doi:10.1007/JHEP07(2024)285
Abstract
We present a comprehensive study of hydrodynamic theories for superfluids with dipole symmetry. Taking diffusion as an example, we systematically construct a hydrodynamic framework that incorporates an intrinsic dipole degree of freedom in analogy to spin density in micropolar (spinful) fluids. Subsequently, we study a dipole condensed phase and propose a model that captures the spontaneous breaking of the charge. The theory explains the role of the inverse Higgs constraint for this class of theories, and naturally generates the gapless field. Next, we introduce finite temperature theory using the Hamiltonian formalism and study the hydrodynamics of ideal fracton superfluids. Finally, we postulate a derivative counting scheme and incorporate dissipative effects using the method of irreversible thermodynamics. We verify the consistency of the dispersion relations and argue that our counting is systematic.
35+3 pages, v2; published version
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- Infinite-component field theory: Connection of fracton order, Toeplitz braiding, and non-Hermitian amplification
- Preparing Code States via Seed-Entangler-Enriched Sequential Quantum Circuits: Application to Tetra-Digit Topological Error-Correcting Codes
- Quadrupole-conserving dynamics in the non-commutative plane
- A complex scalar field theory for charged fluids, superfluids, and fracton fluids
- Collective dynamics in holographic fractonic solids