Fractonic superfluids. III. Hybridizing higher moments
arXiv:2412.10280 · doi:10.1103/jvs9-6qkn
Abstract
Fractonic superfluids are featured by the interplay of spontaneously broken charge symmetry and mobility constraints on single-particle kinematics due to the conservation of higher moments, such as dipoles, angular charge moments, and quadrupoles. Building on prior studies by Yuan \textit{et al.} [\href{https://doi.org/10.1103/PhysRevResearch.2.023267}{Phys. Rev. Res. 2, 023267 (2020)}] and Chen \textit{et al.} [\href{https://doi.org/10.1103/PhysRevResearch.3.013226}{Phys. Rev. Res. 3, 013226 (2021)}], we study a class of fractonic superfluids, termed \textit{hybrid fractonic superfluids} (HFS), in which bosons of multiple species interact while moment hybridization is conserved. We explore the consequences of hybridization via two model series: \textit{Model Series A}, conserving total moments of the same order across species, and \textit{Model Series B}, conserving total moments of different orders. In Model Series A, we analyze dipole moment hybridization and extend the discussion to higher-order moments, examining the ground state, Goldstone modes, correlation functions, and so on. We compute the minimal spatial dimensions, where the total charge symmetry begins to get partially broken via particle-hole condensation, leading to true off-diagonal long-range order. In Model Series B, we focus on HFS with hybrid dipole-quadrupole conservation. For both series, we introduce Bose-Hubbard-type lattice models that reduce to either of both series in the weak Hubbard interaction regime. We perform a mean-field analysis on the global phase diagram and discuss experimental realizations in strongly tilted optical lattices via a third-order perturbation theory. This work, alongside prior studies, completes a trilogy on fractonic superfluids, uncovering symmetry-breaking physics emerging from higher moment conservation, leaving various promising studies for future investigation.
Accepted by Phys. Rev. Research (2025). Approximate to published version. A trilogy of fractonic superfluids is established in: arXiv:1911.02876, arXiv:2010.03261, and arXiv:2412.10280 (the present arXiv preprint). Further in-depth discussions about fractonic superfluids: arXiv:2104.03237, arXiv:2203.06984, arXiv:2201.08597, and arXiv:2305.00941
References in corpus (82)
- Generalized Global Symmetries
- Fracton Topological Order, Generalized Lattice Gauge Theory and Duality
- Quantum Glassiness
- Fractons
- Localization from Hilbert space shattering: from theory to physical realizations
- Local constraints can globally shatter Hilbert space: a new route to quantum information protection
- A New Kind of Topological Quantum Order: A Dimensional Hierarchy of Quasiparticles Built from Stationary Excitations
- Subdimensional Particle Structure of Higher Rank U(1) Spin Liquids
- Generalized Symmetries in Condensed Matter
- Generalized Electromagnetism of Subdimensional Particles: A Spin Liquid Story
- Observing non-ergodicity due to kinetic constraints in tilted Fermi-Hubbard chains
- Fracton hydrodynamics
- The Fracton Gauge Principle
- Glassy quantum dynamics in translation invariant fracton models
- Subsystem symmetry protected topological order
- Fracton Models on General Three-Dimensional Manifolds
- Anomalous Diffusion in Dipole- and Higher-Moment Conserving Systems
- Fracton topological order via coupled layers
- Subdiffusion and heat transport in a tilted 2D Fermi-Hubbard system
- Foliated fracton order from gauging subsystem symmetries
- Towards classification of Fracton phases: the multipole algebra
- Localization in fractonic random circuits
- Dynamical scar states in driven fracton systems
- Global Dipole Symmetry, Compact Lifshitz Theory, Tensor Gauge Theory, and Fractons
- Foliated Quantum Field Theory of Fracton Order
- Fractal Symmetric Phases of Matter
- Multipole conservation laws and subdiffusion in any dimension
- The dipolar Bose-Hubbard model
- Cage-Net Fracton Models
- Fractonic Superfluids
- Subsystem symmetries, quantum cellular automata, and computational phases of quantum matter
- Correlation function diagnostics for type-I fracton phases
- Universal quantum computation using fractal symmetry-protected cluster phases
- Fractonic line excitations : an inroad from 3d elasticity theory
- Anomaly Inflow for Subsystem Symmetries
- Fractonic Chern-Simons and BF theories
- Higher Rank Deconfined Quantum Criticality at the Lifshitz Transition and the Exciton Bose Condensate
- Sorting topological stabilizer models in three dimensions
- Gauging fractons: immobile non-Abelian quasiparticles, fractals, and position-dependent degeneracies
- Fractonic Luttinger Liquids and Supersolids in a Constrained Bose-Hubbard Model
- Goldstone bosons and fluctuating hydrodynamics with dipole and momentum conservation
- Infinite families of fracton fluids with momentum conservation
- Dipole condensates in tilted Bose-Hubbard chains
- Fractonic superfluids. (II). Condensing subdimensional particles
- Hohenberg-Mermin-Wagner-type theorems and dipole symmetry
- Rank-2 Toric Code in Two Dimensions
- Fracton physics of spatially extended excitations
- 2+1d Compact Lifshitz Theory, Tensor Gauge Theory, and Fractons
- Entanglement Spectra of Stabilizer Codes: A Window into Gapped Quantum Phases of Matter
- Classifying local fractal subsystem symmetry protected topological phases
- Topological fracton quantum phase transitions by tuning exact tensor network states
- Higher-Rank Tensor Non-Abelian Field Theory: Higher-Moment or Subdimensional Polynomial Global Symmetry, Algebraic Variety, Noether's Theorem, and Gauging
- Lifshitz gauge duality
- Non-Fermi liquids from kinetic constraints in tilted optical lattices
- A Chern-Simons theory for dipole symmetry
- Ideal fracton superfluids
- Fracton superfluid hydrodynamics
- Hydrodynamics in long-range interacting systems with center-of-mass conservation
- Fracton physics of spatially extended excitations. II. Polynomial ground state degeneracy of exactly solvable models
- Covariant fracton gauge theory with boundary
- Bifurcating subsystem symmetric entanglement renormalization in two dimensions
- Deconfinement Dynamics of Fractons in Tilted Bose-Hubbard Chains
- Non-Abelian Gauged Fracton Matter Field Theory: New Sigma Models, Superfluids and Vortices
- Evolution of Dynamical Signature in the X-cube Fracton Topological Order
- Detecting Subsystem Symmetry Protected Topological Order Through Strange Correlators
- Fractons, non-Riemannian Geometry, and Double Field Theory
- Renormalization group analysis on emergence of higher rank symmetry and higher moment conservation
- Bose-Hubbard realization of fracton defects
- Extracting topological orders of generalized Pauli stabilizer codes in two dimensions
- Non-Fermi Liquids from Dipolar Symmetry Breaking
- Higher-Order Cellular Automata Generated Symmetry-Protected Topological Phases and Detection Through Multi-Point Strange Correlators
- Dynamical Spectral Response of Fractonic Quantum Matter
- Dissipative fracton superfluids
- Filling constraints on translation invariant dipole conserving systems
- Exotic Symmetry Breaking Properties of Self-Dual Fracton Spin Models
- Hierarchy of Entanglement Renormalization and Long-Range Entangled States
- Hierarchical Proliferation of Higher-Rank Symmetry Defects in Fractonic Superfluids
- Covariant Interacting Fractons
- Quantum Hydrodynamics of Fractonic Superfluids with Lineon Condensate: from Navier-Stokes-like Equations to Landau-like Criterion
- A post-Gaussian approach to dipole symmetries and interacting fractons
- Three-dimensional fracton topological orders with boundary Toeplitz braiding
- Fractonic Coset Construction for Spontaneously Broken Translations