The dipolar Bose-Hubbard model

Abstract

We study a simple model of interacting bosons on a d-dimensional cubic lattice whose dynamics conserves both total boson number and total boson dipole moment. This model provides a simple framework in which several remarkable consequences of dipole conservation can be explored. As a function of chemical potential and hopping strength, the model can be tuned between gapped Mott insulating phases and various types of gapless condensates. The condensed phase realized at large hopping strengths, which we dub a Bose-Einstein insulator, is particularly interesting: despite having a Bose condensate, it is insulating, and despite being an insulator, it is compressible.

15 pages, 5 figures; v3: updated discussion of the 1d model

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Cited by in corpus (50)

• Global Dipole Symmetry, Compact Lifshitz Theory, Tensor Gauge Theory, and Fractons
• Lieb-Schultz-Mattis anomalies as obstructions to gauging (non-on-site) symmetries
• Fractonic Luttinger Liquids and Supersolids in a Constrained Bose-Hubbard Model
• Goldstone bosons and fluctuating hydrodynamics with dipole and momentum conservation
• Dipole condensates in tilted Bose-Hubbard chains
• Hohenberg-Mermin-Wagner-type theorems and dipole symmetry
• 2+1d Compact Lifshitz Theory, Tensor Gauge Theory, and Fractons
• Hydrodynamics of dipole-conserving fluids
• Gauging modulated symmetries: Kramers-Wannier dualities and non-invertible reflections
• Generating Lattice Non-invertible Symmetries
• Lifshitz gauge duality
• A Chern-Simons theory for dipole symmetry
• Non-Fermi liquids from kinetic constraints in tilted optical lattices
• Fracton superfluid hydrodynamics
• Hydrodynamics in long-range interacting systems with center-of-mass conservation
• Deconfinement Dynamics of Fractons in Tilted Bose-Hubbard Chains
• Upper bounds on superconducting and excitonic phase-stiffness for interacting isolated narrow bands
• Exotic quantum liquids in Bose-Hubbard models with spatially-modulated symmetries
• Hierarchical hydrodynamics in long-range multipole-conserving systems
• Fractons on Graphs and Complexity
• Multipole groups and fracton phenomena on arbitrary crystalline lattices
• Noncommutative Field Theory of the Tkachenko Mode: Symmetries and Decay Rate
• Non-Fermi Liquids from Dipolar Symmetry Breaking
• Dynamical Spectral Response of Fractonic Quantum Matter
• Quantum vortex lattice: Lifshitz duality, topological defects and multipole symmetries
• Filling constraints on translation invariant dipole conserving systems
• Dissipative fracton superfluids
• Helical superfluid in a frustrated honeycomb Bose-Hubbard model
• A post-Gaussian approach to dipole symmetries and interacting fractons
• Field induced non-BEC transitions in frustrated magnets
• Non-equilibrium dynamics of bosons with dipole symmetry: Large-$N$ Keldysh approach
• Fractonic Quantum Quench in Dipole-constrained Bosons
• Bosonic Quantum Breakdown Hubbard Model
• Nonlinear Lifshitz Photon Theory in Condensed Matter Systems
• Models of interacting bosons with exact ground states: a unified approach
• Topological Dipole Insulator
• Gauging Modulated Symmetries via Multiple Gauge Symmetry Operators and Adaptive Quantum Circuits
• Spacetime symmetry-enriched SymTFT: from LSM anomalies to modulated symmetries and beyond
• Fractonic superfluids. III. Hybridizing higher moments
• Resonant dynamics of dipole-conserving Bose-Hubbard model with time-dependent tensor electric fields
• Non-commutative effective field theory of the lowest Landau level superfluid
• Infinite-component $BF$ field theory: Connection of fracton order, Toeplitz braiding, and non-Hermitian amplification
• Relaxation and fluctuations of a mass- and dipole-conserving stochastic lattice gas
• Exponential $U(1)$ Symmetry-Breaking Phase as a Disorder-Free Quantum Glass
• Constrained motions and slow dynamics in one-dimensional bosons with double-well dispersion
• Preparing Code States via Seed-Entangler-Enriched Sequential Quantum Circuits: Application to Tetra-Digit Topological Error-Correcting Codes
• Field Theory of Borromean Super-counterfluids
• Matrix product state classification of 1D multipole symmetry protected topological phases
• Quantum Hall correlations in tilted extended Bose-Hubbard chains
• Continuum Fractons: Quantization and the Few Body Problem