Fractonic Luttinger Liquids and Supersolids in a Constrained Bose-Hubbard Model

Abstract

Quantum many-body systems with fracton constraints are widely conjectured to exhibit unconventional low-energy phases of matter. In this work, we demonstrate the existence of a variety of such exotic quantum phases in the ground states of a dipole-moment conserving Bose-Hubbard model in one dimension. For integer boson fillings, we perform a mapping of the system to a model of microscopic local dipoles, which are composites of fractons. We apply a combination of low-energy field theory and large-scale tensor network simulations to demonstrate the emergence of a dipole Luttinger liquid phase. At non-integer fillings our numerical approach shows an intriguing compressible state described by a quantum Lifshitz model in which charge density-wave order coexists with dipole long-range order and superfluidity - a `dipole supersolid'. While this supersolid state may eventually be unstable against lattice effects in the thermodynamic limit, its numerical robustness is remarkable. We discuss potential experimental implications of our results.

17 pages, 11 figures

References in corpus (38)

• The density-matrix renormalization group in the age of matrix product states
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• Local stabilizer codes in three dimensions without string logical operators
• Localization from Hilbert space shattering: from theory to physical realizations
• Fracton Phases of Matter
• Tensor network states and algorithms in the presence of a global U(1) symmetry
• Observing non-ergodicity due to kinetic constraints in tilted Fermi-Hubbard chains
• Fracton hydrodynamics
• Hilbert Space Fragmentation and Commutant Algebras
• Mott insulators in strong electric fields
• Anomalous Diffusion in Dipole- and Higher-Moment Conserving Systems
• Statistical localization: from strong fragmentation to strong edge modes
• A Strictly Single-Site DMRG Algorithm with Subspace Expansion
• Kinetically constrained freezing transition in a dipole-conserving system
• Half-Filled Lowest Landau Level on a Thin Torus
• Higher-Spin Witten Effect and Two-Dimensional Fracton Phases
• Global Dipole Symmetry, Compact Lifshitz Theory, Tensor Gauge Theory, and Fractons
• Quaternion, harmonic oscillator, and high-dimensional topological states
• Multipole conservation laws and subdiffusion in any dimension
• Breakdown of hydrodynamics below four dimensions in a fracton fluid
• The dipolar Bose-Hubbard model
• Fractonic Superfluids
• Hydrodynamics of ideal fracton fluids
• Spectral statistics in constrained many-body quantum chaotic systems
• Spontaneous breaking of multipole symmetries
• Infinite families of fracton fluids with momentum conservation
• Dipole condensates in tilted Bose-Hubbard chains
• Quantum smectic gauge theory
• Universal subdiffusion in strongly tilted many-body systems
• Fractonic superfluids. (II). Condensing subdimensional particles
• Hohenberg-Mermin-Wagner-type theorems and dipole symmetry
• Formation of spontaneous density-wave patterns in DC driven lattices
• Coupled Hydrodynamics in Dipole-Conserving Quantum Systems
• Critically slow operator dynamics in constrained many-body systems
• Lifshitz gauge duality
• Fractonic gauge theory of smectics
• Emergent Fracton Dynamics in a Non-Planar Dimer Model

Cited by in corpus (32)

• Dipole condensates in tilted Bose-Hubbard chains
• Unifying Emergent Hydrodynamics and Lindbladian Low Energy Spectra across Symmetries, Constraints, and Long-Range Interactions
• Many-Body Non-Hermitian Skin Effect for Multipoles
• Gauging modulated symmetries: Kramers-Wannier dualities and non-invertible reflections
• Non-Fermi liquids from kinetic constraints in tilted optical lattices
• Hydrodynamics in long-range interacting systems with center-of-mass conservation
• Deconfinement Dynamics of Fractons in Tilted Bose-Hubbard Chains
• Exotic quantum liquids in Bose-Hubbard models with spatially-modulated symmetries
• Hierarchical hydrodynamics in long-range multipole-conserving systems
• Multipole groups and fracton phenomena on arbitrary crystalline lattices
• Classical Non-Relativistic Fractons
• Non-Fermi Liquids from Dipolar Symmetry Breaking
• Dynamical Spectral Response of Fractonic Quantum Matter
• Dissipative fracton superfluids
• Filling constraints on translation invariant dipole conserving systems
• Emergent Fracton Hydrodynamics of Ultracold Atoms in Partially Filled Landau Levels
• A post-Gaussian approach to dipole symmetries and interacting fractons
• Non-equilibrium dynamics of bosons with dipole symmetry: Large-$N$ Keldysh approach
• Fractonic Quantum Quench in Dipole-constrained Bosons
• Bosonic Quantum Breakdown Hubbard Model
• Fractonic superfluids. III. Hybridizing higher moments
• Topological Dipole Insulator
• Gauging Modulated Symmetries via Multiple Gauge Symmetry Operators and Adaptive Quantum Circuits
• Infinite-component $BF$ field theory: Connection of fracton order, Toeplitz braiding, and non-Hermitian amplification
• Resonant dynamics of dipole-conserving Bose-Hubbard model with time-dependent tensor electric fields
• Domain coarsening in fractonic systems: a cascade of critical exponents
• Quantum Hall correlations in tilted extended Bose-Hubbard chains
• Controlling correlations of a polaritonic Luttinger liquid by engineered cross-Kerr nonlinearity
• Matrix product state classification of 1D multipole symmetry protected topological phases
• 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
• Emergent dipole field theory in atomic ladders