Deconfinement Dynamics of Fractons in Tilted Bose-Hubbard Chains
arXiv:2311.08455 · doi:10.1103/PhysRevLett.132.143401
Abstract
Fractonic constraints can lead to exotic properties of quantum many-body systems. Here, we investigate the dynamics of fracton excitations on top of the ground states of a one-dimensional, dipole-conserving Bose-Hubbard model. We show that nearby fractons undergo a collective motion mediated by exchanging virtual dipole excitations, which provides a powerful dynamical tool to characterize the underlying ground state phases. We find that in the gapped Mott insulating phase, fractons are confined to each other as motion requires the exchange of massive dipoles. When crossing the phase transition into a gapless Luttinger liquid of dipoles, fractons deconfine. Their transient deconfinement dynamics scales diffusively and exhibits strong but subleading contributions described by a quantum Lifshitz model. We examine prospects for the experimental realization in tilted Bose-Hubbard chains by numerically simulating the adiabatic state preparation and subsequent time evolution, and find clear signatures of the low-energy fracton dynamics.
5 + 10 pages, 3 + 2 figures, published version
References in corpus (24)
- Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
- Classical simulation of infinite-size quantum lattice systems in one spatial dimension
- Local stabilizer codes in three dimensions without string logical operators
- Long-lived and transient supersolid behaviors in dipolar quantum gases
- Time-evolving a matrix product state with long-ranged interactions
- 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
- A Strictly Single-Site DMRG Algorithm with Subspace Expansion
- Metastable superfluidity of repulsive fermionic atoms in optical lattices
- Higher-Spin Witten Effect and Two-Dimensional Fracton Phases
- Global Dipole Symmetry, Compact Lifshitz Theory, Tensor Gauge Theory, and Fractons
- Tweezer-programmable 2D quantum walks in a Hubbard-regime lattice
- The dipolar Bose-Hubbard model
- Spectral statistics in constrained many-body quantum chaotic systems
- Fractonic Luttinger Liquids and Supersolids in a Constrained Bose-Hubbard Model
- Dipole condensates in tilted Bose-Hubbard chains
- Quantum smectic gauge theory
- Universal subdiffusion in strongly tilted many-body systems
- Hilbert space fragmentation produces a "fracton Casimir effect"
- Lifshitz gauge duality
- Non-Fermi liquids from kinetic constraints in tilted optical lattices
- Fracton superfluid hydrodynamics
- Classical Non-Relativistic Fractons
- Dynamical Spectral Response of Fractonic Quantum Matter
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- Fractonic Quantum Quench in Dipole-constrained Bosons
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- Fractonic superfluids. III. Hybridizing higher moments
- Vortex and fractional quantum Hall phases in a rotating anisotropic Bose gas
- Resonant dynamics of dipole-conserving Bose-Hubbard model with time-dependent tensor electric fields
- Infinite-component field theory: Connection of fracton order, Toeplitz braiding, and non-Hermitian amplification
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- Engineering long-range and multi-body interactions via global kinetic constraints
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