Bose-Hubbard realization of fracton defects

Abstract

Bose-Hubbard models are simple paradigmatic lattice models used to study dynamics and phases of quantum bosonic matter. We combine the extended Bose-Hubbard model in the hard-core regime with ring-exchange hoppings. By investigating the symmetries and low-energy properties of the Hamiltonian we argue that the model hosts fractonic defect excitations. We back up our claims with exact numerical simulations of defect dynamics exhibiting mobility constraints. Moreover, we confirm the robustness of our results against fracton symmetry breaking perturbations. Finally we argue that this model can be experimentally realized in recently proposed quantum simulator platforms with big time crystals, thus paving a way for the controlled study of many-body dynamics with mobility constraints.

12 pages, 7 figures

References in corpus (15)

• Local stabilizer codes in three dimensions without string logical operators
• Non-standard Hubbard models in optical lattices: a review
• Higher-Spin Witten Effect and Two-Dimensional Fracton Phases
• Gapless Bosonic Excitation without symmetry breaking: Novel Algebraic Spin liquid with soft Gravitons
• Breakdown of hydrodynamics below four dimensions in a fracton fluid
• Hydrodynamics of ideal fracton fluids
• Condensed Matter Physics in Time Crystals
• Prethermal time crystals in a one-dimensional periodically driven Floquet system
• Hilbert space shattering and disorder-free localization in polar lattice gases
• Possible realization of the Exciton Bose Liquid phase in a hard-core boson model with ring-only exchange interactions
• Lack of a genuine time crystal in a chiral soliton model
• Fractonic critical point proximate to a higher-order topological insulator: How does UV blend with IR?
• Inseparable time-crystal geometries on the Möbius strip
• Failure of Gutzwiller-type wave function to capture gauge fluctuations: Case study in the Exciton Bose Liquid context
• Fractons in effective field theories for spontaneously broken translations

Cited by in corpus (8)

• Hydrodynamics of dipole-conserving fluids
• Dissipative fracton superfluids
• Discrete Time Crystals with Absolute Stability
• Topologically protected quantized changes of the distance between atoms
• Fractonic superfluids. III. Hybridizing higher moments
• Infinite-component $BF$ field theory: Connection of fracton order, Toeplitz braiding, and non-Hermitian amplification
• Towards Timetronics with Photonic Systems
• Preparing Code States via Seed-Entangler-Enriched Sequential Quantum Circuits: Application to Tetra-Digit Topological Error-Correcting Codes