Bosonic Quantum Breakdown Hubbard Model

Abstract

We propose a bosonic quantum breakdown Hubbard model, which generalizes the Bose-Hubbard model by adding an asymmetric breakdown interaction turning one boson into two between adjacent sites. When the normal hopping is zero, this model has a global exponential U(1) symmetry, and we show that the ground state undergoes a first-order phase transition from a Mott insulator (MI) to a spontaneously symmetry breaking (SSB) breakdown condensate as the breakdown interaction increases. Surprisingly, the SSB breakdown condensate does not have a gapless Goldstone mode, which invalidates the Mermin-Wagner theorem and leads to stable SSB in one dimension. Moreover, we show that the quench dynamics of a boson added to MI exhibits a dynamical transition from dielectric to breakdown phases, which happens at a larger breakdown interaction than the ground state phase transition. Between these two transitions, the MI (dielectric) state is a false vacuum stable against dynamical breakdown. Our results reveal that quantum models with unconventional symmetries such as the exponential symmetry can exhibit unexpected properties.

7+8 pages, 4+5 figures

References in corpus (43)

• Edge states and topological invariants of non-Hermitian systems
• Localization of interacting fermions at high temperature
• The distribution of the ratio of consecutive level spacings in random matrix ensembles
• 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
• Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
• Ergodicity-breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
• Fracton Phases of Matter
• Observation of gauge invariance in a 71-site Bose-Hubbard quantum simulator
• Unified Description of Nambu-Goldstone Bosons without Lorentz Invariance
• Observing non-ergodicity due to kinetic constraints in tilted Fermi-Hubbard chains
• Anomalous Diffusion in Dipole- and Higher-Moment Conserving Systems
• Observation of many-body scarring in a Bose--Hubbard quantum simulator
• Quantum phase transition in an atomic Bose gas with a Feshbach resonance
• Superfluid transitions in bosonic atom-molecule mixtures near Feshbach resonance
• Quaternion, harmonic oscillator, and high-dimensional topological states
• The dipolar Bose-Hubbard model
• Fractonic Superfluids
• Dielectric Breakdown in a Mott Insulator: Many-body Schwinger-Landau-Zener Mechanism studied with a Generalized Bethe Ansatz
• Atomic Bose-Einstein condensate to molecular Bose-Einstein condensate transition
• Curving the space by non-Hermiticity
• Excitation dynamics in a lattice Bose gas within the time-dependent Gutzwiller mean-field approach
• Fractonic Luttinger Liquids and Supersolids in a Constrained Bose-Hubbard Model
• Unifying Emergent Hydrodynamics and Lindbladian Low Energy Spectra across Symmetries, Constraints, and Long-Range Interactions
• Fractonic superfluids. (II). Condensing subdimensional particles
• Hohenberg-Mermin-Wagner-type theorems and dipole symmetry
• Universal subdiffusion in strongly tilted many-body systems
• Ground state degeneracy on torus in a family of ${\mathbb{Z}}_N$ toric code
• Many-body Chemical Reactions in a Quantum Degenerate Gas
• There are no Goldstone bosons on the Bethe lattice
• Ideal fracton superfluids
• Fracton superfluid hydrodynamics
• Prethermalization and the local robustness of gapped systems
• Hydrodynamics in long-range interacting systems with center-of-mass conservation
• Deconfinement Dynamics of Fractons in Tilted Bose-Hubbard Chains
• Coherent reaction between molecular and atomic Bose-Einstein condensates: integrable model
• Hierarchical hydrodynamics in long-range multipole-conserving systems
• Exotic quantum liquids in Bose-Hubbard models with spatially-modulated symmetries
• A Quantum Breakdown Model: from Many-body Localization to Chaos with Scars
• Spontaneous symmetry breaking without ground state degeneracy in generalized $N$-state clock model
• Quantum Fragmentation in the Extended Quantum Breakdown Model
• Two-dimensional quantum breakdown model with Krylov subspace many-body localization

Cited by in corpus (3)

• Infinite-component $BF$ field theory: Connection of fracton order, Toeplitz braiding, and non-Hermitian amplification
• Exponential $U(1)$ Symmetry-Breaking Phase as a Disorder-Free Quantum Glass
• Preparing Code States via Seed-Entangler-Enriched Sequential Quantum Circuits: Application to Tetra-Digit Topological Error-Correcting Codes