Persistent-current states originating from the Hilbert space fragmentation in momentum space
arXiv:2211.00785 · doi:10.1103/PhysRevA.108.063316
Abstract
Hilbert space fragmentation (HSF) is a phenomenon that the Hilbert space of an isolated quantum system splits into exponentially many disconnected subsectors. The fragmented systems do not thermalize after long-time evolution because the dynamics are restricted to a small subsector. Inspired by recent developments of the HSF, we construct the Hamiltonian that exhibits the HSF in the momentum space. We show that persistent-current (PC) states emerge due to the HSF in the momentum space. We also investigate the stability of the PC states against the random potential, which breaks the structure of the HSF, and find that the decay rate of the PC is almost independent of the current velocity.
arXiv comment18 pages, 16 figures, 1 table
References in corpus (59)
- Many-Body Physics with Ultracold Gases
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Probing many-body dynamics on a 51-atom quantum simulator
- Many body localization and thermalization in quantum statistical mechanics
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Many-body localization, thermalization, and entanglement
- Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
- Average Entropy of a Subsystem
- Superconducting Qubits: Current State of Play
- Many-Body Physics with Individually-Controlled Rydberg Atoms
- Quantum many-body scars
- Quantum information processing with superconducting circuits: a review
- Programmable Quantum Simulations of Spin Systems with Trapped Ions
- Generalized Gibbs ensemble in integrable lattice models
- Time-evolution methods for matrix-product states
- Quantum Simulators: Architectures and Opportunities
- Observation of persistent flow of a Bose-Einstein condensate in a toroidal trap
- Quantum Many-Body Scars and Weak Breaking of Ergodicity
- Breakdown of thermalization in finite one-dimensional systems
- Superflow in a toroidal Bose-Einstein condensate: an atom circuit with a tunable weak link
- Universal dynamics and renormalization in many body localized systems
- Thermalization and prethermalization in isolated quantum systems: a theoretical overview
- 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
- Quantum scarred eigenstates in a Rydberg atom chain: entanglement, breakdown of thermalization, and stability to perturbations
- Tools for quantum simulation with ultracold atoms in optical lattices
- Ergodicity-breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
- Generalized Thermalization in an Integrable Lattice System
- Observing non-ergodicity due to kinetic constraints in tilted Fermi-Hubbard chains
- Quantised supercurrent decay in an annular Bose-Einstein condensate
- Quantum quenches and thermalization in one-dimensional fermionic systems
- Strongly inhibited transport of a 1D Bose gas in a lattice
- Persistent currents in spinor condensates
- Hilbert-Space Fragmentation from Strict Confinement
- Roadmap on Atomtronics: State of the art and perspective
- Atomtronic circuits: from many-body physics to quantum technologies
- Dynamics of strongly interacting systems: From Fock-space fragmentation to Many-Body Localization
- Quaternion, harmonic oscillator, and high-dimensional topological states
- Decay of a superfluid currents in a moving system of strongly interacting bosons
- Imprinting persistent currents in tunable fermionic rings
- General Features of the Relaxation Dynamics of Interacting Quantum Systems
- Persistent currents in rings of ultracold fermionic atoms
- Survival probability in Generalized Rosenzweig-Porter random matrix ensemble
- Minimal model for Hilbert space fragmentation with local constraints
- Momentum-Space Entanglement Spectrum of Bosons and Fermions with Interactions
- Emergence of Hilbert Space Fragmentation in Ising Models with a Weak Transverse Field
- Supercurrent Stability in a Quasi-1D Weakly Interacting Bose Gas
- Superfluidity versus Bloch oscillations in confined atomic gases
- Exact Quantum Scars in the Chiral Non-Linear Luttinger Liquid
- Lifshitz-like transition and enhancement of correlations in a rotating bosonic ring lattice
- Temperature induced decay of persistent currents in a superfluid ultracold gas
- Quantum phase slips in one-dimensional superfluids in a periodic potential
- Guide to Exact Diagonalization Study of Quantum Thermalization
- Velocity-dependent quantum phase slips in 1D atomic superfluids
- Universal damping behavior of dipole oscillations of one-dimensional ultracold gases induced by quantum phase slips
- Accurate numerical verification of the instanton method for macroscopic quantum tunneling: dynamics of phase slips
- Thermally activated phase slips of one-dimensional Bose gases in shallow optical lattices