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.
18 pages, 16 figures, 1 table
References in corpus (16)
- Many-Body Physics with Ultracold Gases
- 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
- Many-Body Physics with Individually-Controlled Rydberg Atoms
- Observation of persistent flow of a Bose-Einstein condensate in a toroidal trap
- Breakdown of thermalization in finite one-dimensional systems
- Tools for quantum simulation with ultracold atoms in optical lattices
- Generalized Thermalization in an Integrable Lattice System
- Persistent currents in spinor condensates
- Decay of a superfluid currents in a moving system of strongly interacting bosons
- Imprinting persistent currents in tunable fermionic rings
- Minimal model for Hilbert space fragmentation with local constraints
- Momentum-Space Entanglement Spectrum of Bosons and Fermions with Interactions
- Temperature induced decay of persistent currents in a superfluid ultracold gas
- Guide to Exact Diagonalization Study of Quantum Thermalization