Many-body localization in a quantum gas with long-range interactions and linear external potential
arXiv:2201.13090 · doi:10.1103/PhysRevB.105.184307
Abstract
We study theoretically transitions between the localized and chaotic many-body regimes in one-dimensional quantum lattice systems with long-range couplings between particles and linear external potential. In terms of established criteria characterizing localization, we construct effective phase diagrams for several types of lattice systems with variable amplitude of the external linear tilt and interaction strength. By means of exact diagonalization and time-dependent variational principle numerical approaches we analyze system dynamics after quenches. Our results reveal that the Stark localization without any artificial source of disorder remains stable upon inclusion of long-range interactions.
published version, 14 pages, 11 figures
References in corpus (53)
- Many-Body Physics with Ultracold Gases
- Chaos and Quantum Thermalization
- 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
- Localization of interacting fermions at high temperature
- Many-body localization, thermalization, and entanglement
- Efficient simulation of one-dimensional quantum many-body systems
- The many-body localization phase transition
- Unbounded growth of entanglement in models of many-body localization
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- Many body localization in Heisenberg XXZ magnet in a random field
- Many-body localization in a quantum simulator with programmable random disorder
- Unifying time evolution and optimization with matrix product states
- Many-body localization: an introduction and selected topics
- Universal slow growth of entanglement in interacting strongly disordered systems
- Quantum Many-Body Scars and Weak Breaking of Ergodicity
- Fermi-Hubbard physics with atoms in an optical lattice
- 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 phases from competing short- and long-range interactions in an optical lattice
- Ergodicity-breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
- QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
- Rydberg atom quantum technologies
- Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics
- QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems. Part II: bosons, fermions and higher spins
- Entanglement Entropy dynamics in Heisenberg chains
- Many-body Localization with Dipoles
- Observing non-ergodicity due to kinetic constraints in tilted Fermi-Hubbard chains
- Stark many-body localization
- From Bloch Oscillations to Many Body Localization in Clean Interacting Systems
- Many-body localization dynamics from gauge invariance
- Obtaining highly-excited eigenstates of many-body localized Hamiltonians by the density matrix renormalization group
- Ultracold Dipolar Gases in Optical Lattices
- Many-Body Delocalization in Strongly Disordered System with Long-Range Interactions: Finite Size Scaling
- Many-body localization and thermalization in disordered Hubbard chains
- Fixed points of Wegner-Wilson flows and many-body localization
- Phase Transitions in a Bose-Hubbard Model with Cavity-Mediated Global-Range Interactions
- Localization in a random model with the long-range interaction: Intermediate case between single particle and many-body problems
- Efficient variational diagonalization of fully many-body localized Hamiltonians
- Can many-body localization persist in the presence of long-range interactions or long-range hopping?
- Many-body localization of bosons in optical lattice: Dynamics in disorder-free potentials
- Fractons from confinement in one dimension
- Many-body localization in presence of cavity mediated long-range interactions
- Bloch dynamics in lattices with long range hoppings
- Quantum relaxation and metastability of lattice bosons with cavity-induced long-range interactions
- Mobility edge of Stark many-body localization
- Quasi-Many-Body Localization of Interacting Fermions with Long-Range Couplings
- Stark many-body localization transitions in superconducting circuits
- Many-body localization and enhanced non-ergodic sub-diffusive regime in the presence of random long-range interactions
- Stability of electric-field-driven MBL in an interacting long range hopping model
- Robustness of Stark many-body localization in the - Heisenberg model
- Many-body localization regime for cavity induced long-range interacting models