Coexistence of localized and extended phases: Many-body localization in a harmonic trap

Abstract

We show that the presence of a harmonic trap may in itself lead to many-body localization for cold atoms confined in that trap in a quasi-one-dimensional geometry. Specifically, the coexistence of delocalized phase in the center of the trap with localized region closer to the edges is predicted with the borderline dependent on the curvature of the trap. The phenomenon, similar in its origin to Stark localization, should be directly observed with cold atomic species. We discuss both the spinless and the spinful fermions, for the latter we address Stark localization at the same time as it has not been analyzed up till now.

arXiv comment6+2 pages, 7+5 figures. Close to accepted version. Accepted in Phys. Rev. Research

References in corpus (42)

• Chaos and Quantum Thermalization
• Many body localization and thermalization in quantum statistical mechanics
• Localization of interacting fermions at high temperature
• Many-body localization, thermalization, and entanglement
• Observation of many-body localization of interacting fermions in a quasi-random optical lattice
• Many-body localization edge in the random-field Heisenberg chain
• Quantum many-body scars
• Phenomenology of fully many-body-localized systems
• A phenomenology of certain many-body-localized systems
• Many-body localization in a quantum simulator with programmable random disorder
• Time-dependent variational principle for quantum lattices
• Unifying time evolution and optimization with matrix product states
• Time-evolution methods for matrix-product states
• Many-body localization: an introduction and selected topics
• Probing entanglement in a many-body-localized system
• Localization from Hilbert space shattering: from theory to physical realizations
• Local constraints can globally shatter Hilbert space: a new route to quantum information protection
• Spectral signatures of many-body localization with interacting photons
• Ergodicity-breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
• Observation of Slow Dynamics near the Many-Body Localization Transition in One-Dimensional Quasiperiodic Systems
• Exploring Localization in Nuclear Spin Chains
• Emulating many-body localization with a superconducting quantum processor
• Entanglement entropy for the long range Ising chain
• Stark many-body localization
• Fracton hydrodynamics
• Thouless time analysis of Anderson and many-body localization transitions
• From Bloch Oscillations to Many Body Localization in Clean Interacting Systems
• Quantum critical behavior at the many-body-localization transition
• Many-body localization dynamics from gauge invariance
• Can we study the many-body localisation transition?
• Nonthermal states arising from confinement in one and two dimensions
• Real Time Dynamics and Confinement in the ${\mathbb{Z}}_n$ Schwinger-Weyl lattice model for 1+1 QED
• Many-body localization and thermalization in disordered Hubbard chains
• Level statistics across the many--body localization transition
• Confinement and lack of thermalization after quenches in the bosonic Schwinger model
• Absence of full many-body localization in the disordered Hubbard chain
• Performance of the time-dependent variational principle for matrix product states in long-time evolution of a pure state
• Spin-charge separation and many-body localization
• Breakdown of adiabaticity when loading ultra-cold atoms in optical lattices
• Instability of subdiffusive spin dynamics in strongly disordered Hubbard chain
• Probing many-body localization in a disordered quantum magnet
• Slow relaxation and sensitivity to disorder in trapped lattice fermions after a quench

Cited by in corpus (32)

• Observation of Stark many-body localization without disorder
• Challenges to observation of many-body localization
• Polynomially filtered exact diagonalization approach to many-body localization
• Many-Body Localization in the Age of Classical Computing
• Stark many-body localization on a superconducting quantum processor
• Review: Quantum Metrology and Sensing with Many-Body Systems
• Many-body localization of bosons in optical lattice: Dynamics in disorder-free potentials
• Many-body localization in tilted and harmonic potentials
• Hilbert space shattering and disorder-free localization in polar lattice gases
• Probing transport and slow relaxation in the mass-imbalanced Fermi-Hubbard model
• Mobility edge of Stark many-body localization
• Stark localization as a resource for weak-field sensing with super-Heisenberg precision
• Long-range interacting Stark many-body probes with Super-Heisenberg precision
• Lattice control of non-ergodicity in a polar lattice gas
• Slow dynamics of a mobile impurity interacting with an Anderson insulator
• Many-body localization in one dimensional optical lattice with speckle disorder
• Emergent dipole moment conservation and subdiffusion in tilted chains
• Nonlinearity-enhanced quantum sensing in Stark probes
• A stabilization mechanism for many-body localization in two dimensions
• Floquet Engineering of Hilbert Space Fragmentation in Stark Lattices
• Transport in a periodically driven tilted lattice via the extended reservoir approach: Stability criterion for recovering the continuum limit
• Many-body localization regime for cavity induced long-range interacting models
• Phonon-assisted coherent transport of excitations in Rydberg-dressed atom arrays
• Tracking locality in time evolution of disordered systems
• Quantum Enhanced Sensitivity through Many-Body Bloch Oscillations
• Exact solution of the minimalist Stark many body localization problem in terms of spin pair hopping
• Nonergodic dynamics for an impurity interacting with bosons in tilted lattice
• The confluence of fractured resonances at points of dynamical, many--body flare
• Coexistence of extended and localized states in one-dimensional non-Hermitian Anderson model
• Strong Boundary and Trap Potential Effects on Emergent Physics in Ultra-Cold Fermionic Gases
• Stabilizing confined quasiparticle dynamics in one-dimensional polar lattice gases
• Nonergodic dynamics of the one-dimensional Bose-Hubbard model with a trapping potential