Incommensurate many-body localization in the presence of long-range hopping and single-particle mobility edge

Abstract

We study many-body localization (MBL) in the quasiperiodic $t_1$-$t_2$ model, focusing on the role of next-nearest-neighbor (NNN) hopping $t_2$, which introduces a single-particle mobility edge. The calculated phase diagram can be divided into three distinct regimes, depending on the strength of the short-range interaction $U$. For weak interactions ($U\ll t_1$), this model is always nonthermal. For intermediate interactions ($U\sim t_1$), the thermal-MBL phase transition in this model is qualitatively the same as that of the Aubry-Andre (AA) model, which is consistent with existing experimental observations. For strong interactions $(U\gg t_1)$, the NNN hopping produces qualitatively new physics because it breaks down the Hilbert space fragmentation present in the AA model. The NNN hopping is thus irrelevant when the interaction is intermediate but relevant for strong interactions.

arXiv comment12 pages, 13 figures. Comments are welcome

References in corpus (50)

• Chaos and Quantum Thermalization
• Many body localization and thermalization in quantum statistical mechanics
• Many-body localization, thermalization, and entanglement
• The Kernel Polynomial Method
• Local conservation laws and the structure of the many-body localized states
• On Many-Body Localization for Quantum Spin Chains
• Universal dynamics and renormalization in many body localized systems
• Localization from Hilbert space shattering: from theory to physical realizations
• Local constraints can globally shatter Hilbert space: a new route to quantum information protection
• Ergodicity-breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
• Many-Body Localization in a Quasiperiodic System
• Nearest neighbor tight binding models with an exact mobility edge in one dimension
• Quantum chaos challenges many-body localization
• Predicted mobility edges in one-dimensional incommensurate optical lattices: An exactly solvable model of Anderson localization
• Exploring the Single-Particle Mobility Edge in a One-Dimensional Quasiperiodic Optical Lattice
• Diagonalization and Many-Body Localization for a Disordered Quantum Spin Chain
• Avalanches and many-body resonances in many-body localized systems
• Observation of Slow Dynamics near the Many-Body Localization Transition in One-Dimensional Quasiperiodic Systems
• Two universality classes for the many-body localization transition
• Mobility Edges in 1D Bichromatic Incommensurate Potentials
• Probing Slow Relaxation and Many-Body Localization in Two-Dimensional Quasi-Periodic Systems
• Observation of many-body localization in a one-dimensional system with single-particle mobility edge
• Thouless time analysis of Anderson and many-body localization transitions
• Review: Local Integrals of Motion in Many-Body Localized systems
• Hilbert-Space Fragmentation from Strict Confinement
• Dynamical obstruction to localization in a disordered spin chain
• Distinguishing localization from chaos: challenges in finite-size systems
• Observation of tunable mobility edges in generalized Aubry-André lattices
• Localization in one dimensional lattices with non-nearest-neighbor hopping: Generalized Anderson and Aubry-André models
• Spectral features of a many-body localized system weakly coupled to a heat bath
• Can we study the many-body localisation transition?
• Dynamics of a Many-Body-Localized System Coupled to a Bath
• Dynamics of strongly interacting systems: From Fock-space fragmentation to Many-Body Localization
• Markovian baths and quantum avalanches
• Mobility edge and intermediate phase in one-dimensional incommensurate lattice potentials
• Observation of energy resolved many-body localization
• Engineering a flux-dependent mobility edge in disordered zigzag chains
• Accessing scrambling using matrix product operators
• Many-body delocalization in the presence of a quantum bath
• The forward approximation as a mean field approximation for the Anderson and Many Body Localization transitions
• Universality in the onset of quantum chaos in many-body systems
• Butterfly effect in interacting Aubry-Andre model: thermalization, slow scrambling, and many-body localization
• Dynamics and Transport at the Threshold of Many-Body Localization
• A many body localization proximity effect
• Localized systems coupled to small baths: from A${}_{nderson}$ to Z${}_{eno}$
• Many-body localization in the presence of a small bath
• Many-body localization in a fragmented Hilbert space
• General theory of many body localized systems coupled to baths
• Fermionic many-body localization for random and quasiperiodic systems in the presence of short- and long-range interactions
• Self-consistent theory of many-body localisation in a quantum spin chain with long-range interactions

Cited by in corpus (11)

• Power law hopping of single particles in one-dimensional non-Hermitian quasicrystals
• Localization spectrum of a bath-coupled generalized Aubry-André model in the presence of interactions
• Many-body Localization in Clean Chains with Long-Range Interactions
• Long-range hopping in a quasiperiodic potential weakens the non-Hermitian skin effect
• Flux enhanced localization and reentrant delocalization in the quench dynamics of two interacting bosons on a Bose-Hubbard ladder
• Interaction-enhanced many body localization in a generalized Aubry-Andre model
• Interacting quasiperiodic spin chains in the prethermal regime
• Entanglement growth and information capacity in a quasiperiodic system with a single-particle mobility edge
• Statistics of noninteracting many-body fermionic states: The question of a many-body mobility edge
• Unsupervised machine learning for detecting mutual independence among eigenstate regimes in interacting quasiperiodic chains
• Many-body localization in a slowly varying potential