Many-body Localization in Clean Chains with Long-Range Interactions
arXiv:2306.10691 · doi:10.1103/PhysRevB.108.155113
Abstract
The strong long-range interaction leads to localization in the closed quantum system without disorders. Employing the exact diagonalization method, the author numerically investigates thermalization and many-body localization in translational invariant quantum chains with finite Coulomb interactions. In the computational basis, excluding all trivial degeneracies, the interaction-induced localization is well demonstrated in aspects of level statistics, eigenstate expectation values, and the Anderson localization on graphs constructed of the many-body basis. The nature of localization for generic eigenstates is attributed to the quasi-disorder from the power-law interactions. However, due to the real-space symmetries, the long-time dynamics is dominated by the degenerate eigenstates and eventually reach homogeneity in real space. On the other hand, the entanglement entropy exhibits the size-dependence beyond the area law for the same reason, even deep in the localized state, indicating an incomplete localization in real space.
7 pages (including references), 5 figures
References in corpus (86)
- Entanglement Entropy and Quantum Field Theory
- 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
- Anderson Transitions
- 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
- 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
- Quantum many-body scars
- Exploring the many-body localization transition in two dimensions
- Many body localization in Heisenberg XXZ magnet in a random field
- Many-body localization in a quantum simulator with programmable random disorder
- Observation of entanglement propagation in a quantum many-body system
- Non-local propagation of correlations in long-range interacting quantum systems
- Generation and manipulation of Schrödinger cat states in Rydberg atom arrays
- Universal slow growth of entanglement in interacting strongly disordered systems
- Fractons
- Computational Studies of Quantum Spin 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
- Spectral signatures of many-body localization with interacting photons
- Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
- Ergodicity-breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
- Generation of Three-Qubit Entangled States using Superconducting Phase Qubits
- Controlling many-body dynamics with driven quantum scars in Rydberg atom arrays
- Observation of multi-component atomic Schrödinger cat states of up to 20 qubits
- Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
- Tunable Superfluidity and Quantum Magnetism with Ultracold Polar Molecules
- Observation of Slow Dynamics near the Many-Body Localization Transition in One-Dimensional Quasiperiodic Systems
- Multifractal Scalings across the Many-Body Localization Transition
- Exploring Localization in Nuclear Spin Chains
- Emulating many-body localization with a superconducting quantum processor
- Finite-size scaling of eigenstate thermalization
- Stark many-body localization
- Disorder-Free Localization
- Review: Local Integrals of Motion in Many-Body Localized systems
- One-dimensional quasicrystals with power-law hopping
- Quantum critical behavior at the many-body-localization transition
- Quantum Magnetism with Polar Alkali Dimers
- Statistical localization: from strong fragmentation to strong edge modes
- Dynamics of strongly interacting systems: From Fock-space fragmentation to Many-Body Localization
- Dynamics in many-body localized quantum systems without disorder
- Correlation-induced localization
- Observation of energy resolved many-body localization
- Many-Body Delocalization in Strongly Disordered System with Long-Range Interactions: Finite Size Scaling
- Prethermalization and Persistent Order in the Absence of a Thermal Phase Transition
- Stark many-body localization on a superconducting quantum processor
- Many-body localization transition with power-law interactions: Statistics of eigenstates
- Quaternion, harmonic oscillator, and high-dimensional topological states
- Multifractal dimensions for random matrices, chaotic quantum maps, and many-body systems
- Many-body critical phase: extended and nonthermal
- Duality in power-law localization in disordered one-dimensional systems
- Origin of the slow growth of entanglement entropy in long-range interacting spin systems
- Minimal model for Hilbert space fragmentation with local constraints
- Stark many-body localization: Evidence for Hilbert-space shattering
- Robustness of delocalization to the inclusion of soft constraints in long-range random models
- Many-body localization and delocalization from the perspective of Integrals of Motion
- Absence of fast scrambling in thermodynamically stable long-range interacting systems
- Many-body localization in a fragmented Hilbert space
- Fermionic many-body localization for random and quasiperiodic systems in the presence of short- and long-range interactions
- Effect of long-range hopping and interactions on entanglement dynamics and many-body localization
- Self-consistent theory of many-body localisation in a quantum spin chain with long-range interactions
- Universal algebraic growth of entanglement entropy in many-body localized systems with power-law interactions
- Many-body dynamics in long-range hopping model in the presence of correlated and uncorrelated disorder
- Out-of-equilibrium states and quasi-many-body localization in polar lattice gases
- Hilbert space shattering and disorder-free localization in polar lattice gases
- Hilbert-space fragmentation, multifractality, and many-body localization
- Investigating many-body mobility edges in isolated quantum systems
- Dynamical phase transitions in quantum spin models with antiferromagnetic long-range interactions
- Scaling of Fock-space propagator and multifractality across the many-body localization transition
- Disorderless quasi-localization of polar gases in one-dimensional lattices
- Long-Range Free Fermions: Lieb-Robinson Bound, Clustering Properties, and Topological Phases
- Many-body localization in spin chains with the long-range transverse interactions: scaling of critical disorder with the system size
- Mobility edge in long-range interacting many-body localized systems
- Hilbert space fragmentation and interaction-induced localization in the extended Fermi-Hubbard model
- Many-body localization in long range model: Real space renormalization group study
- Incommensurate many-body localization in the presence of long-range hopping and single-particle mobility edge
- Stability of electric-field-driven MBL in an interacting long range hopping model
- Lattice control of non-ergodicity in a polar lattice gas
- Topological to magnetically ordered quantum phase transition in antiferromagnetic spin ladders with long-range interactions
- Many-body localization in a quantum gas with long-range interactions and linear external potential
- Quench dynamics of two component dipolar fermions subject to a quasiperiodic potential
Cited by in corpus (7)
- The Fock-space landscape of many-body localisation
- Stability of quasicrystalline ultracold fermions to dipolar interactions
- Probing phase transitions with correlations in configuration space
- Screening in Hubbard models with long-range interactions
- On the criticality of the configuration-space statistical geometry
- Many-body spectral transitions through the lens of the variable-range SYK2 model
- Simulation of the Dissipative Dynamics of Strongly Interacting NV Centers with Tensor Networks