Many-body localization in a fragmented Hilbert space
arXiv:2011.04659 · doi:10.1103/PhysRevB.103.134207
Abstract
We study many-body localization (MBL) in a pair-hopping model exhibiting strong fragmentation of the Hilbert space. We show that several Krylov subspaces have both ergodic statistics in the thermodynamic limit and a dimension that scales much slower than the full Hilbert space, but still exponentially. Such a property allows us to study the MBL phase transition in systems including more than spins. The different Krylov spaces that we consider show clear signatures of a many-body localization transition, both in the Kullback-Leibler divergence of the distribution of their level spacing ratio and their entanglement properties. But they also present distinct scalings with system size. Depending on the subspace, the critical disorder strength can be nearly independent of the system size or conversely show an approximately linear increase with the number of spins.
14 + 6 pages, all comments are welcome
References in corpus (20)
- Thermalization and its mechanism for generic isolated quantum systems
- Probing many-body dynamics on a 51-atom quantum simulator
- Localization of interacting fermions at high temperature
- Many-body localization edge in the random-field Heisenberg chain
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- Many body localization in Heisenberg XXZ magnet in a random field
- Phenomenology of fully many-body-localized systems
- Integrals of motion in the Many-Body localized phase
- Emergent SU(2) dynamics and perfect quantum many-body scars
- Recent progress in many-body localization
- Many-body localization dynamics from gauge invariance
- Eta-Pairing in Hubbard Models: From Spectrum Generating Algebras to Quantum Many-Body Scars
- Can we study the many-body localisation transition?
- Dynamics in many-body localized quantum systems without disorder
- Quantum Hall system in Tao-Thouless limit
- Systematic construction of scarred many-body dynamics in 1D lattice models
- One-Dimensional Theory of the Quantum Hall System
- Scenario for delocalization in translation invariant systems
- Coexistence of diffusive and ballistic transport in a simple spin ladder
- Explicit construction of local conserved operators in disordered many-body systems
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- Stark many-body localization: Evidence for Hilbert-space shattering
- Hilbert space fragmentation in a 2D quantum spin system with subsystem symmetries
- Unifying Emergent Hydrodynamics and Lindbladian Low Energy Spectra across Symmetries, Constraints, and Long-Range Interactions
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- Hilbert space shattering and disorder-free localization in polar lattice gases
- Observation of quantum thermalization restricted to Hilbert space fragments
- Height-conserving quantum dimer models
- Incommensurate many-body localization in the presence of long-range hopping and single-particle mobility edge
- Exploring Hilbert-Space Fragmentation on a Superconducting Processor
- Strong Hilbert space fragmentation via emergent quantum drums in two dimensions
- Interacting Thermofield Doubles and Critical Behavior in Random Regular Graphs
- Lattice control of non-ergodicity in a polar lattice gas
- A Quantum Breakdown Model: from Many-body Localization to Chaos with Scars
- Emergent symmetries in prethermal phases of periodically driven quantum systems
- Krylov Complexity as a Probe for Chaos
- Many-body Localization in Clean Chains with Long-Range Interactions
- Subspace restricted thermalization in a correlated-hopping model with strong Hilbert space fragmentation characterized by irreducible strings
- Probing Hilbert Space Fragmentation with Strongly Interacting Rydberg Atoms
- Glassy dynamics of the one-dimensional Mott insulator excited by a strong terahertz pulse
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- Enhanced many-body localization in a kinetically constrained model
- Robustness of Stark many-body localization in the - Heisenberg model
- Local integrals of motion in dipole-conserving models with Hilbert space fragmentation
- Stability of quasicrystalline ultracold fermions to dipolar interactions
- Coherence generation, symmetry algebras and Hilbert space fragmentation
- Quantum Fragmentation in the Extended Quantum Breakdown Model
- Non-Hermitian skin effect in fragmented Hilbert spaces of one-dimensional fermionic lattices
- Dynamical quantum phase transitions in Stark quantum spin chains
- Two-dimensional quantum breakdown model with Krylov subspace many-body localization
- Exact solution of the minimalist Stark many body localization problem in terms of spin pair hopping
- State-dependent mobility edge in kinetically constrained models
- Non-Hermitian Multipole Skin Effects Challenge Localization
- Probing Hilbert space fragmentation using controlled dephasing
- Hilbert space fragmentation from lattice geometry
- Correspondence between excited energy eigenstates and local minima of energy landscape in quantum spin systems
- Hierarchy of degenerate stationary states in a boundary-driven dipole-conserving spin chain