Ultraslow Growth of Number Entropy in an l-bit Model of Many-Body Localization
arXiv:2312.13420 · doi:10.1103/PhysRevLett.133.126502
Abstract
We demonstrate that slow growth of the number entropy following a quench from a local product state is consistent with many-body localization. To do this we construct a random circuit l-bit model with exponentially localized l-bits and exponentially decaying interactions between them. We observe an ultraslow growth of the number entropy starting from a Néel state, saturating at a value that grows with system size. This suggests that the observation of such growth in microscopic models is not sufficient to rule out many-body localization.
Main: 7 pages, 2 figures. Supplemental material: 7 pages, 9 figures, 1 table, 1 video
References in corpus (24)
- The density-matrix renormalization group in the age of matrix product states
- Localization of interacting fermions at high temperature
- Many body localization in Heisenberg XXZ magnet in a random field
- Phenomenology of fully many-body-localized systems
- Matrix product states represent ground states faithfully
- Integrals of motion in the Many-Body localized phase
- Minimally Entangled Typical Thermal State Algorithms
- Constructing local integrals of motion in the many-body localized phase
- Avalanches and many-body resonances in many-body localized systems
- Ergodicity Breaking Transition in Finite Disordered Spin Chains
- Evidence for unbounded growth of the number entropy in many-body localized phases
- Challenges to observation of many-body localization
- Absence of true localization in many-body localized phases
- Markovian baths and quantum avalanches
- Many-body localisation implies that eigenvectors are matrix-product states
- Entanglement spreading in a many-body localized system
- A constructive theory of the numerically accessible many-body localized to thermal crossover
- Is there slow particle transport in the MBL phase?
- Phenomenology of the Prethermal Many-Body Localized Regime
- Resonance-induced growth of number entropy in strongly disordered systems
- Logarithmic Entanglement Lightcone in Many-Body Localized Systems
- Unlimited growth of particle fluctuations in many-body localized phases
- The internal clock of many-body delocalization
- Particle fluctuations and the failure of simple effective models for many-body localized phases
Cited by in corpus (11)
- Nonstabilizerness dynamics in many-body localized systems
- Hilbert space fragmentation at the origin of disorder-free localization in the lattice Schwinger model
- Cat states carrying long-range correlations in the many-body localized phase
- Logarithmic light cone, slow entanglement growth, and quantum memory
- Entanglement dynamics and eigenstate correlations in strongly disordered quantum many-body systems
- Scaling of many-body localization transitions: Quantum dynamics in Fock space and real space
- Symmetry- and energy-resolved entanglement dynamics in a disordered Bose-Hubbard model
- Quasiconservation Laws and Suppressed Transport in Weakly Interacting Localized Models
- Numerical Study of Disordered Noninteracting Chains Coupled to a Local Lindblad Bath
- Many-body localization and particle multioccupancy in the disordered Bose-Hubbard model
- Operator delocalization in disordered spin chains via exact MPO marginals