Detecting Many-Body-Localization Length with Cold Atoms
arXiv:1707.01510 · doi:10.1103/PhysRevA.97.033622
Abstract
Considering ultracold atoms in optical lattices, we propose experimental protocols to study many-body localization (MBL) length and criticality in quench dynamics. Through numerical simulations with exact diagonalization, we show that in the MBL phase the perturbed density profile following a local quench remains exponentially localized in post-quench dynamics. The size of this density profile after long-time-dynamics defines a localization length, which tends to diverge at the MBL-to-ergodic transition as we increase the system size. The determined localization transition point agrees with previous exact diagonalization calculations using other diagnostics. Our numerical results provide evidence for violation of Harris-Chayes bound for the MBL criticality. The critical exponent can be extracted from our proposed dynamical procedure, which can then be used directly in experiments to determine whether the Harris-Chayes-bound holds for the MBL transition. These proposed protocols to detect localization criticality are justified by benchmarking to the well-established results for the non-interacting 3D Anderson localization.
8 pages, 7 figures
References in corpus (20)
- Many-Body Physics with Ultracold Gases
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Many body localization and thermalization in quantum statistical mechanics
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Localization of interacting fermions at high temperature
- Many-body localization edge in the random-field Heisenberg chain
- Phenomenology of fully many-body-localized systems
- Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
- Integrals of motion in the Many-Body localized phase
- Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
- Many-Body Localization in a Quasiperiodic System
- A Quantum Gas Microscope for Fermionic Atoms
- Non-standard Hubbard models in optical lattices: a review
- Constructing local integrals of motion in the many-body localized phase
- Signatures of Many-Body Localization in a Controlled Open Quantum System
- Probing Slow Relaxation and Many-Body Localization in Two-Dimensional Quasi-Periodic Systems
- Formation of matter-wave soliton trains by modulational instability
- Observation of canted antiferromagnetism with ultracold fermions in an optical lattice
- Observation of a Modulational Instability in Bose-Einstein condensates
- Logarithmic Entanglement Lightcone in Many-Body Localized Systems