Dynamics of pattern-loaded fermions in bichromatic optical lattices
arXiv:1508.00472 · doi:10.1103/PhysRevA.93.031601
Abstract
Motivated by experiments in Munich (M. Schreiber et. al. Science \textbf{349}, 842), we study the dynamics of interacting fermions initially prepared in charge density wave states in one-dimensional bichromatic optical lattices. The experiment sees a marked lack of thermalization, which has been taken as evidence for an interacting generalization of Anderson localization, dubbed "many-body localization". We model the experiments using an interacting Aubry-Andre model and develop a computationally efficient low-density cluster expansion to calculate the even-odd density imbalance as a function of interaction strength and potential strength. Our calculations agree with the experimental results and shed light on the phenomena. We also explore a two-dimensional generalization. The cluster expansion method we develop should have broad applicability to similar problems in non-equilibrium quantum physics.
arXiv comment8 pages, 5 figures; new figures showing direct comparison to experimental data and t-DMRG simulations, modified discussion of convergence properties of cluster expansion; construction of local integrals of motion
References in corpus (28)
- Many body localization and thermalization in quantum statistical mechanics
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Anderson localization of a non-interacting Bose-Einstein condensate
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- Real time evolution using the density matrix renormalization group
- Quantum many-body systems out of equilibrium
- Interacting electrons in disordered wires: Anderson localization and low-temperature transport
- Phenomenology of fully many-body-localized systems
- A phenomenology of certain many-body-localized systems
- Local conservation laws and the structure of the many-body localized states
- Universal dynamics and renormalization in many body localized systems
- Integrals of motion in the Many-Body localized phase
- Three-dimensional localization of ultracold atoms in an optical disordered potential
- Fermionic transport in a homogeneous Hubbard model: Out-of-equilibrium dynamics with ultracold atoms
- Many-Body Localization in a Quasiperiodic System
- Three-Dimensional Anderson Localization of Ultracold Matter
- Theory of the many-body localization transition in one dimensional systems
- Constructing local integrals of motion in the many-body localized phase
- Quantum quenches in the many-body localized phase
- Many body localization and quantum non-ergodicity in a model with a single-particle mobility edge
- Early breakdown of area-law entanglement at many-body delocalization transition
- Many body localization in the presence of a single particle mobility edge
- Double butterfly spectrum for two interacting particles in the Harper model
- Anderson localization of pairs in bichromatic optical lattices
- Two interacting particles in the Harper model
- Two interacting particles at the metal-insulator transition
- Testing the universality of the many-body metal-insulator transition by time evolution of a disordered one-dimensional ultracold fermionic gas
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- Coupling Identical 1D Many-Body Localized Systems
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- Signatures of the single particle mobility edge in the ground state properties of Tonks-Girardeau and non-interacting Fermi gases in a bichromatic potential
- Benchmarking a novel efficient numerical method for localized 1D Fermi-Hubbard systems on a quantum simulator
- Decay of density waves in coupled one-dimensional many-body-localized systems
- Two-body mobility edge in the Anderson-Hubbard model in three dimensions: Molecular versus scattering states
- Absence of two-body delocalization transitions in the two-dimensional Anderson-Hubbard model
- Cooling Quantum Gases with Entropy Localization