Three-dimensional strong localization of matter waves by scattering from atoms in a lattice with a confinement-induced resonance
arXiv:cond-mat/0604232 · doi:10.1103/PhysRevA.74.013616
Abstract
The possibility of using ultracold atoms to observe strong localization of matter waves is now the subject of a great interest, as undesirable decoherence and interactions can be made negligible in these systems. It was proposed that a static disordered potential can be realized by trapping atoms of a given species in randomly chosen sites of a deep 3D optical lattice with no multiple occupation. We analyze in detail the prospects of this scheme for observing localized states in 3D for a matter wave of a different atomic species that interacts with the trapped particles and that is sufficiently far detuned from the optical lattice to be insensitive to it. We demonstrate that at low energy a large number of 3D strongly localized states can be produced for the matter wave, if the effective scattering length describing the interaction of the matter wave with a trapped atom is of the order of the mean distance between the trapped particles. Such high values of the effective scattering length can be obtained by using a Feshbach resonance to adjust the free space inter-species scattering length and by taking advantage of confinement-induced resonances induced by the trapping of the scatterers in the lattice.
21 pages; 14 figures
References in corpus (30)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Observation of resonance condensation of fermionic atom pairs
- Condensation of Pairs of Fermionic Atoms Near a Feshbach Resonance
- Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
- Experimental Study of the BEC-BCS Crossover Region in Lithium 6
- Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
- Bose-Einstein condensation in quasi2D trapped gases
- Confinement induced molecules in a 1D Fermi gas
- A Bose-Einstein condensate in a random potential
- Heat Capacity of a Strongly-Interacting Fermi Gas
- Atom-Atom Scattering Under Cylindrical Harmonic Confinement: Numerical and Analytical Studies of the Confinement Induced Resonance
- Atomic Bose and Anderson glasses in optical lattices
- Suppression of Transport of an Interacting Elongated Bose-Einstein Condensate in a Random Potential
- Localization of bosonic atoms by fermionic impurities in a 3d optical lattice
- Three-body problem in Fermi gases with short-range interparticle interaction
- Effect of optical disorder and single defects on the expansion of a Bose-Einstein condensate in a one-dimensional waveguide
- Molecules of Fermionic Atoms in an Optical Lattice
- Resolved-sideband Raman cooling to the ground state of an optical lattice
- Routes towards Anderson-Like localization of Bose-Einstein condensates in disordered optical lattices
- Atom-molecule coherence in Bose gases
- Matterwave localization in disordered cold atom lattices
- BCS Theory for Trapped Ultracold Fermions
- Localization of Matter Waves in 2D-Disordered Optical Potentials
- Multiple scattering of light by atoms in the weak localization regime
- Atomic Fermi-Bose mixtures in inhomogeneous and random lattices: From Fermi glass to quantum spin glass and quantum percolation
- Collective dynamics and expansion of a Bose-Einstein condensate in a random potential
- Extended molecules and geometric scattering resonances in optical lattices
- Confinement-induced resonances for a two-component ultracold atom gas in arbitrary quasi-one-dimensional traps
- Coherent backscattering of light by cold atoms: theory meets experiment
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- Synthetic gauge fields in synthetic dimensions
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- SU(3) orbital Kondo effect with ultracold atoms
- Realizing a Kondo-correlated state with ultracold atoms
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- Disorder versus the Mermin-Wagner-Hohenberg effect: From classical spin systems to ultracold atomic gases
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- Induced p-wave superfluidity in two dimensions: Brane world in cold atoms and nonrelativistic defect CFTs
- Liberating Efimov physics from three dimensions
- Polarons and dressed molecules near narrow Feshbach resonances
- Transport regimes of cold gases in a two-dimensional anisotropic disorder
- Confinement-induced p-wave resonances from s-wave interactions
- Bloch oscillations of bosonic lattice polarons
- Matter-wave localization in a random potential
- A simple model for interactions and corrections to the Gross-Pitaevskii Equation
- Bound states of a localized magnetic impurity in a superfluid of paired ultracold fermions
- Disordered spinor Bose-Hubbard model
- Enhancing Kondo Coupling in Alkaline-Earth Atomic Gases with Confinement-induced Resonances in Mixed Dimensions
- Analysis of Localization Phenomena in Weakly Interacting Disordered Lattice Gases
- Matter-wave localization in a weakly perturbed optical lattice
- Tunable Polarons in Bose-Einstein Condensates
- Fermi-Bose mixture in mixed dimensions
- Quantitative study of two- and three-dimensional strong localization of matter waves by atomic scatterers
- Polaronic effects in one- and two-band quantum systems
- State engineering of impurities in a lattice by coupling to a Bose gas
- Controlling the interactions in a cold atom quantum impurity system
- A general T-matrix approach applied to two-body and three-body problems in cold atomic gases
- Controlling disorder with periodically modulated interactions
- Single-atom transistor as a precise magnetic field sensor
- Tight-Binding Kondo Model and Spin-Exchange Collision Rate of Alkaline-Earth Atoms in a Mixed-Dimensional Optical Lattice
- Glass to superfluid transition in dirty bosons on a lattice
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- Universality in s-wave and higher partial wave Feshbach resonances: an illustration with a single atom near two scattering centers
- Magnetic phases of spin-1 lattice gases with random interactions
- The extended states in disordered 1D systems in the presence of the generalized -mer correlations
- Analytical solution for the spectrum of two ultracold atoms in a completely anisotropic confinement
- Optical lattices with large scattering length: Using few-body physics to simulate an electron-phonon system
- A model study on a pair of trapped particles interacting with an arbitrary effective range
- Spin effects in Bose-Glass phases
- Magnetic-field gradiometer based on ultracold collisions
- Role of correlations and off-diagonal terms in binary disordered one dimensional systems
- Photon-assisted confinement-induced resonances for ultracold atoms
- Confinement Induced Resonance with Weak Bare Interaction in a Quasi 3+0 Dimensional Ultracold Gas
- Matter waves in two-dimensional arbitrary atomic crystals
- Confinement-Induced Resonance with Weak Background Interaction
- Bose-Hubbard model with random impurities: Multiband and nonlinear hopping effects
- Quasi-localization and quasi-mobility edge for light atoms mixed with heavy ones
- Matter Waves in Atomic Artificial Graphene
- Efimov Trimers near the Zero-crossing of a Feshbach Resonance
- Ultracold collisions of a neutral atom with a trapped ion in 1D
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- Symmetry breaking and physical properties of the bosonic single-impurity Anderson model
- Confinement-Induced Resonances in Rabi-Coupled Bosonic Mixtures
- Ground state properties of the disordered spin-one Bose-Hubbard model: a stochastic mean-field theory study
- Energy bands in a three dimension simple cubic lattice of contact potential
- Visualizing Anderson Localization in 3d using Monte Carlo method