Ultracold Atoms in Optical Lattices with Random On-Site Interactions

Gimperlein, Heiko; Wessel, Stefan; Schmiedmayer, Jörg; Santos, Luís

doi:10.1103/physrevlett.95.170401

Cited by 95 publications

(110 citation statements)

References 32 publications

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“…1) corresponds for these parameters to the grating period ≈ 6µm and the soliton velocity ≈ 8mm/s. The random modulations with the deviation strength is a s /a s1 = 0.1 can be achieved by the random distribution of the current in wire along the atom chip [15]. For the soliton velocity v s = 2c, and the initial number of atoms in soliton is ∼ 10 3 , we find then the soliton decay time T c ∼ 50, which is equal to ∼ 0.1s in physical units.…”

mentioning

confidence: 77%

“…For example if we consider the one-dimensional Bose gas close to the magnetic wire, then by small variations of the current one can induce spatially random magnetic field fluctuations. This in turn generates random spatial fluctuations of the strength of the interatomic interactions [15,16]. Such variations can be achieved also by the optically induced FR [17,18].…”

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confidence: 99%

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Propagation of matter-wave solitons in periodic and random nonlinear potentials

2005

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We study the motion of bright matter wave solitons in nonlinear potentials, produced by periodic or random spatial variations of the atomic scattering length. We obtain analytical results for the soliton motion, the radiation of matter wave, and the radiative soliton decay in such configurations of the Bose-Einstein condensate. The stable regimes of propagation are analyzed. The results are in remarkable agreement with the numerical simulations of the Gross-Pitaevskii equation with periodic or random spatial variations of the mean field interactions.

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confidence: 77%

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confidence: 99%

Propagation of matter-wave solitons in periodic and random nonlinear potentials

2005

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“…That is closely related to the problem of so-called sorting in periodic potentials [29]. Other problem to be addressed concerns ultracold atoms in optical lattices subject to random potentials [30], which might promising not only from a purely scientific point of view, but also with prospects for many technological applications. We note that the theoretical description of the above mentioned topics relies essentially on the Langevin-like equation input.…”

Section: Discussionmentioning

confidence: 99%

Lévy flights in confining environments: Random paths and their statistics

Żaba

Garbaczewski

Stephanovich

2013

Physica A: Statistical Mechanics and its Applications

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We analyze a specific class of random systems that are driven by a symmetric Lévy stable noise. In view of the Lévy noise sensitivity to the confining "potential landscape" where jumps take place (in other words, to environmental inhomogeneities), the pertinent random motion asymptotically sets down at the Boltzmann-type equilibrium, represented by a probability density function (pdf) ρ * (x) ∼ exp[−Φ(x)]. Since there is no Langevin representation of the dynamics in question, our main goal here is to establish the appropriate path-wise description of the underlying jump-type process and next infer the ρ(x, t) dynamics directly from the random paths statistics. A priori given data are jump transition rates entering the master equation for ρ(x, t) and its target pdf ρ * (x). We use numerical methods and construct a suitable modification of the Gillespie algorithm, originally invented in the chemical kinetics context. The generated sample trajectories show up a qualitative typicality, e.g. they display structural features of jumping paths (predominance of small vs large jumps) specific to particular stability indices µ ∈ (0, 2).

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“…The Bose-Hubbard model with different forms of diagonal disorder has been reviewed in [34] while random onsite interactions have been considered in [35] It has been shown recently that the simple BoseHubbard description for fermion-boson mixture may not be adequate for stronger interspecies interactions. The shift of the observed transition between the superfluid (SF) and the MI phases, observed experimentally in Refs.…”

Section: Introductionmentioning

confidence: 99%

Bose-Hubbard model with random impurities: Multiband and nonlinear hopping effects

et al. 2014

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We investigate the phase diagrams of theoretical models describing bosonic atoms in a lattice in the presence of randomly localized impurities. By including multiband and nonlinear hopping effects we enrich the standard model containing only the chemical-potential disorder with the sitedependent hopping term. We compare the extension of the MI and the BG phase in both models using a combination of the local mean-field method and a Hartree-Fock-like procedure, as well as, the Gutzwiller-ansatz approach. We show analytical argument for the presence of triple points in the phase diagram of the model with chemical-potential disorder. These triple points however, cease to exists after the addition of the hopping disorder.

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Ultracold Atoms in Optical Lattices with Random On-Site Interactions

Cited by 95 publications

References 32 publications

Propagation of matter-wave solitons in periodic and random nonlinear potentials

Propagation of matter-wave solitons in periodic and random nonlinear potentials

Lévy flights in confining environments: Random paths and their statistics

Bose-Hubbard model with random impurities: Multiband and nonlinear hopping effects

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