Experimental study of the transport of coherent interacting matter-waves in a 1D random potential induced by laser speckle

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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“…(12). We compute the energy and the number of particles in the SF clusters using the redefined modes and the information about their population.…”

Section: Resultsmentioning

confidence: 99%

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

et al. 2014

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“…Ultracold fermionic atoms, such as 6 Li or 40 K, in disordered lattices are described by the Anderson-Hubbard…”

Section: Model Of Correlated Fermions In Speckle Disordered Opticmentioning

confidence: 99%

Localization of correlated fermions in optical lattices with speckle disorder

et al. 2010

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Strongly correlated fermions in three-and two-dimensional optical lattices with experimentally realistic speckle disorder are investigated. We extend and apply the statistical dynamical mean-field theory, which treats local correlations non-perturbatively, to incorporate on-site and hopping-type randomness on equal footing. Localization due to disorder is detected via the probability distribution function of the local density of states. We obtain a complete paramagnetic ground state phase diagram for experimentally realistic parameters and find a strong suppression of the correlationinduced metal insulator transition due to disorder. Our results indicate that the Anderson-Mott and the Mott insulator are not continuously connected due to the specific character of speckle disorder. Furthermore, we discuss the effect of finite temperature on the single-particle spectral function.

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“…Using superfluid helium in vycor glass, which represents some kind of porous media, the random distribution of pores represents a random environment [19]. Laser speckles are produced by focusing the laser beam on a glass plate, where the resulting random interference pattern is reflected to a BEC cell [20][21][22][23]. Wire traps represent magnetic traps on atomic chips where the roughness and the imperfection of the wire surface generates a disorder potential [24,25].…”

Section: Introductionmentioning

confidence: 99%