Bose-Einstein Condensate in a Random Potential

Lye, Jessica; Fallani, Leonardo; Modugno, Michèle; Wiersma, Diederik S.; Fort, C.; Inguscio, M.

doi:10.1103/physrevlett.95.070401

Cited by 390 publications

(556 citation statements)

References 38 publications

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“…[15][16][17]39,40 A statistical analysis of the scattering process 41 shows that the probability distribution function (PDF) of the resulting light intensity pattern obeys p I (I) = Θ(I) exp(−I/ I )/ I , where I is the averaged light intensity and Θ(x) denotes the Heaviside function. By superimposing the speckle light pattern onto the optical lattice, the atoms are subjected to a random optical dipole potential V D (r) ∝ I(r), 40 which is attractive for red-detuned laser light or repulsive for blue-detuned laser light.…”

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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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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“…Fifty years after the prediction of Anderson localization [1] of electron wave in a disorder potential, the recent experimental localization [2,3] of a non-interacting cigar-shaped Bose-Einstein condensate (BEC) in a quasiperiodic bichromatic optical-lattice (OL) [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] and speckle [23] potentials has drawn much attention of research workers. The quasi-periodic bichromatic OL potential [5] used in the localization of a non-interacting BEC [4] was formed by the superposition of two standingwave polarized laser beams with incommensurate wavelengths.…”

Section: Introductionmentioning

confidence: 99%

Spatially-antisymmetric localization of matter wave in a bichromatic optical lattice

Cheng

Adhikari

2010

Laser Phys. Lett.

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By direct numerical simulation of the time-dependent Gross-Pitaevskii equation using the splitstep Fourier spectral method we study the double-humped localization of a cigar-shaped BoseEinstein condensate (BEC) in a one-dimensional bichromatic quasi-periodic optical-lattice potential, as used in a recent experiment on the localization of a BEC [Roati et al., Nature 453, 895 (2008)]. Such states are spatially antisymmetric and are excited modes of Anderson localization. Where possible, we have compared the numerical results with a variational analysis. We also demonstrate the stability of the localized double-humped BEC states under small perturbation.

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“…In recent years however, weaklyinteracting dilute Bose gases, especially those trapped in optical dipole potentials, have become increasingly important in this field [8,9,10,11]. An important advantage of these systems is their flexibility and their ease of control over important experimental parameters.…”

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confidence: 99%

“…[15] and [16]. Following recent experiments we define ∆ = 2σ SP , where σ SP is the standard deviation of P (ε i ) [8,10]. For a speckle, ε i = σ SP .…”

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Bosons in Disordered Optical Potentials

Louis

Tsubota

2007

J Low Temp Phys

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In this work we systematically investigate the condensate properties, superfluid properties and quantum phase transitions in interacting Bose gases trapped in disordered optical potentials. We numerically solve the Bose-Hubbard Hamiltonian exactly for different: (a) types of disorder, (b) disorder strengths, and (c) interatomic interactions. The three types of disorder studied are: quasiperiodic disorder, uniform random disorder and random speckle-type disorder. We find that the Bose glass, as identified by Fisher et al. [Phys. Rev. B 40, 546 (1989) [2] were able to describe an insulating state in disordered lattices which exists due to the cooperative effect of repulsive interactions and disorder. This 'Bose glass' (BG) is gapless and compressible. Taking an alternative approach with a microscopic low-density model involving a dilute low-temperature hard-sphere gas with random scatterers in the limit of weak disorder, Huang and Meng [3] and Giorgini et al. [4] found that the superfluid is more depleted by the disorder than the condensate. That is, there exists BEC without superfluidity.It was shown previously using the disordered BoseHubbard model that it is possible to obtain a normal condensate fraction for certain parameters [5] and that there is a normal condensate fraction in the Bose glass phase for quasiperiodic disorder [6]. In this work we show that the parameter regime where this occurs can be identified with the BG region described by Fisher et al. [2] by showing that the BG phase and the normal condensate phase occur together as we change the interaction strength, disorder strength and the type of disorder. We also find that in the BG regime the spatial correlations go to zero with distance but remain significant over multiple lattice sites.Our second goal is to show how the properties of 'dirty' Bose gases change with: (a) the type of disorder, (b) the disorder strength, and (c) the interatomic interaction strength, especially with respect to the existence of condensate without superfluidity. We show that there are significant differences in the phase diagram as we change the type of disorder and the nature of the differences depend on the type of disorder.To date the majority of the work on 'dirty' bosons has focused on liquid 4 He in porous materials such as Vycor glass or aerogel [7]. In recent years however, weaklyinteracting dilute Bose gases, especially those trapped in optical dipole potentials, have become increasingly important in this field [8,9,10,11]. An important advantage of these systems is their flexibility and their ease of control over important experimental parameters. This can be seen in recent experiments in which a variety of different types of disordered optical potentials of controllable strength were studied e.g., quasiperiodic lattices [11], speckle potentials [8,9], and lattices with superimposed disorder [10]. These recent experimental developments make an exploration of how condensate and superfluid properties change with the properties of the disorder increasingly rele...

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Bose-Einstein Condensate in a Random Potential

Cited by 390 publications

References 38 publications

Localization of correlated fermions in optical lattices with speckle disorder

Localization of correlated fermions in optical lattices with speckle disorder

Spatially-antisymmetric localization of matter wave in a bichromatic optical lattice

Bosons in Disordered Optical Potentials

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