Diffuse reflection of a Bose–Einstein condensate from a rough evanescent wave mirror

Perrin, Hélène; Colombe, Yves; Mercier, B.; Lorent, V.; Henkel, Carsten

doi:10.1088/0953-4075/39/22/009

Cited by 15 publications

(21 citation statements)

References 42 publications

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“…The results presented in this section correspond to a dirty BEC with = . Regarding the geometry of the system, we see that the transversal oscillator length is much larger than the scattering length,  a l r , but still smaller than the longitudinal oscillator length, < l l r , so we are indeed in the quasi onedimensional regime [67,68]. If we estimate the value of the dimensionless quantity  g = = E E Mg n 1D int kin 2 [69], which compares the interaction and the kinetic energy of the system, where the effective 1D interaction strength is given by  = g Ma l 2 r 2 2 and n is defined in section 2, we get  g =´-2 10 1 .…”

Section: Resultsmentioning

confidence: 82%

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Analytical and numerical study of dirty bosons in a quasi-one-dimensional harmonic trap

Khellil¹,

Balaž²,

Pelster³

2016

New J. Phys.

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The emergence of a Bose-glass region in a quasi one-dimensional Bose-Einstein-condensed gas in a harmonic trapping potential with an additional delta-correlated disorder potential at zero temperature is studied using three approaches. At first, the corresponding time-independent GrossPitaevskii equation is numerically solved for the condensate wave function, and disorder ensemble averages are evaluated. In particular, we analyse quantitatively the emergence of mini-condensates in the local minima of the random potential, which occurs for weak disorder preferentially at the border of the condensate, while for intermediate disorder strength this happens in the trap centre. Second, in view of a more detailed physical understanding of this phenomenon, we extend a quite recent nonperturbative approach towards the weakly interacting dirty boson problem, which relies on the Hartree-Fock theory and is worked out on the basis of the replica method, from the homogeneous case to a harmonic confinement. Finally, in the weak disorder regime we also apply the ThomasFermi approximation, while in the intermediate disorder regime we additionally use a variational ansatz in order to describe analytically the numerically observed redistribution of the fragmented mini-condensates with increasing disorder strength.

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Section: Resultsmentioning

confidence: 82%

“…The interaction coupling strength w = g a 2 r depends on the s-wave scattering length a, which has to be positive in order to obtain a stable BEC, and the transversal trap frequency w r . Note that the latter has to be large enough, i.e.,  w W r , in order to ensure a quasi-one-dimensional setup [67,68].…”

Section: Discussionmentioning

confidence: 99%

Analytical and numerical study of dirty bosons in a quasi-one-dimensional harmonic trap

Khellil¹,

Balaž²,

Pelster³

2016

New J. Phys.

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“…To zeroth order in ∆ = η 2 /ε, the spectral functions in (52) reduce to the on-shell projector A 0 (κ, ε) = 2πδ(ε − κ 2 /2) such that…”

Section: Boltzmann Transport Of Matter Wavesmentioning

confidence: 99%

Coherent matter wave transport in speckle potentials

et al. 2007

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This article studies multiple scattering of matter waves by a disordered optical potential in two and in three dimensions. We calculate fundamental transport quantities such as the scattering mean free path ℓs, the Boltzmann transport mean free path ℓ B , and the Boltzmann diffusion constant D B , using a diagrammatic Green functions approach in the weak scattering regime. Coherent multiple scattering induces interference corrections known as weak localization which entail a reduced diffusion constant. We derive the corresponding expressions for matter wave transport in an correlated speckle potential and provide the relevant parameter values for a possible experimental study of this coherent transport regime, including the critical crossover to the regime of strong or Anderson localization.

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“…Later Perrin et at. studied the diffuse reflection of a BEC from a rough evanescent wave mirror [40]. Motivated by the crucial relevance of gravito-optical surface traps in atomic waveguides [41,42,43] and atomic chips [44,45,46,47], in this paper we study the special case of a quasi one-dimensional Bose-Einstein condensate which is trapped orthogonal to the prism surface along the vertical axis.…”

Section: Introductionmentioning

confidence: 99%

Quasi one-dimensional Bose–Einstein condensate in a gravito-optical surface trap

Akram¹,

Girodias²,

Pelster³

2016

J. Phys. B: At. Mol. Opt. Phys.

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Abstract. We study both static and dynamic properties of a weakly interacting BoseEinstein condensate (BEC) in a quasi one-dimensional gravito-optical surface trap, where the downward pull of gravity is compensated by the exponentially decaying potential of an evanescent wave. First, we work out approximate solutions of the Gross-Pitaevskii equation for both a small number of atoms using a Gaussian ansatz and a larger number of atoms using the Thomas-Fermi limit. Then we confirm the accuracy of these analytical solutions by comparing them to numerical results. From there, we numerically analyze how the BEC cloud expands non-ballistically, when the confining evanescent laser beam is shut off, showing agreement between our theoretical and previous experimental results. Furthermore, we analyze how the BEC cloud expands non-ballistically due to gravity after switching off the evanescent laser field in the presence of a hard-wall mirror which we model by using a blue-detuned far-off-resonant sheet of light. There we find that the BEC shows significant self-interference patterns for a large number of atoms, whereas for a small number of atoms, a revival of the BEC wave packet with few matter-wave interference patterns is observed.

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Diffuse reflection of a Bose–Einstein condensate from a rough evanescent wave mirror

Cited by 15 publications

References 42 publications

Analytical and numerical study of dirty bosons in a quasi-one-dimensional harmonic trap

Analytical and numerical study of dirty bosons in a quasi-one-dimensional harmonic trap

Coherent matter wave transport in speckle potentials

Quasi one-dimensional Bose–Einstein condensate in a gravito-optical surface trap

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