Self-energy of cold atoms in a long-range disordered optical potential

Yedjour, Afifa; Bahlouli, S.; Doumi, Bendouma; Mokaddem, Allel; Khachai, A. I.; Hamdache, F.

doi:10.1007/s10825-017-0953-3

Cited by 3 publications

(2 citation statements)

References 24 publications

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“…The authors of [20] have emphasized the relevance of the critical dynamics of matter waves at the 3D Anderson mobility edge in cold-atom disorder quench experiments. In addition, it has been found that the transport of atomic matter waves in 3D media is significantly affected by varying the disorder strength when approaching to the mobility edge [10,[21][22][23]. Most recently, the out-of-equilibrium dynamics of interacting disordered systems has been analyzed in [24,25].…”

Section: Introductionmentioning

confidence: 99%

Dynamic evolution of expanding Bose–Einstein condensates in the presence of a three-dimensional random optical speckle potential

2022

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We study the diffusion of an expanding Bose-Einstein condensate released from a harmonic trap in a three-dimensional speckle disorder potential. To this end, we use the first Born approximation and examine the density profiles at short and long times. Analytical results are presented in different regimes. The spatiotemporal evolution of the density profiles is examined. We find that at long times and for a fixed disorder strength, the profile of the atomic average density decreases in power law. The time evolution of the typical size of the condensate is explored numerically.

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Section: Introductionmentioning

confidence: 99%

Dynamic evolution of expanding Bose–Einstein condensates in the presence of a three-dimensional random optical speckle potential

2022

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“…Much of the analytical study of diffusion and localization of matter-wave in 3D disordered potentials that will follow depends on the approximation of the self-energy [ 65 ], which is a complex function. The relation between the Green’s functions and the former quantity is given by: …”

Section: Scba Approximation For the Self-energy And Spectral Functionmentioning

confidence: 99%

Analytical and numerical study of diffusion and localization of cold atoms in 3D optical speckles

2022

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This paper aims to study the diffusion and localization of cold atoms in three-dimensional (3D) optical speckles by using the theory of self-energy for N diffusers. In this paper, the Self-consistent Born approximation (SCBA) is used to study the diffusion and localization of cold atoms in an optical disordered speckles, while the spectral function is adopted to study the effect of the matter waves energy and the disorder amplitude on the behaviour of cold atoms. For this purpose, the models of SCBA and spectral function are computed by a numerical algorithm. The calculation of the latter quantity involves the application of Simpson’s integration methods. The diffusion and localization of a Bose–Einstein Condensate for First-order Born Approximation (FBA) and SCBA models are presented. In addition, the diffusion time and the mean free path between two diffusers are illustrated. Moreover, the effect of disorder amplitude and the scattering of matter waves in 3D disordered potentials are highlighted. In this study, the results show that the time response of cold atoms localization and metal–insulator transition in SCBA is faster and yields lower energy than the FBA approximation.

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Effect of Disorder Amplitude on the Transport of Bose Einstein Condensates at Lowest Energy

2020

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Self-energy of cold atoms in a long-range disordered optical potential

Cited by 3 publications

References 24 publications

Dynamic evolution of expanding Bose–Einstein condensates in the presence of a three-dimensional random optical speckle potential

Dynamic evolution of expanding Bose–Einstein condensates in the presence of a three-dimensional random optical speckle potential

Analytical and numerical study of diffusion and localization of cold atoms in 3D optical speckles

Effect of Disorder Amplitude on the Transport of Bose Einstein Condensates at Lowest Energy

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