2020
DOI: 10.1103/physrevresearch.2.033478
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Effective self-similar expansion of a Bose-Einstein condensate: Free space versus confined geometries

Abstract: We compare the exact evolution of an expanding three-dimensional Bose-Einstein condensate with that obtained from the effective scaling approach introduced in D. Guéry-Odelin [Phys. Rev. A 66, 033613 (2002)]. This approach, which consists in looking for self-similar solutions to be satisfied on average, is tested here in different geometries and configurations. We find that, in case of almost isotropic traps, the effective scaling reproduces with high accuracy the exact evolution dictated by the Gross-Pitaevsk… Show more

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Cited by 6 publications
(4 citation statements)
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“…and R i (0) is the initial Thomas-Fermi radius of the BEC along the i-th direction. It is worth to notice that recent studies 86,87 extend the analysis of Guéry-Odelin 83 and Pedri et al 84 to the BEC regime described by Castin & Dum 85 . With this set of equations the time evolution of the ensemble's size (σ r i ) and velocity distribution (σ v i ) is determined during the entire sequence of our matterwave lensing sequence by Source parameters for the instability estimation for molasses cooled, released from the optical dipole trap (ODT) with and without evaporation, and Bose-Einstein condensates (BEC and Advanced).…”
Section: Methodsmentioning
confidence: 66%
See 1 more Smart Citation
“…and R i (0) is the initial Thomas-Fermi radius of the BEC along the i-th direction. It is worth to notice that recent studies 86,87 extend the analysis of Guéry-Odelin 83 and Pedri et al 84 to the BEC regime described by Castin & Dum 85 . With this set of equations the time evolution of the ensemble's size (σ r i ) and velocity distribution (σ v i ) is determined during the entire sequence of our matterwave lensing sequence by Source parameters for the instability estimation for molasses cooled, released from the optical dipole trap (ODT) with and without evaporation, and Bose-Einstein condensates (BEC and Advanced).…”
Section: Methodsmentioning
confidence: 66%
“…Evaporative cooling. We operate a crossed optical dipole trap at a wavelength of 1960 nm loaded from a 87 Rb magneto-optical trap (details in the "Methods" section). The time-averaged potentials are generated by simultaneuos center-position modulation of the crossed laser beams in the horizontal plane.…”
Section: Resultsmentioning
confidence: 99%
“…These results can be easily generalized to the 3D case in different interaction regimes, see Ref. [18].…”
Section: Discussionmentioning
confidence: 78%
“…[16,17]. Remarkably, it turns out that the spaceaveraged self-similarity can provide an accurate description in several situations [18].…”
Section: Introductionmentioning
confidence: 99%