The influence of s-wave interactions on focussing of atoms

Roham Richberg; Andrew M. Martin

doi:10.3390/atoms9030037

The influence of s-wave interactions on focussing of atoms

Roham Richberg, Andrew M. Martin^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

The focusing of a rubidium Bose–Einstein condensate via an optical lattice potential is numerically investigated. The results are compared with a classical trajectory model which underestimates the width of the focused beam. Via the inclusion of the effects of interactions into the classical trajectories model, we show that it is possible to obtain reliable estimates for the width of the focused beam when compared to numerical integration of the Gross–Pitaevskii equation. Finally, we investigate the optimal regimes for focusing and find that for a strongly interacting Bose–Einstein condensate focusing of order 20 nm may be possible.

Original language	English
Article number	37
Journal	Atoms
Volume	9
Issue number	3
DOIs	https://doi.org/10.3390/atoms9030037
Publication status	Published - Sept 2021

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abstract = "The focusing of a rubidium Bose–Einstein condensate via an optical lattice potential is numerically investigated. The results are compared with a classical trajectory model which underestimates the width of the focused beam. Via the inclusion of the effects of interactions into the classical trajectories model, we show that it is possible to obtain reliable estimates for the width of the focused beam when compared to numerical integration of the Gross–Pitaevskii equation. Finally, we investigate the optimal regimes for focusing and find that for a strongly interacting Bose–Einstein condensate focusing of order 20 nm may be possible.",

keywords = "Atom lithography, Bose–Einstein condensate, Classical trajectories, Gross–Pitaevskii equation, Optical lattice, S-wave interactions",

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AU - Martin, Andrew M.

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N2 - The focusing of a rubidium Bose–Einstein condensate via an optical lattice potential is numerically investigated. The results are compared with a classical trajectory model which underestimates the width of the focused beam. Via the inclusion of the effects of interactions into the classical trajectories model, we show that it is possible to obtain reliable estimates for the width of the focused beam when compared to numerical integration of the Gross–Pitaevskii equation. Finally, we investigate the optimal regimes for focusing and find that for a strongly interacting Bose–Einstein condensate focusing of order 20 nm may be possible.

AB - The focusing of a rubidium Bose–Einstein condensate via an optical lattice potential is numerically investigated. The results are compared with a classical trajectory model which underestimates the width of the focused beam. Via the inclusion of the effects of interactions into the classical trajectories model, we show that it is possible to obtain reliable estimates for the width of the focused beam when compared to numerical integration of the Gross–Pitaevskii equation. Finally, we investigate the optimal regimes for focusing and find that for a strongly interacting Bose–Einstein condensate focusing of order 20 nm may be possible.

KW - Atom lithography

KW - Bose–Einstein condensate

KW - Classical trajectories

KW - Gross–Pitaevskii equation

KW - Optical lattice

KW - S-wave interactions

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DO - 10.3390/atoms9030037

M3 - Article

SN - 2218-2004

VL - 9

JO - Atoms

JF - Atoms

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M1 - 37

ER -

The influence of s-wave interactions on focussing of atoms

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