Projected Gross–Pitaevskii Equation for Ring-Shaped Bose–Einstein Condensates
Keyword(s):
We propose an alternative implementation of the projected Gross–Pitaevskki equation adapted for a numerical modeling of the atomic Bose–Einstein condensate trapped in a toroidally shaped potential. We present an accurate efficient scheme to evaluate the required matrix elements and to calculate tthe ime evolution of the matter wave field. We analyze the stability and accuracy of the developed method for equilibrium and nonequilibrium solutions in a ring-shaped trap with an additional barrier potential corresponding to recent experimental realizations.
2010 ◽
Vol 24
(30)
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pp. 2911-2920
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2010 ◽
Vol 25
(06)
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pp. 459-469
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2013 ◽
Vol 27
(25)
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pp. 1350184
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2008 ◽
Vol 17
(10)
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pp. 2150-2154
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2015 ◽
Vol 84
(7)
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pp. 074003
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