Sonic horizon formation for coupled one-dimensional Bose–Einstein condensate in an elongated harmonic potential
Keyword(s):
We theoretically studied the sonic horizon formation problem for coupled one-dimensional Bose–Einstein condensate trapped in an external elongated harmonic potential. Based on the coupled (1[Formula: see text]+[Formula: see text]1)-dimensional Gross–Pitaevskii equation and F-expansion method under Thomas–Fermi formulation, we derived analytical wave functions of a two-component system, from which the sonic horizon’s occurrence criteria and location were derived and graphically demonstrated. The theoretically derived results of sonic horizon formation agree pretty well with that from the numerically calculated values.
Keyword(s):
2017 ◽
Vol 124
(4)
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pp. 546-563
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Keyword(s):
2012 ◽
Vol 67
(3-4)
◽
pp. 141-146
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