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Frontiers in Optics

Percolation in Segregated Binary Bose-Einstein Condensates

Yumiko Mizuno, Kentaro Dehara, Hiromitsu Takeuchi

Published Jan 1, 2014• 0 citations
Publisher

Abstract

Percolation is theoretically applied to pattern formation in segregated binary Bose-Einstein condensates. The percolation transition occurs when the ratio of the particle number of a component to the total particle number is around 0.5.
DOI
10.1364/fio.2014.jtu3a.16

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We perform a mean-field study of the binary Bose-Einstein condensate mixtures as a function of the mutual repulsive interaction strength. In the phase segregated regime, we find that there are two distinct phases: the weakly segregated phase characterized by a ``penetration depth'' and the strongly segregated phase characterized by a healing length. In the weakly segregated phase the symmetry of the shape of each condensate will not take that of the trap because of the finite surface tension, but its total density profile still does. In the strongly segregated phase even the total density profile takes a different symmetry from that of the trap because of the mutual exclusion of the condensates. The lower critical condensate-atom number to observe the complete phase segregation is discussed. A comparison to recent experimental data suggests that the weakly segregated phase has been observed.