
A calculated profile of a double condensate composed of both 87Rb and 85Rb atoms, with 85Rb shown on the top and 87Rb shown on the bottom for clarity. Both actually exist together at the same time inside a trap, and you can see how the empty spaces between the 85Rb bubbles would be filled by 87Rb and vice-versa! The pattern looks like a string of bubbles.
Credit: Shai Ronen
The researchers were fairly sure that the bubbles were excited states and not the ground-state condensates they had anticipated. However, there was no theory available at the time to explain what they’d observed. However, now there is a theoretical explanation, thanks to research associate Shai Ronen, Fellow John Bohn, and their colleagues from Georgia Southern University.
Ronen and his colleagues were able to simulate the formation of the bubbles during evaporative cooling of a mixture of ultracold 85Rb and 87Rb atoms. They also verified that the ground state of a dual condensate of 85Rb and 87Rb would either be a mixed-atom condensate (under conditions where the atoms mixed well) or two spatially separated condensates, one consisting of 85Rb and the other consisting of 87Rb (under conditions where mixing could not occur).
The simulations showed that when condensates form in a rapidly cooled immiscible mixture of atoms in a cigar trap, they create multiple alternating bubbles of the different atoms. And, the bubbles are far from the system's true ground state. Even so, the bubble pattern is quite stable. The repulsive interactions between the different atoms are responsible for this behavior.
When a condensate first begins to form, the interactions between 85Rb and 87Rb atoms don't affect the process much. The two species mix initially like water and milk. However, as the condensate grows and becomes denser, the repulsive interactions come into play. Eventually one type of atom, e.g., 85Rb, "wins" and pushes the condensed 87Rb atoms away from the middle. As the initial cloudlets (which are still partially mixed) continue to grow, they subdivide into more and more bubbles. The formation of new bubbles stops when each cloudlet is 100% either 85Rb or 87Rb. The components have become completely unmixed – like water and oil. The faster the mixture cools, the more bubbles form.
Although the newly formed bubbles of a given atom may 'wish' to merge together, the geometry of the trap prevents them from coalescing. For bubbles to merge, a cloudlet of 85Rb would need to "pass through" a cloudlet of 87Rb, but this is not possible because of the repulsion between them. The only way to get an immiscible mixture to form two ground-state condensates in a cigar trap would be to cool it very slowly, giving the 85Rb and 87Rb atoms enough time to condense on either end of the trap.—Julie Phillips
Reference:
Shai Ronen, John L. Bohn, Laura Elisa Halmo, and Mark Edwards, Physical Review A 78, 053613 (2008).
S. B. Papp, J. M. Pino, and C. E. Wieman, Physical Review Letters 101, 040402 (2008).