dorsal/arxiv
View SchemaGeometric Phase in a Bose-Einstein Josephson Junction
| Authors | Radha Balakrishnan, Mitaxi Mehta |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0307022 |
| URL | https://arxiv.org/abs/quant-ph/0307022 |
Abstract
We calculate the geometric phase associated with the time evolution of the wave function of a Bose-Einstein condensate system in a double-well trap by using a model for tunneling between the wells. For a cyclic evolution, this phase is shown to be half the solid angle subtended by the evolution of a unit vector whose z component and azimuthal angle are given by the population difference and phase difference between the two condensates. For a non-cyclic evolution an additional phase term arises. We show that the geometric phase can also be obtained by mapping the tunneling equations onto the equations os a space curve. The importance of a geometric phase in the context of some recent experiments is pointed out.
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"abstract": "We calculate the geometric phase associated with the time evolution of the\nwave function of a Bose-Einstein condensate system in a double-well trap by\nusing a model for tunneling between the wells. For a cyclic evolution, this\nphase is shown to be half the solid angle subtended by the evolution of a unit\nvector whose z component and azimuthal angle are given by the population\ndifference and phase difference between the two condensates. For a non-cyclic\nevolution an additional phase term arises. We show that the geometric phase can\nalso be obtained by mapping the tunneling equations onto the equations os a\nspace curve. The importance of a geometric phase in the context of some recent\nexperiments is pointed out.",
"arxiv_id": "quant-ph/0307022",
"authors": [
"Radha Balakrishnan",
"Mitaxi Mehta"
],
"categories": [
"quant-ph"
],
"title": "Geometric Phase in a Bose-Einstein Josephson Junction",
"url": "https://arxiv.org/abs/quant-ph/0307022"
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