Equilibrium Properties of two Bose-Einstein Condensates in a Trapping Potential
碩士 === 國立東華大學 === 應用物理研究所 === 97 === We investigate the ground state configuration under the mean-field approximation for two interacting Bose-Einstein condensates (BECs) trapped in a cigar-shaped potential. Using the steepest decent method we find the corresponding lowest energy state of a novel sp...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
2009
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| Online Access: | http://ndltd.ncl.edu.tw/handle/41275186250083580682 |
| Summary: | 碩士 === 國立東華大學 === 應用物理研究所 === 97 === We investigate the ground state configuration under the mean-field approximation for two interacting Bose-Einstein condensates (BECs) trapped in a cigar-shaped potential. Using the steepest decent method we find the corresponding lowest energy state of a novel spatially phase-separated form. In particular, when the number ratio between two components as well as the degree of anisotropy for the trapped potential are larger than the critical values, the interspecies interaction repels the minority component to the extreme ends that leads to the split-shell/core configuration. This result shows that the shell/core configuration obtained from solving the coupled Gross-Pitaevskii equations under the Thomas-Fermi approximation is not a lowest energy state.
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