Exact vortex nucleation and cooperative vortex tunneling in dilute Bose-Einstein condensates
With the imminent advent of mesoscopic rotating Bose-Einstein condensates in the lowest Landau level regime, we explore lowest Landau level vortex nucleation. An exact many-body analysis is presented in a weakly elliptical trap for up to 400 particles. Striking non-mean-field features are exposed at...
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| Veröffentlicht in: | Physical review letters 2008-09, Vol.101 (11), p.110401-110401, Article 110401 |
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| container_title | Physical review letters |
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| creator | Parke, M I Wilkin, N K Gunn, J M F Bourne, A |
| description | With the imminent advent of mesoscopic rotating Bose-Einstein condensates in the lowest Landau level regime, we explore lowest Landau level vortex nucleation. An exact many-body analysis is presented in a weakly elliptical trap for up to 400 particles. Striking non-mean-field features are exposed at filling factors >>1. For example, near the critical rotation frequency pairs of energy levels approach each other with exponential accuracy. A physical interpretation is provided by requantizing a mean-field theory, where 1/N plays the role of Planck's constant, revealing two vortices cooperatively tunneling between classically degenerate energy minima. The tunnel splitting variation is described in terms of frequency, particle number, and ellipticity. |
| doi_str_mv | 10.1103/PhysRevLett.101.110401 |
| format | Article |
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| ispartof | Physical review letters, 2008-09, Vol.101 (11), p.110401-110401, Article 110401 |
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| language | eng |
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| source | American Physical Society Journals |
| subjects | BOSE-EINSTEIN CONDENSATION CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ENERGY LEVELS MANY-BODY PROBLEM MEAN-FIELD THEORY NUCLEATION ROTATION TUNNEL EFFECT |
| title | Exact vortex nucleation and cooperative vortex tunneling in dilute Bose-Einstein condensates |
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