dorsal/arxiv
View SchemaQuantum Dynamics of Three Coupled Atomic Bose-Einstein Condensates
| Authors | K. Nemoto, C. A. Holmes, G. J. Milburn, W. J. Munro |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0010051 |
| URL | https://arxiv.org/abs/quant-ph/0010051 |
| DOI | 10.1103/PhysRevA.63.013604 |
| Journal | Phys. Rev A. 63, 013604 (2001) |
Abstract
The simplest model of three coupled Bose-Einstein Condensates (BEC) is investigated using a group theoretical method. The stationary solutions are determined using the SU(3) group under the mean field approximation. This semiclassical analysis using the system symmetries shows a transition in the dynamics of the system from self trapping to delocalization at a critical value for the coupling between the condensates. The global dynamics are investigated by examination of the stable points and our analysis shows the structure of the stable points depends on the ratio of the condensate coupling to the particle-particle interaction, undergoes bifurcations as this ratio is varied. This semiclassical model is compared to a full quantum treatment, which also displays the dynamical transition. The quantum case has collapse and revival sequences superposed on the semiclassical dynamics reflecting the underlying discreteness of the spectrum. Non-zero circular current states are also demonstrated as one of the higher dimensional effects displayed in this system.
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"abstract": "The simplest model of three coupled Bose-Einstein Condensates (BEC) is\ninvestigated using a group theoretical method. The stationary solutions are\ndetermined using the SU(3) group under the mean field approximation. This\nsemiclassical analysis using the system symmetries shows a transition in the\ndynamics of the system from self trapping to delocalization at a critical value\nfor the coupling between the condensates. The global dynamics are investigated\nby examination of the stable points and our analysis shows the structure of the\nstable points depends on the ratio of the condensate coupling to the\nparticle-particle interaction, undergoes bifurcations as this ratio is varied.\nThis semiclassical model is compared to a full quantum treatment, which also\ndisplays the dynamical transition. The quantum case has collapse and revival\nsequences superposed on the semiclassical dynamics reflecting the underlying\ndiscreteness of the spectrum. Non-zero circular current states are also\ndemonstrated as one of the higher dimensional effects displayed in this system.",
"arxiv_id": "quant-ph/0010051",
"authors": [
"K. Nemoto",
"C. A. Holmes",
"G. J. Milburn",
"W. J. Munro"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.63.013604",
"journal_ref": "Phys. Rev A. 63, 013604 (2001)",
"title": "Quantum Dynamics of Three Coupled Atomic Bose-Einstein Condensates",
"url": "https://arxiv.org/abs/quant-ph/0010051"
},
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