dorsal/arxiv
View SchemaKicked Bose-Hubbard systems and kicked tops -- destruction and stimulation of tunneling
| Authors | M P Strzys, E M Graefe, H J Korsch |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0703148 |
| URL | https://arxiv.org/abs/quant-ph/0703148 |
| DOI | 10.1088/1367-2630/10/1/013024 |
| Journal | New J. Phys. 10, 013024 (2008) |
Abstract
In a two-mode approximation, Bose-Einstein condensates (BEC) in a double-well potential can be described by a many particle Hamiltonian of Bose-Hubbard type. We focus on such a BEC whose interatomic interaction strength is modulated periodically by $\delta$-kicks which represents a realization of a kicked top. In the (classical) mean-field approximation it provides a rich mixed phase space dynamics with regular and chaotic regions. By increasing the kick-strength a bifurcation leads to the appearance of self-trapping states localized on regular islands. This self-trapping is also found for the many particle system, however in general suppressed by coherent many particle tunneling oscillations. The tunneling time can be calculated from the quasi-energy splitting of the corresponding Floquet states. By varying the kick-strength these quasi-energy levels undergo both avoided and even actual crossings. Therefore stimulation or complete destruction of tunneling can be observed for this many particle system.
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"abstract": "In a two-mode approximation, Bose-Einstein condensates (BEC) in a double-well\npotential can be described by a many particle Hamiltonian of Bose-Hubbard type.\nWe focus on such a BEC whose interatomic interaction strength is modulated\nperiodically by $\\delta$-kicks which represents a realization of a kicked top.\nIn the (classical) mean-field approximation it provides a rich mixed phase\nspace dynamics with regular and chaotic regions. By increasing the\nkick-strength a bifurcation leads to the appearance of self-trapping states\nlocalized on regular islands. This self-trapping is also found for the many\nparticle system, however in general suppressed by coherent many particle\ntunneling oscillations. The tunneling time can be calculated from the\nquasi-energy splitting of the corresponding Floquet states. By varying the\nkick-strength these quasi-energy levels undergo both avoided and even actual\ncrossings. Therefore stimulation or complete destruction of tunneling can be\nobserved for this many particle system.",
"arxiv_id": "quant-ph/0703148",
"authors": [
"M P Strzys",
"E M Graefe",
"H J Korsch"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1367-2630/10/1/013024",
"journal_ref": "New J. Phys. 10, 013024 (2008)",
"title": "Kicked Bose-Hubbard systems and kicked tops -- destruction and stimulation of tunneling",
"url": "https://arxiv.org/abs/quant-ph/0703148"
},
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