dorsal/arxiv
View SchemaSemiclassical approach to Bose-Einstein condensates in a triple well potential
| Authors | S. Mossmann, C. Jung |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0604158 |
| URL | https://arxiv.org/abs/quant-ph/0604158 |
| DOI | 10.1103/PhysRevA.74.033601 |
| Journal | Phys. Rev. A 74, 033601 (2006) |
Abstract
We present a new approach for the analysis of Bose-Einstein condensates in a few mode approximation. This method has already been used to successfully analyze the vibrational modes in various molecular systems and offers a new perspective on the dynamics in many particle bosonic systems. We discuss a system consisting of a Bose-Einstein condensate in a triple well potential. Such systems correspond to classical Hamiltonian systems with three degrees of freedom. The semiclassical approach allows a simple visualization of the eigenstates of the quantum system referring to the underlying classical dynamics. From this classification we can read off the dynamical properties of the eigenstates such as particle exchange between the wells and entanglement without further calculations. In addition, this approach offers new insights into the validity of the mean-field description of the many particle system by the Gross-Pitaevskii equation, since we make use of exactly this correspondence in our semiclassical analysis. We choose a three mode system in order to visualize it easily and, moreover, to have a sufficiently interesting structure, although the method can also be extended to higher dimensional systems.
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"abstract": "We present a new approach for the analysis of Bose-Einstein condensates in a\nfew mode approximation. This method has already been used to successfully\nanalyze the vibrational modes in various molecular systems and offers a new\nperspective on the dynamics in many particle bosonic systems. We discuss a\nsystem consisting of a Bose-Einstein condensate in a triple well potential.\nSuch systems correspond to classical Hamiltonian systems with three degrees of\nfreedom. The semiclassical approach allows a simple visualization of the\neigenstates of the quantum system referring to the underlying classical\ndynamics. From this classification we can read off the dynamical properties of\nthe eigenstates such as particle exchange between the wells and entanglement\nwithout further calculations. In addition, this approach offers new insights\ninto the validity of the mean-field description of the many particle system by\nthe Gross-Pitaevskii equation, since we make use of exactly this correspondence\nin our semiclassical analysis. We choose a three mode system in order to\nvisualize it easily and, moreover, to have a sufficiently interesting\nstructure, although the method can also be extended to higher dimensional\nsystems.",
"arxiv_id": "quant-ph/0604158",
"authors": [
"S. Mossmann",
"C. Jung"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.74.033601",
"journal_ref": "Phys. Rev. A 74, 033601 (2006)",
"title": "Semiclassical approach to Bose-Einstein condensates in a triple well potential",
"url": "https://arxiv.org/abs/quant-ph/0604158"
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