dorsal/arxiv
View SchemaCenter-of-mass motion in many-body theory of BEC
| Authors | Iwo Bialynicki-Birula, Zofia Bialynicka-Birula |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0204046 |
| URL | https://arxiv.org/abs/quant-ph/0204046 |
Abstract
The method of generating a family of new solutions starting from any wave function satisfying the nonlinear Schr\"odinger equation in a harmonic potential proposed recently [ J. J. Garc\'{\i}a-Ripoll, V. M. P\'erez-Garc\'{\i}a, and V. Vekslerchik, Phys. Rev. E {\bf 64}, 056602 (2001)] is extended to many-body theory of mutually interacting particles. Our method is based on a generalization of the displacement operator known in quantum optics and results in the separation of the center of mass motion from the internal dynamics of many-body systems. The center of mass motion is analyzed for an anisotropic rotating trap and a region of instability for intermediate rotational velocities is predicted.
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"abstract": "The method of generating a family of new solutions starting from any wave\nfunction satisfying the nonlinear Schr\\\"odinger equation in a harmonic\npotential proposed recently [ J. J. Garc\\\u0027{\\i}a-Ripoll, V. M.\nP\\\u0027erez-Garc\\\u0027{\\i}a, and V. Vekslerchik, Phys. Rev. E {\\bf 64}, 056602 (2001)]\nis extended to many-body theory of mutually interacting particles. Our method\nis based on a generalization of the displacement operator known in quantum\noptics and results in the separation of the center of mass motion from the\ninternal dynamics of many-body systems. The center of mass motion is analyzed\nfor an anisotropic rotating trap and a region of instability for intermediate\nrotational velocities is predicted.",
"arxiv_id": "quant-ph/0204046",
"authors": [
"Iwo Bialynicki-Birula",
"Zofia Bialynicka-Birula"
],
"categories": [
"quant-ph"
],
"title": "Center-of-mass motion in many-body theory of BEC",
"url": "https://arxiv.org/abs/quant-ph/0204046"
},
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