dorsal/arxiv
View SchemaA family of many-body models which are exactly solvable analytically
| Authors | I. Fuentes-Schuller, P. Barberis-Blostein |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0607191 |
| URL | https://arxiv.org/abs/quant-ph/0607191 |
| DOI | 10.1088/1751-8113/40/27/F04 |
| Journal | J.Phys.A40:F601-F608,2007 |
Abstract
We present a family of many-body models which are exactly solvable analytically. The models are an extended n-body interaction Lipkin-Meshkov-Glick model which considers spin-flip terms which are associated with the interaction of an external classical field which coherently manipulates the state of the system in order to, for example, process quantum information. The models also describe a two-mode Bose-Einstein condensate with a Josephson-type interaction which includes n-particle elastic and inelastic collisions. One of the models corresponds to the canonical two-mode Bose-Einstein Hamitonian plus a term which we argue must be considered in the description of the two-mode condensate. Intriguingly, this extra term allows for an exact and analytical solution of the two-particle collision two-mode BEC problem. Our results open up an arena to study many-body system properties analytically.
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"abstract": "We present a family of many-body models which are exactly solvable\nanalytically. The models are an extended n-body interaction\nLipkin-Meshkov-Glick model which considers spin-flip terms which are associated\nwith the interaction of an external classical field which coherently\nmanipulates the state of the system in order to, for example, process quantum\ninformation. The models also describe a two-mode Bose-Einstein condensate with\na Josephson-type interaction which includes n-particle elastic and inelastic\ncollisions. One of the models corresponds to the canonical two-mode\nBose-Einstein Hamitonian plus a term which we argue must be considered in the\ndescription of the two-mode condensate. Intriguingly, this extra term allows\nfor an exact and analytical solution of the two-particle collision two-mode BEC\nproblem. Our results open up an arena to study many-body system properties\nanalytically.",
"arxiv_id": "quant-ph/0607191",
"authors": [
"I. Fuentes-Schuller",
"P. Barberis-Blostein"
],
"categories": [
"quant-ph",
"cond-mat.mes-hall",
"nucl-th"
],
"doi": "10.1088/1751-8113/40/27/F04",
"journal_ref": "J.Phys.A40:F601-F608,2007",
"title": "A family of many-body models which are exactly solvable analytically",
"url": "https://arxiv.org/abs/quant-ph/0607191"
},
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