A family of many-body models which are exactly solvable analytically
A family of many-body models which are exactly solvable analytically
We present a family of many-body models which have an exact analytical solution. Surprisingly, these models include generalizations of such interesting physical systems as Bose-Einstein condensates with Josephson-type interactions. The generalization comprises the inclusion of inelastic collisions, which are present in real systems but are not accounted for in the canonical model. The unexpected insight of our paper is that the inclusion of these additional terms can render the system exactly solvable. Our results open up an arena to study many-body system properties analytically, where hitherto numerical studies had to be employed.
F601-F607
Fuentes-Schuller, I.
c6d65a4c-feac-44c1-9097-e0f6a9e0cf44
Barberis-Blostein, P.
07f00967-a11e-487e-a4d6-9f997443fb48
6 July 2007
Fuentes-Schuller, I.
c6d65a4c-feac-44c1-9097-e0f6a9e0cf44
Barberis-Blostein, P.
07f00967-a11e-487e-a4d6-9f997443fb48
Fuentes-Schuller, I. and Barberis-Blostein, P.
(2007)
A family of many-body models which are exactly solvable analytically.
Journal of Physics A: Mathematical and Theoretical, 40 (27), , [F04].
(doi:10.1088/1751-8113/40/27/F04).
Abstract
We present a family of many-body models which have an exact analytical solution. Surprisingly, these models include generalizations of such interesting physical systems as Bose-Einstein condensates with Josephson-type interactions. The generalization comprises the inclusion of inelastic collisions, which are present in real systems but are not accounted for in the canonical model. The unexpected insight of our paper is that the inclusion of these additional terms can render the system exactly solvable. Our results open up an arena to study many-body system properties analytically, where hitherto numerical studies had to be employed.
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Published date: 6 July 2007
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Local EPrints ID: 480245
URI: http://eprints.soton.ac.uk/id/eprint/480245
ISSN: 1751-8113
PURE UUID: 0462dbd8-cfa3-481f-b094-31725f1712a4
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Date deposited: 01 Aug 2023 17:11
Last modified: 17 Mar 2024 00:34
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P. Barberis-Blostein
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