We consider quantum integrable models based on the Lie algebra gl(n) and non-skew-symmetric classical r-matrices associated with Z 2-gradings of gl(n) of the following type: , where . Among the considered models are Gaudin-type models with an external magnetic field, used in nuclear physics to produce proton-neutron Bardeen-Cooper-Schrieer-type models, n-level many-mode Jaynes-Cummings-Dicke-type models of quantum optics, matrix generalization of Bose-Hubbard dimers, etc. We diagonalize the constructed models by means of the 'generalized' nested Bethe ansatz.

Skrypnyk, T. (2016). Z2-graded classical r-matrices and algebraic Bethe ansatz: Applications to integrable models of quantum optics and nuclear physics. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 49(36) [10.1088/1751-8113/49/36/365201].

Z2-graded classical r-matrices and algebraic Bethe ansatz: Applications to integrable models of quantum optics and nuclear physics

Skrypnyk, T
2016

Abstract

We consider quantum integrable models based on the Lie algebra gl(n) and non-skew-symmetric classical r-matrices associated with Z 2-gradings of gl(n) of the following type: , where . Among the considered models are Gaudin-type models with an external magnetic field, used in nuclear physics to produce proton-neutron Bardeen-Cooper-Schrieer-type models, n-level many-mode Jaynes-Cummings-Dicke-type models of quantum optics, matrix generalization of Bose-Hubbard dimers, etc. We diagonalize the constructed models by means of the 'generalized' nested Bethe ansatz.
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Articolo in rivista - Articolo scientifico
Scientifica
algebraic Bethe ansatz; classical r-matrices; Gaudin-type models;
algebraic Bethe ansatz; classical r-matrices; Gaudin-type models; Statistical and Nonlinear Physics; Statistics and Probability; Modeling and Simulation; Mathematical Physics; Physics and Astronomy (all)
English
Skrypnyk, T. (2016). Z2-graded classical r-matrices and algebraic Bethe ansatz: Applications to integrable models of quantum optics and nuclear physics. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 49(36) [10.1088/1751-8113/49/36/365201].
Skrypnyk, T
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/189882
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