Using the quantum group technique we construct a one-parametric family of integrable modifications of the n-level, n-1 mode TavisCummings Hamiltonian possessing an additional Stark-type term. We show that in the 'quasiclassical' limit the constructed Hamiltonian transforms into the integrable Hamiltonian of the quantum n-level, n-1 mode TavisCummings model with the equal interaction strengths considered in Skrypnyk (2008 J. Phys. A: Math. Theor. 41 475202, 2009 J. Math. Phys. 50 103523). We diagonalize the constructed modified TavisCummings Hamiltonian and its second order integrals of motion using the nested Bethe ansatz
Skrypnyk, T. (2018). Modified n-level, n - 1-mode Tavis-Cummings model and algebraic Bethe ansatz. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 51(1) [10.1088/1751-8121/aa94af].
Modified n-level, n - 1-mode Tavis-Cummings model and algebraic Bethe ansatz
Skrypnyk, T.
2018
Abstract
Using the quantum group technique we construct a one-parametric family of integrable modifications of the n-level, n-1 mode TavisCummings Hamiltonian possessing an additional Stark-type term. We show that in the 'quasiclassical' limit the constructed Hamiltonian transforms into the integrable Hamiltonian of the quantum n-level, n-1 mode TavisCummings model with the equal interaction strengths considered in Skrypnyk (2008 J. Phys. A: Math. Theor. 41 475202, 2009 J. Math. Phys. 50 103523). We diagonalize the constructed modified TavisCummings Hamiltonian and its second order integrals of motion using the nested Bethe ansatz
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