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The exact solution of generalized Dicke models via Susskind–Glogower operators | |
BLAS MANUEL RODRIGUEZ LARA Héctor Manuel Moya Cessa | |
Acceso Abierto | |
Atribución-NoComercial-SinDerivadas | |
Dicke models Susskind– Glogower operators Tridiagonal Hamiltonia | |
We show a right unitary transformation approach based on Susskind– Glogower operators that diagonalizes a generalized Dicke Hamiltonian in the field basis and delivers a tridiagonal Hamiltonian in the Dicke basis. This tridiagonal Hamiltonian is diagonalized by a set of orthogonal polynomials satisfying a three-term recurrence relation. Our result is used to deliver a closed form, analytic time evolution for the case of a Jaynes–Cummings–Kerr model and to study the time evolution of the population inversion, reduced field entropy, and Husimi’s Q-function of the field for ensembles of interacting two-level systems under a Dicke–Kerr model. | |
Journal of Physics A: Mathematical and Theoretical | |
12-02-2013 | |
Artículo | |
Inglés | |
Estudiantes Investigadores Público en general | |
Rodríguez-Lara, B. M. and Moya-Cessa, H. M., (2013). The exact solution of generalized Dicke models via Susskind–Glogower operators, Journal of Physics A: Mathematical and Theoretical, Vol. 46(9):1-12 | |
ÓPTICA | |
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