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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/19

Title: Bloch space structure, the qutrit wavefunction and atom–field entanglement in three-level systems
Authors: Sen, S
Nath, M R
Dey, T K
Gangopadhyay, G
Keywords: SU(3) group
Three-level system
Bloch equation
Entanglement
Issue Date: 2012
Publisher: Annals of Physics
Citation: S. Sen, M. R. Nath, T. K. Dey and G. Gangopadhyay, Bloch space structure, the qutrit wave function and atom-field entanglement in three-level systems, Annals of Physics, 2012, 327, 224
Abstract: We have given a novel formulation of the exact solutions for the lambda, vee and cascade three-level systems where the Hamiltonian of each configuration is expressed in the SU(3) basis. The solutions are discussed from the perspective of the Bloch equation and the atom–field entanglement scenario. For the semiclassical systems, the Bloch space structure of each configuration is studied by solving the corresponding Bloch equation and it is shown that at resonance, the eight-dimensional Bloch sphere is broken up into two distinct subspaces due to the existence of a pair of quadratic constants. Because of the different structure of the Hamiltonian in the SU(3) basis, the non-linear constants are found to be distinct for different configurations. We propose a possible representation of the qutrit wavefunction and show its equivalence with the three-level system. Taking the bichromatic cavity modes to be in the coherent state, the amplitudes of all three quantized systems are calculated by developing an Euler angle based dressed state scheme. Finally following the Phoenix–Knight formalism, the interrelation between the atom–field entanglement and population inversion for all configurations is studied and the existence of collapses and revivals of two different types is pointed out for the equidistant cascade system in particular.
URI: http://hdl.handle.net/123456789/19
Appears in Collections:2012

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