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International Journal of Modern Physics B

INFORMATION ENTROPY AND SPIN-SQUEEZING IN ATOMIC THREE-LEVEL SYSTEMS

M. Reboiro, Osvaldo Civitarese, Diego Tielas

Published Jul 11, 2013• 7 citations
Publisher

Abstract

We consider the problem of an atomic three-level system in interaction with a radiation field. The time evolution of the system, in atomic ladder and Λ configurations, is solved exactly assuming a coherent-state as the initial atomic state. We calculate the atomic spin-squeezing, the atomic entropy-squeezing, and their variances. We show that the spin-squeezing and the entropy-squeezing exhibit similar time dependence.

DOI
10.1142/s0217979213501178

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We consider the problem of an atomic three-level system in interaction with a radiation field. The time evolution of the system, in atomic ladder and Λ configurations, is solved exactly assuming a coherent-state as the initial atomic state. We calculate the atomic spin-squeezing, the atomic entropy-squeezing, and their variances. We show that the spin-squeezing and the entropy-squeezing exhibit similar time dependence.
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Dynamics of a three-level atom interacting with one- and two-mode radiation fields is studied when the initial state of the field is a squeezed coherent state. All the three types of level configurations cascade; V and Lambda are considered. A model similar to the Jaynes-Cumming type developed by Yoo and Eberly1 is used. Various parameter ranges including the one in which the photon number distribution for the squeezed state exhibits oscillatory behavior2 are considered. Interesting revival structures are seen. Curves are presented to illustrate the behavior.
The position- and momentum-entopic squeezing properties of the optical field in the system of a nearly degenerate three-level atom interacting with a single-mode field are investigated. Calculation results indicate that when the field is initially in the vacuum state, it may lead to squeezing of the position entropy or the momentum entropy of the field if the atom is prepared properly. The effects of initial atomic state and the splitting of the excited levels of the atom on field entropies are discussed in this case. When the initial field is in a coherent state, we find that position-entropy squeezing of the field is present even if the atom is prepared in the ground state. By comparing the variance squeezing and entropy squeezing of the field we confirm that entropy is more sensitive than variance in measuring quantum fluctuations.