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Chinese Physics

Entropy squeezing of the field interacting with a nearly degenerate V-type three-level atom

Qingchun Zhou, Zhu Shi-Ning

Published Jan 27, 2005• 7 citations

Abstract

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.

DOI: 10.1088/1009-1963/14/2/020

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The entropy squeezing of a V-type three-level atom interacting with a single-mode field and passing through the amplitude damping channel is investigated in detail. Our results show that when coupled to the single-mode field, the atom in appropriate initial states can not only generate obvious entropy squeezing but also keep in the optimal squeezing state, while passing through the amplitude damping channel, the atom can generate entropy squeezing under the control of the weak measurement. Besides, it is proved again that as a measurement method for atomic squeezing, the entropy squeezing is precise and effective. Therefore our work is instructive for experiments in preparing three-level system information resource with ultra-low quantum noise.

The entropy squeezing properties of different types of moving three-level atoms coupled with a single-mode coherent field are studied. The influences of the moving velocity and initial states of the three-level atom on the entropy squeezing are discussed. The results show that, the entropy squeezing properties of the three-level atom depend on its initial state, moving velocity, and the type. A stationary three-level atom can not obtain a steady entropy squeezing whatever initial conditions are chosen, while a moving three-level atom can achieve a steady and optimal entropy squeezing through choosing higher velocity and appropriate initial state. Our result provides a simple method for preparing squeezing resources with ultra-low quantum noise of the three-level atomic system without additional any complex techniques.

The entropy squeezing for a three-level atom interacting with a single-model field is studied. A general definition of entropy squeezing for three-level atom is given according to entropic uncertainty relation of three-level system, and the calculation formalism of entropy is derived for a cascade three-level atom. By using numerical calculation, the entropy squeezing properties of a cascade three-level atom are examined. Our results show that, three-level atom can generate obvious entropy squeezing effect via choosing appropriate superposition state of three-level atom. Our results are meaningful for preparing three-level system information resources with ultra-low quantum noise.

Difference squeezing properties of the field in the system of a two-mode field initially in an SU (2) coherent state resonantly interacting with a three-level V-type atom are investigated by means of the quantum theory and numerical calculations. The dependence of the difference squeezing of two-mode on the total photon of the tow-mode, the partition parameter, the coupling constant and the atomic initial state is discussed for three cases: (1) no state-selective atomic measurement; (2) direct state-selective atomic measurement; (3) state-selective atomic measurement after the application of a classical field. The results indicate that when the atom is initially on the lower level or the total photon number of the two-mode is increased, the average intensity of the difference squeezing is distinctly enhanced; when the partition parameter is decreased, the average intensity of the difference squeezing is distinctly deadened; when the tow coupling constants are same and the state-selective measurement is performed on the atom, the average intensity of the difference squeezing does not change over time.