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Acta Sinica Quantum Optica

Analysis of the Fluctuation of the Rectified Dipole Force Received by a Ladder-Type Three-Level Atom in Bichromatic Standing Waves

Jin Kang

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

On the previous work of acquiring an unidirectional dipole force over macro-quantitative optical wavelengths by imposing two standing waves of two different frequencies on an atom in the reference[1],the fluctuation of the rectified dipole-force is derived and calculated by means of quantum aggressive theory.The results show that DI from the interaction between atomic dipole's zero-point fluctuation and the gradient of the light field amplitude has great magnitude being the dominant factor of the fluctuation and varies as the space extremely similar with the rectified dipole force;DS from the interaction between the atomic dipole and zero-point vacuum's vibration is so small that it can be neglected.The heating effect of the atom from the fluctuations is harmful for the atom's trapping by means of dipole force.

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Analyze on the Force of a Ladder-Type Three-Level Atom Driven by a Standing Wave

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In this paper we present a new calculation of the force on a stationary three-level atom in a bichromatic standing-wave light field (see Fig. 1). Contrary to other theoretical treatments,1 which ignore optical pumping into the trapped state, we find that a stationary atom experiences no force when there is no difference frequency detuning (i.e., when Δ = 0). However, when there is a nonzero differential detuning (Δ ≠ 0) there can be force components that vary in both the wavelength of the optical fields and their beat wavelength. This stimulated force can be much larger than the maximum spontaneous force associated with this system. To obtain a simple physical interpretation of this force, the problem is treated in a basis that is formed from symmetric |+〉 and antisymmetric |−〉 linear combinations of the atomic ground states2 (see Fig. 1).

Quantum Electronics and Laser Science Conference•May 12, 1991•1 citation
On the previous work of acquiring an unidirectional dipole force over macro-quantitative optical wavelengths by imposing two standing waves of two different frequencies on an atom in the reference[1],the fluctuation of the rectified dipole-force is derived and calculated by means of quantum aggressive theory.The results show that DI from the interaction between atomic dipole's zero-point fluctuation and the gradient of the light field amplitude has great magnitude being the dominant factor of the fluctuation and varies as the space extremely similar with the rectified dipole force;DS from the interaction between the atomic dipole and zero-point vacuum's vibration is so small that it can be neglected.The heating effect of the atom from the fluctuations is harmful for the atom's trapping by means of dipole force.
The dipole force's steady solution of a ladder-type three-level atom of nearly equispaced energy level driven by a standing wave is derived from the atomic master equation.The variance of dipole force and the population of the energy level with the detunings,the space and the amplitude are shown by numerical calculation.The results show that the dipole force is proportional to the gradient of amplitude of the standing wave and the coherences between the atomic internal states plays a modulating role on the force,which is the most remarkable near the two-photon resonance point.Besides the levels tend to reach a equal-population and the dipole force tend to be zero as the amplitude of the electric field becomes bigger.
Rectified dipole forces1 offer the possibility of providing deep potential wells for neutral atoms. In the intense standing wave, a two-level atom can experience a large dipole force due to the large intensity gradient. However, this force changes sign on the optical wavelength scale, preventing the formation of deep potential wells. If a second, nearly commensurate, standing wave is added, its ac Stark shift causes the effective detuning of the first field to vary on the optical wavelength scale. The resulting change in sign of the detuning can counteract the change in sign of the intensity gradient, causing the force to maintain its sign over many wavelengths (i.e., the force becomes rectified), thereby forming a deep potential well. This rectified force is periodic with the beat wavelength between the two laser fields. In a three-level atom the same basic mechanism applies, but with the advantage that the two frequencies of the bichromatic standing wave can now be tuned dose to resonance with the two transitions of the atom.
We show that a three-level atom in the cascade configuration can be stably trapped and cooled in one dimension by an intense bichromatic standing wave. At the two-photon resonance, rectified dipole forces result in a deep potential well which can be used to localize the atoms in space. In the vicinity of the rectified potential minimum, the spatial dependence of the dressed state energies can lead to a velocity dependence of the force which produces damping of the atomic motion. Consideration of the heating effects of momentum diffusion indicates that cooling and stable trapping at low temperatures is possible in such a bichromatic field.
In this paper we present a new calculation of the force on a stationary three-level atom in a bichromatic standing-wave light field (see Fig. 1). Contrary to other theoretical treatments,1 which ignore optical pumping into the trapped state, we find that a stationary atom experiences no force when there is no difference frequency detuning (i.e., when Δ = 0). However, when there is a nonzero differential detuning (Δ ≠ 0) there can be force components that vary in both the wavelength of the optical fields and their beat wavelength. This stimulated force can be much larger than the maximum spontaneous force associated with this system. To obtain a simple physical interpretation of this force, the problem is treated in a basis that is formed from symmetric |+〉 and antisymmetric |−〉 linear combinations of the atomic ground states2 (see Fig. 1).