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arXiv:quant-ph/0401014 · Physical Review A

Technique of quantum-state transfer for a double- Λ atomic beam

Xiong-Jun Liu, Hui Jing, Xiao-Ting Zhou, Mo‐Lin Ge

Published Jul 26, 2004• 17 citations
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Abstract

We theoretically examine the quantum-state transfer process from light to a continuous atom laser by extending the original Fleischhauer-Gong scheme [M. Fleischhauer and S. Gong, 88, 070404 (2002)] to a double-$\ensuremath{\Lambda}$ atomic system. We find that the intensity of the output matter waves is controlled by the relative phase of two coherent probe lights, which may provide an interesting method for the measurement of the initial relative phase of two independent light sources.

DOI
10.1103/physreva.70.015603

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We theoretically examine the quantum-state transfer process from light to a continuous atom laser by extending the original Fleischhauer-Gong scheme [M. Fleischhauer and S. Gong, 88, 070404 (2002)] to a double-\ensuremathΛ\ensuremath{\Lambda}\ensuremathΛ atomic system. We find that the intensity of the output matter waves is controlled by the relative phase of two coherent probe lights, which may provide an interesting method for the measurement of the initial relative phase of two independent light sources.
The transfer technique of quantum states from a pair of pump fields to collective atomic excitation in a double Lambda\\LambdaLambda type system is extended to matter waves in this paper. For this a scheme for measuring the relative phase of two independent coherent probe fields is proposed in this paper.
We theoretically examine quantum state transfer from light to an interacting atomic beam, focusing on generation of soliton atom laser in the output state. This problem is an extension of the Fleischhauer-Gong scheme [M. Fleischhauer and S. Gong, Phys. Rev. Lett. 88, 070404 (2002)] by including the role of nonlinear atomic interactions. The transfer process of quantum state is, however, from photons to created atomic gray-soliton whose dynamics is free of the accompanied frequency chirp effect, indicating a novel scheme for soliton atom laser with nonclassical state.
Two-component entangled atom laser is obtained via quantum state transfer technique from lights to matter waves in a five-level MMM-type system. The considered atom-atom collisions can yield an effective Kerr susceptibility for this system and lead to the self- and cross- phase modulation between the two output atom lasers. This effect results in generation of entangled states of output atom lasers. Particularly, a potential application for a quantum phase gate between two individual atom lasers can be demonstrated for the case that the input quantized probe lights are both in the single-photon state.
We present a theory of a continuous-wave light propagation in a medium of atoms with a double-$\ensuremath{\Lambda}$ configuration of levels. This is a configuration with a closed cycle of radiation-induced transitions. An interference of excitation channels in such closed-loop systems leads to a strong dependence of the atomic state on the relative phase and the relative amplitudes of applied electromagnetic waves. Therefore, the medium response may be controlled by the phases. On the other hand, the phases themselves change during the propagation. Thus the state of the medium and all the field parameters are tightly coupled to each other in the present problem. We consider the propagation of four-frequency laser radiation through the double-$\ensuremath{\Lambda}$ medium for two situations. At resonant or near-resonant excitation of atoms, both the medium and the field evolve into a nonabsorbing state. This state implies specific coherent superposition for atoms (``dark state''), and particular relations for the field phases, amplitudes, and frequencies. In this way, the propagation results in the phase, amplitude, and frequency matching of the laser waves. In the second case, one $\ensuremath{\Lambda}$ system in double-$\ensuremath{\Lambda}$ atoms is excited resonantly, while the second $\ensuremath{\Lambda}$ system is far off resonance. Such an excitation scheme ensures the preparation of atoms in the nearly dark state throughout the medium. Therefore, the total light energy is dissipated very weakly, whereas each individual laser wave can vary considerably along the propagation path. We have found that the resonant fields change as much as the far-detuned ones. The intensities oscillate sinusoidally with the optical length, with the energy being transferred back and forth between two waves in each frequency pair, resonant and far detuned. This gives the possibility for an almost lossless amplification of two of the laser waves, or an even generation of one of them.