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Acta Physica Sinica

Study on coherent phase modulation of coherent population trapping in V-type atomic system

Liqiang Wang, Li Yongfang, Cao DongMei, Bi Dong-Yan, Zhang Chong-Jun, Cheng Yan-chun, (1)陕西师范大学物理学与信息技术学院，西安 710062; (2)陕西师范大学物理学与信息技术学院，西安 710062;延安大学物理学院，延安 716000; (3)武警工程学院基础部，西安 710068

Published Jan 1, 2004• 4 citations

Abstract

It is realized that coherent population trapping (CPT) and electromagnetically induced transparency (EIT) are modulated by coherent phase modulation in a Vtype atomic system excited by delaytime laser pulses; the modulation period can reach femtosecond order if the proper energy levels are selected. The relation between the delaytime laser pulse and the population of each energy level are investigated by the numerical and analytical solutions. The characteristic and regularity of population modulated by laser fields phase are obtained as well. Utilizing this mechanism, one can get the quantum switch,of which the modulation period can get to femtosecond order.

DOI: 10.7498/aps.53.2937

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It is realized that coherent population trapping (CPT) and electromagnetically induced transparency (EIT) are modulated by coherent phase modulation in a Vtype atomic system excited by delaytime laser pulses; the modulation period can reach femtosecond order if the proper energy levels are selected. The relation between the delaytime laser pulse and the population of each energy level are investigated by the numerical and analytical solutions. The characteristic and regularity of population modulated by laser fields phase are obtained as well. Utilizing this mechanism, one can get the quantum switch,of which the modulation period can get to femtosecond order.

Coherent population trapping (CPT) resonance formation is modeled numerically in a three-level Λ -system with one of the near-resonance fields being frequency-modulated. The model is based on density matrix equations in RW approximation with atomic relaxation properly taken into account. Slow modulation is shown to be equivalent to CW excitation with the frequency changed point by point. As the modulation period approaches the relaxation times, the delayed response of the system is shown to cause the CPT resonance shift and reshaping, as well as the appearance of transient oscillations of the energy level populations.

Coherent population trapping (CPT) resonance formation is modeled numerically in a three-level Λ- and Ξ- systems with one of the near-resonance fields being frequency-modulated. The model is based on density matrix equations in RW approximation with atomic relaxation properly taken into account. Slow modulation is shown to be equivalent to CW excitation with the frequency changed point by point. As the modulation period approaches the relaxation times, the delayed response of the system is shown to cause the CPT resonance shift and reshaping, as well as the appearance of transient oscillations of the energy level populations.

We present a study of the identified for the first time effect of electromagnetically-induced transparency delay in Rb vapours on the atomic clock transition. The effect consists in the presence of a delay in the time of the maximal total transmission of atomic vapour relative to the moment when a two-photon resonance is reached as the frequency difference between two laser fields (FDLF) deviates around the clock transition frequency. It was found out that the delay is higher for higher frequencies of the FDLF modulation and is accompanied by substantial evolution of the width and shape of the coherent population trapping resonance.

Coherent atomic states prepared by laser field can have quantum interference\nbetween the different transition amplitudes. Therefore, the medium susceptibility\nand optical response can be engineered, leading to many interesting phenomena, such\nas coherent population trapping (CPT), electromagnetically induced transparency\n(EIT), and lasing without inversion (LWI).\nWe studied the coherence effects in various prototype atomic systems, and found\nmany interesting applications. We solved the slow light bandwidth problem by decomposing\nthe pulse and matching each frequency to its EIT window using a magnetic\nfield gradient. We also considered the probe field deflection induced by the driving\nfield distribution in EIT, and showed that even a broadband pulse can be deflected\nwithout serious spreading. In the fast light area, we examined the effects of noise and\nparameter deviations in a bichromatic Raman type white light cavity. Taking advantage\nof the adjustable absorption of EIT, we showed that EIT in a laser cavity can\nhave either first-order or second-order phase transitions. Last but not least, we show\nthat the adiabatic population transfer can be used to reverse the weak measurement\nof an arbitrary field with finite photon number.