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Chinese Physics Letters

Coherent Population Trapping Induced by Phase Modulated and Fluctuating Fields

王剑, 胡响明

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

我们检验套住的 coherentpopulation (CPT ) 上的变化在三水平的 A 与相等的 modulationfrequencies 由一双调制阶段的地导致了的生气相关阶段的效果系统。当 CPT occursfor 平等者调整索引时，出现的 -0.5, 的最大的连贯，被保存面对极其 cross-correlatedfluctuations。出人意料地，非最大的连贯，被证实 CPT 是否是获得的 fordifferent 调整索引，显著地被提高由于极其 cross-correlatedfluctuations。

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Physical Review A•Jan 12, 2012•20 citations
我们检验套住的 coherentpopulation (CPT ) 上的变化在三水平的 A 与相等的 modulationfrequencies 由一双调制阶段的地导致了的生气相关阶段的效果系统。当 CPT occursfor 平等者调整索引时，出现的 -0.5, 的最大的连贯，被保存面对极其 cross-correlatedfluctuations。出人意料地，非最大的连贯，被证实 CPT 是否是获得的 fordifferent 调整索引，显著地被提高由于极其 cross-correlatedfluctuations。
We examine the effects of cross correlated phase fluctuations on the coherent population trapping (CPT) induced by a pair of phase-modulated fields with equal modulation frequencies in a three-level Λ system. The maximal coherence of -0.5, which appears when CPT occurs for equal modulation indices, is preserved in the presence of the critically cross-correlated fluctuations. Unexpectedly, the non-maximal coherence, which is established when CPT is obtained for different modulation indices, is significantly enhanced due to the critically cross-correlated fluctuations.
In order to understand how stochastic processes enter and influence coherent atomic dynamics, we have studied the behavior of a \ensuremath{\Lambda} system under random polarization variations. Polarization, in addition to amplitude and phase, is a defining feature of a classical vector field. However, to date there has been little study of how quantum systems respond to temporal variations of polarization, even though this problem has practical implications. In our work, we generate a Bernoulli sequence of random polarization changes, and we then examine the average 87{}^{87}87Rb coherent-population-trapping (CPT) line shape induced by this stochastic field. To quantitatively conceptualize our results, we have developed an independent-modulator approximation (IMA) theory for CPT line shapes induced by stochastic-polarization fields. The IMA theory is based on the idea that a power spectrum can be understood as a probability distribution of Fourier modulation frequencies. We compare the IMA theory with our experimental results, finding quite good agreement when the polarization correlation time is less than or equal to the CPT dephasing time, which is the regime of primary experimental and technological interest. The utility of the IMA theory lies in its intuitive nature, which we believe has merit for guiding experimentalists' general understanding of stochastic fields and quantum systems.
In order to understand how stochastic processes might enter and influence coherent atomic dynamics, we have studied the behavior of a \ensuremath{\Lambda} system under periodic polarization modulation. Polarization, in addition to amplitude and phase, is a defining feature of a classical vector field. However, to date, there has been little study concerning the response of quantum systems to temporal variations in polarization, even though some lasers are known to exhibit stochastic polarization fluctuations. In our work, we square-wave modulate the polarization of a laser that induces coherent-population trapping (CPT) in 87{}^{87}87Rb. At low-modulation frequencies, we find that the amplitude of the CPT resonance increases with modulation frequency because the polarization variations limit the number of atoms confined to the system's trapping state. Surprisingly, at higher-modulation frequencies, we find that the CPT resonance splits into a doublet. We have developed an analytical theory of CPT in the presence of polarization modulation that captures the primary features of our experimental findings and shows that the doublet is a consequence of ground-state coherence modulation in the \ensuremath{\Lambda} system. The present results lay a foundation for understanding how more complicated (i.e., stochastic) temporal variations in laser polarization could influence \ensuremath{\Lambda}-system dynamics.