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Acta Sinica Quantum Optica

The Influence of Dephasing Rate on Nonlinearity in a Four-Level EIT System

Hai Wang

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

We theoretically investigates the influences of dephasing rate on cross-Kerr nonlinearity(XPM) in the Four-level Tripod system.The results show that cross-Kerr nonlinearity become larger with the decreasing of the atomic dephasing rate.When the dephasing rate changes from 2.5 MHz to 0.2 MHz,the probe and trigger XPM coefficients will increase by one order of magnitude.

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We theoretically investigates the influences of dephasing rate on cross-Kerr nonlinearity(XPM) in the Four-level Tripod system.The results show that cross-Kerr nonlinearity become larger with the decreasing of the atomic dephasing rate.When the dephasing rate changes from 2.5 MHz to 0.2 MHz,the probe and trigger XPM coefficients will increase by one order of magnitude.
We investigate, both theoretically and experimentally, the cross-Kerr nonlinearity generated in a four-level tripod system in the 87Rb D1 line. The system exhibits simultaneous electromagnetically induced transparency (EIT) windows for two weak (probe and trigger) fields and the enhanced cross-Kerr nonlinearity by EIT. The cross-Kerr nonlinear phase shifts for probe (trigger) field are measured at several different intensities of trigger (probe) field. The results show that large cross-phase modulation (XPM) coefficients can be achieved at low light intensities.
We report the experimental observations on the simultaneous EIT effects for probe and trigger fields (double EIT) as well as the large cross-phase modulation (XPM) between the two fields in a four-level tripod EIT system of the D1 line of 87Rb atoms. The XPM coefficients (larger than 2*10-5cm2/W) and the accompanying transmissions (higher than 60%) are measured at slightly detuning of the probe field from the exact EIT resonance condition. The presented system can be applied in the recently proposed quantum information processing with weak cross-Kerr nonlinearities.
The susceptibility of the probe field in a four-level tripod-type atomic system as a function of the probe detuning is calculated.The results show that the absorption and dispersion of probe field near EIT resonance can be significantly changed while a trigger beam interacting with a transition in this system.With the increase of Rabi frequency of trigger beam,the absorption of probe beam at EIT window becomes smaller,and its dispersion becomes larger.Such changes of susceptibility of probe beam caused by a trigger beam are corresponding to the third Kerr nonlinearity,which have an application in polarization phase gate.
We report experimental observations on the simultaneous electromagnetically induced transparency (EIT) effects for probe and trigger fields (double EIT) as well as the enhanced cross-phase modulation (XPM) between the two fields in a four-level tripod EIT system of the D1 line of 87Rb atoms. The XPM coefficients (larger than 2 x 10(-5) cm2/W) and the accompanying transmissions (higher than 60%) are measured at a slight detuning of the probe field from the exact EIT-resonance condition. The system and enhanced cross-Kerr nonlinearities presented here can be applied to quantum information processes.
In this work, we study the influence of Doppler broadening on cross-Kerr nonlinearity in a four-level inverted-Y atomic system under electromagnetically induced transparency (EIT) condition. The first- and third-susceptibilities in the presence of Doppler effect are derived as a function of probe, signal and coupling beams and temperature of medium. Under EIT condition, cross-Kerr nonlinearity is enhanced several orders of magnitude compared to that without EIT. The Doppler effect leads to a reduction in the transparent efficiency and thus reduces the amplitude of cross-Kerr nonlinear coefficient. For hot atomic gaseous medium, such consideration of the Doppler effect may be useful for experimental observations and apply to photonic devices operating at different temperature conditions.
A four-level inverted-Y scheme with an electromagnetically induced transparency (EIT) core is investigated for the enhancement of cross-Kerr effect in rubidium atoms. When detunings of the coupling and control fields are appropriately set, an enhanced EIT window is observed, and the induced phase shift of the probe field due to cross-phase modulation (XPM) is obtained by measuring the dispersive property of the probe transition. The maximal XPM phase shift is about 12° under the current experimental conditions. The experimental measurements agree well with the theoretical calculations. The enhanced XPM phase shift in such an atomic system has applications in quantum nonlinear optics and quantum information science.