Propagation of small fluctuations in electromagnetically induced transparency. Influence of Doppler width

Abstract

The propagation of a pair of quantized fields inside a medium of three-level atoms in $\Lambda$ configuration is analyzed. We calculate the stationary quadrature noise spectrum of the field after propagating through the medium in the case where the field has a general (but small) noise spectrum and the atoms are in a coherent population trapping state and show electromagnetically induced transparency (EIT). Although the mean values of the field remain unaltered as the field propagates, there is an oscillatory interchange of noise properties between the probe and pump fields. Also, as the field propagates, there is an oscillatory creation and annihilation of correlations between the probe and pump quadratures. We further study the field propagation of squeezed states when there is two-photon resonance, but the field has a detuning $\delta$ from atomic resonance. We show that the field propagation is very sensitive to $\delta$. The propagation in this case can be explained as a combination of a frequency dependent rotation of maximum squeezed quadrature with an interchange of noise properties between pump and probe fields. It is also shown that the effect of the Doppler width in a squeezed state propagation is considerable.

References in corpus (10)

• Quantum memory for squeezed light
• Storage and Retrieval of a Squeezed Vacuum
• From EIT photon correlations to Raman anti-correlations in coherently prepared Rb vapor
• Quantum study of information delay in electromagetically induced transparency
• Atomic quantum memory: cavity vs single pass schemes
• Ultraslow Propagation of Squeezed Vacuum Pulses with Electromagnetically Induced Transparency
• Opacity of electromagnetically induced transparency for quantum fluctuations
• Propagation of Squeezed Vacuum under Electromagnetically Induced Transparency
• Field autocorrelations in electromagnetically induced transparency: Effects of a squeezed probe field
• Two-photon detuning and decoherence in cavity electromagnetically induced transparency for quantized fields

Cited by in corpus (1)

• Deterministic Generation of Genuine Tri-Partite Hybrid Atom-Photon Entanglement through Dissipation