Multimode Spontaneous Parametric Down-Conversion in the Lossy Medium

Abstract

We study the process of multimode Spontaneous Parametric Down--Conversion (SPDC) in the lossy, one dimensional waveguide. We propose a description using first order Correlation Functions (CF) in the fluorescence fields, as a very fruitful and easy approach providing us with a complete information about the final multimode state. We formulate the equation of the evolution of the multimode CF along the crystal using four characteristic length scales. We solve it analytically in the one mode case and numerically in the multimode case. We capture simultaneous effects of three wave mixing with ultrashort pump, linear propagation and attenuation, and we are able to divide the evolution into three stages and predict it qualitatively. We find that losses do not destroy the quantum properties of SPDC but stabilize the final state.

References in corpus (6)

• Observation of squeezed light with 10dB quantum noise reduction
• Pulsed squeezed light: simultaneous squeezing of multiple modes
• Narrowband frequency tunable light source of continuous quadrature entanglement
• Quantum turbulence in condensate collisions: an application of the classical field method
• Multi-mode bosonic Gaussian channels
• Intensity of parametric fluorescence pumped by ultrashort pulses

Cited by in corpus (3)

• Noisy propagation of coherent states in a lossy Kerr medium
• Magnetically tuned, robust and efficient filtering system for spatially multimode quantum memory in warm atomic vapors
• Multimode Raman light-atom interface in warm atomic ensemble as multiple three-mode quantum operations