Characterisation of non-classical light sources for quantum information technologies Wojciech Wasilewski Michał Karpiński Piotr Wasylczyk Czesław Radzewicz Faculty of Physics University of Warsaw Poland Piotr Kolenderski Robert Frankowski Konrad Banaszek Institute of Physics Nicolaus Copernicus University Toruń, Poland
Parametric down-conversion Energy conservation: Momentum conservation: p = s + i k p k s + k i
Twin beams
Fibre coupling
Fourier Transform Spectroscopy
Common-path interferometer
Joint spectrum measurement W. Wasilewski, P. Wasylczyk, P. Kolenderski, K. B., and C. Radzewicz, Opt. Lett. 31, 1130 (2006)
Interferogram
Experiment vs. theory
Schmidt decomposition
Mode pairs …what about the mode of one photon?
Two-photon interference & Probability amplitudes: – + – Photon indistinguishability = mode matching
Coincidence probability &
Single pulse t t’
Double pulse t t’
Experimental scheme W. Wasilewski, P. Kolenderski, and R. Frankowski, Phys. Rev. Lett. 99, (2007)
Simulated interferogram
Fourier transform
Experimental setup W. Wasilewski, P. Kolenderski, and R. Frankowski, Phys. Rev. Lett. 99, (2007)
Results
Output wave function Fiber coupling: Brigthness: Purity:
Optimization Brightness Purity P. Kolenderski, W. Wasilewski, and K.B., arXiv: Phys. Rev. A (in press) Geometric decorrelation: A. U’Ren, K. B., and I. A. Walmsley, Quant. Inf. Comp. 3, 480 (2003).
Spectral filtering L = 1 mm, w s = w i = 100 mm, p = 100 fs
Multiphoton statistics Losses
Multimode model losses Equivalent number of (equally probable) modes M Squeezing strength r
Experimental setup W. Wasilewski, C. Radzewicz, R. Frankowski, and K. Banaszek, Phys. Rev. A 78, (2008)
Two-beam photon statistics
Equivalent number of modes no filters 10 nm filters+ 5 nm filters
Overall detection efficiency no filters 10 nm filters+ 5 nm filters
Contamination coefficients
Two-photon contamination no filters 10 nm filters+ 5 nm filters
Four-photon contamination No interference filters
Non-linear waveguide M. Karpiński, C. Radzewicz, and K.B., Appl. Phys. Lett. 94, (2009)
Conclusions “Toolbox” for measuring spectral properties Modal structure an issue in multiphoton interference Spectral filtering sensible option for bulk sources Higher-order terms dangerous!