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Springer eBooks

Photon correlations in the homodyne detection of squeezed light

Daniel B. Erenso, Hua Deng, Reeta Vyas, Surendra Singh

Published Jan 1, 2003• 1 citation
Publisher
DOI
10.1007/978-1-4419-8907-9_114

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Summary form only given. The squeezing of an optical field is normally observed in the frequency domain using balanced homodyne detection to measure the fluctuation variance of a selected quadrature amplitude. The scheme amounts to a measurement of sub-Poissonian photon statistics and is sensitive to efficiencies as any such unconditional measurement is. Conditional measurements are independent of efficiencies. We propose a conditional homodyne detection scheme for observing the amplitude fluctuations of squeezed light. The central idea is to sample the photocurrent by triggering on a photon count and hence realize an efficiency independent measurement that resolves the quantum fluctuations in time. Our scheme directly measures the correlation function.
The Whittaker-Shannon decomposition provides a temporally localized description of squeezed light, making it applicable in the CW limit and leading to a definition of squeezing strength based on the number of photon pairs at a time. We show examples of its usefulness by calculating quadrature variance in a homodyne detection scheme, coincidence detection probabilities in the continuous-wave limit, and analyzing the Hong-Ou-Mandel effect for strongly squeezed light. Quadrature uncertainty falls farther below the shot noise limit when squeezing is strong, but effects due to correlations between photon pairs are most significant with weak squeezing. Our analysis extends previous results to more general scenarios, and we leverage the Whittaker-Shannon formalism to interpret them based on the temporal properties of photon pairs.