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Physical Review A

Photon statistics of resonance fluorescence in a squeezed vacuum

Richard D’Souza, Arundhati S. Jayarao, S. V. Lawande

Published Apr 1, 1990• 16 citations
Publisher

Abstract

We present some effects of a squeezed vacuum on the photon statistics of a coherently driven two-level atom. The intensity-intensity correlation function ${\mathit{g}}^{(2)}$(\ensuremath{\tau}), Mandel's response function Q(T), and the photon-counting distribution P(0,T) show the manifestation of the inhibition of atomic phase decay in the presence of a squeezed vacuum.

DOI
10.1103/physreva.41.4083

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Journal of the Physical Society of Japan•Sep 1, 2000•0 citations
We present some effects of a squeezed vacuum on the photon statistics of a coherently driven two-level atom. The intensity-intensity correlation function g(2){\mathit{g}}^{(2)}g(2)(\ensuremath{\tau}), Mandel's response function Q(T), and the photon-counting distribution P(0,T) show the manifestation of the inhibition of atomic phase decay in the presence of a squeezed vacuum.
We study the statistical properties of fluorescence from a coherently driven two-level atom placed in a broadband squeezed vacuum. The photon statistics are studied in terms of waiting time distribution or the delay function that describes the probability of emission of the very next photon following an emission of a photon initially. In an intense field limit, we analytically obtain the delay function for total emission and examine its phase-dependent behavior in a squeezed vacuum. We further analytically calculate the delay functions for the Mollow sidebands and use them to discuss the time correlation and successive emission of photons belonging to the left and right sidebands.
We consider effects of a broadband squeezed reservoir on the second-order intensity correlation, and on squeezing properties in the resonance fluorescence of a bichromatically driven two-level atom in a cavity of moderate Q. Phase-dependent squeezed reservoir effects change the photon statistics, and lead to an amplification of the degree of squeezing. Squeezed reservoir effects in the second-order correlation function ${g}^{(2)}(\ensuremath{\tau})$ are determined by two-photon emission processes which can be enhanced or suppressed in dependence on the squeezing phase.
We consider the interaction of a two-level atom with a squeezed vacuum, both in free space and in a cavity of moderate Q. In the latter case, only vacuum modes coupled to the cavity are squeezed. In both cases we calculate the following quantities for the fluorescent light fields: the second-order intensity correlation function g(2){\mathit{g}}^{(2)}g(2)(\ensuremath{\tau}), the spectrum of squeezing, the coherent spectrum, and the spectrum obtained in a pump-probe absorption measurement. Nonclassical behavior is discussed and comparison to an ordinary vacuum and thermal fields is made. \textcopyright{} 1996 The American Physical Society.
The photon statistics of the two-photon fluorescence of a two-level atom in a squeezed vacuum is investigated by using the second-order correlation function g (2) ( t ). Based on its analytical solution, g (2) ( t ) is found to be an oscillatory function of time when the average photon number of the squeezed vacuum light field is above a threshold. The origin of the oscillatory behavior of g (2) ( t ), which generally results from the external driving field for resonance fluorescence, is the driving effect of the squeezed vacuum light field on the atom. It is also found that the oscillatory behavior of g (2) ( t ) can provide a measurement of the ac Stark effect.