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Springer proceedings in physics

Inhibition of Atomic Phase Decays by Squeezed Light: A Direct Effect of Squeezing

Crispin W. Gardiner

Published Jan 1, 1986• 5 citations
Publisher
DOI
10.1007/978-3-642-71407-8_2

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Inhibition of Atomic Phase Decays by Squeezed Light: A Direct Effect of Squeezing

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By reduction of the electromagnetic field fluctations in one quadrature phase, squeezed light can inhibit the phase decay of an atom. This gives three relaxation times: the usual longitudinal relaxation time and two different transverse relaxation times, which are inversely proportional to the variances of the two quadrature phases of the incident light. With sufficient reduction of one variance, the corresponding relaxation time can be made arbitrarily long. The two transverse decay times are observable in the spectrum of the fluorescent light, thus providing measure of the squeezing in the incident light.

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Inhibition of atomic phase decays by squeezed light in a microscopic Fabry-Pérot cavity

A. S. Parkins, Crispin W. Gardiner

The inhibition of atomic phase decays by squeezed light, as first predicted by Gardiner [Phys. Rev. Lett. 56, 1917 (1986)], has yet to be confirmed experimentally. A major obstacle to such an experiment is the production of an effective squeezed-vacuum--atom coupling, so that the atom interacts only with squeezed modes of the radiation field. In this paper we propose the use of a microscopic plane-mirror Fabry-P\'erot cavity to effect a strong selection of modes coupling to the atom. It is shown that a significant reduction in fluctuations experienced by the atom can be achieved in one quadrature, with an input squeezed beam of modest angular dimensions, provided that the phase (and to lesser extent the amplitude) characteristics of the input beam are suitably matched to the cavity.

Physical Review A•Oct 1, 1989•66 citations

Effect of finite-bandwidth squeezing on inhibition of atomic-phase decays

A. S. Parkins, Crispin W. Gardiner

The inhibition of atomic-phase decays by squeezed light, and consequent line narrowing, is reexamined for the case of finite-bandwidth squeezing, as produced in the output of a degenerate parametric amplifier. The extension of previous work to incorporate the effect of nonwhite, or colored, noise is accomplished via an adjoint equation, which gives the time evolution of a matrix functional of the incoming field. Simple equations for atomic variables are derived in which noise operators are defined so as to commute with each other and with all other quantities. This facilitates the reduction of a purely quantum-mechanical problem to a classical problem, solvable by classical stochastic-approximation methods. In particular, small-noise-approximation methods and simulations are carried out for a wide range of parameters describing the squeezed-field input. The method of simulation is extended to the computation of correlation functions and spectra for a realistically achievable set of parameters, with consideration given to reflections of the input in the emitted light. The fundamental effect is confirmed, and modifications to previous results are given.

Physical Review A•May 1, 1988•100 citations
By reduction of the electromagnetic field fluctations in one quadrature phase, squeezed light can inhibit the phase decay of an atom. This gives three relaxation times: the usual longitudinal relaxation time and two different transverse relaxation times, which are inversely proportional to the variances of the two quadrature phases of the incident light. With sufficient reduction of one variance, the corresponding relaxation time can be made arbitrarily long. The two transverse decay times are observable in the spectrum of the fluorescent light, thus providing measure of the squeezing in the incident light.
The inhibition of atomic phase decays by squeezed light, as first predicted by Gardiner [Phys. Rev. Lett. 56, 1917 (1986)], has yet to be confirmed experimentally. A major obstacle to such an experiment is the production of an effective squeezed-vacuum--atom coupling, so that the atom interacts only with squeezed modes of the radiation field. In this paper we propose the use of a microscopic plane-mirror Fabry-P\'erot cavity to effect a strong selection of modes coupling to the atom. It is shown that a significant reduction in fluctuations experienced by the atom can be achieved in one quadrature, with an input squeezed beam of modest angular dimensions, provided that the phase (and to lesser extent the amplitude) characteristics of the input beam are suitably matched to the cavity.
The inhibition of atomic-phase decays by squeezed light, and consequent line narrowing, is reexamined for the case of finite-bandwidth squeezing, as produced in the output of a degenerate parametric amplifier. The extension of previous work to incorporate the effect of nonwhite, or colored, noise is accomplished via an adjoint equation, which gives the time evolution of a matrix functional of the incoming field. Simple equations for atomic variables are derived in which noise operators are defined so as to commute with each other and with all other quantities. This facilitates the reduction of a purely quantum-mechanical problem to a classical problem, solvable by classical stochastic-approximation methods. In particular, small-noise-approximation methods and simulations are carried out for a wide range of parameters describing the squeezed-field input. The method of simulation is extended to the computation of correlation functions and spectra for a realistically achievable set of parameters, with consideration given to reflections of the input in the emitted light. The fundamental effect is confirmed, and modifications to previous results are given.