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Optics and Spectroscopy

Resonance nonperturbing detector of weak forces in the regenerative regime

Victor V. Kulagin

Published Oct 1, 2001• 1 citation
Publisher

Abstract

The recording of weak classical forces with the help of a resonance optical detector without reciprocal effect is considered. Parametric regeneration of an optical cavity by way of introducing an additional quadratic nonlinear element with illumination at the double frequency is proposed for improving the sensitivity of the system. The limiting sensitivity of such a converter is estimated for a squeezed state of the pumping field and its outlook for practical realization are discussed.

DOI
10.1134/1.1412670

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The recording of weak classical forces with the help of a resonance optical detector without reciprocal effect is considered. Parametric regeneration of an optical cavity by way of introducing an additional quadratic nonlinear element with illumination at the double frequency is proposed for improving the sensitivity of the system. The limiting sensitivity of such a converter is estimated for a squeezed state of the pumping field and its outlook for practical realization are discussed.
ABSTRACT The possibility of sensitivity improvement for parametric transducers with two-component pump by new algorithm of data processing is discussed. Keywords : Quantum noises , parametric systems , quantum non-demolation measurement , optimal filtration of vector signals 1. INTRODUCTION A measurement of a weak classical force acting on a high quality mechanical system plays an important role infundamental physical experiments with probe bodies (for example, in detection of cosmic gravitational waves). Anelaboration of a low noise sensitive element which is able to record a weak displacement of mechanical system is espessially essential in these experiments. The most perspective variant of such transducers is an optical Fabry-Perot interferometer in which one mirror is rigidly connected to a mass of a mechanical oscillator.A maximal sensitivity of a parametric transducer based on modulation of a reactive parameter of an electrical(optical) system is defined in non-regenerative regime by the standard quantum limit'
The generation of nonclassical states of light with specified frequency-dependent squeezing by way of introducing a correlation between the phase and amplitude of the input field is considered. Three schemes for measuring amplitude fluctuations of the input beam, based on a nondemolition measurement of the intensity in a nonlinear cubic crystal, the effect of light rectification in a quadratic optical crystal, and the use of a non-degenerate optical parametric oscillator, are proposed. The maximum possible value of noise suppression is estimated for each scheme. The prospects for practical realization of the proposed method for generation of frequency-dependent squeezed states are discussed.
Abstract In this paper, the use of optical parametric amplifier to effectively improve the detection performance of nonlinear opto-mechanical system is studied theoretically. At the same time, it is found that by adjusting the nonlinear gain of the optical parametric amplifier and the effective detuning between the input light field and the cavity field, the quantum noise of about 14dB in the squeezed quadrature can be reduced, and the sensitivity of weak force detection can be increased by more than 2 times. On the other hand, the phenomenon of reaction noise cancellation caused by nonlinear cavity combined with homodyne measurement is analyzed and the method of quantum non-destructive measurement is realized, which provides technical reference for weak force detection of nonlinear opto-mechanical system.
Weak force amplification describes the process of amplifying a faint low-frequency signal by means of an additional high-frequency modulation, which plays a vital role in quantum sensing and high-precision measurement. However, the potential enhancement of weak-force amplification in non-Markovian environments has received little attention. In this paper, we firstly study the amplification of weak forces within cavity-optomechanical systems incorporating a degenerate optical parametric amplifier (DOPA) under the Markovian assumption. The results show that the weak force can be effectively amplified by using two high-frequency signals via vibrational resonance through adjusting the strength and phase of the DOPA with different pumping frequencies. Moreover, we extend the study of the amplification of the weak force to the non-Markovian environment which consists of a collection of infinite oscillators. We illustrate that the amplification exhibits a conversion from the non-Markovian regime to Markovian regime by controlling environmental spectral width. This conversion leads to enhancements of amplification, which originates from the excitation backflow obtained through the interaction between the cavity and non-Markovian environment. By controlling DOPA to amplify weak forces, the study achieves amplification in the non-Markovian regime, offering new directions for quantum optics research.
Squeezed states of light represent a manifestation of the nonclassical character of the electromagnetic field and hence are of great intrinsic interest in quantum optics. There are as well a number of applications in measurement science and optical communication associated with the possibility of sensitivity beyond the standard quan­tum limit. The experiments that we have undertaken attempt to explore the degree of achievable and detectable squeezing in three distinct physical systems. From a conceptual point of view each is in some sense ideal and should provide a large degree of squeezing. However, in practice each offers a potential set of advantages and disadvantages associated with technological constraints and with a lack of precise correspondence between experiment and existing theoretical models. The three experiments that we describe are as follows: (1) degenerate parametric oscillation in a doubly resonant cavity pumped by the frequency-doubled light from a Nd:YAG laser at 1.06 μm, (2) intracavity second harmonic generation in a doubly resonant cavity pumped at a fundamental wave­length of 515 nm with an Ar+ laser, and (3) optical bistability for a collection of two-level atoms within a high finesse interferometer of decay rate comparable to the inverse atomic lifetime.
A new principle of a parametric optical amplifier of the reflection type with a controlled backward wave is proposed. The excess noise in such a laser converter, due to zero-point fluctuations of a photodetector acting as a black body absorber, is suppressed by using an additional circulator window which provides coupling to a series of degenerate reflection-type parametric amplifiers tuned to combination frequencies. A squeezed state of the electromagnetic field inside the converter resonator observed at the combination frequencies can be used to detect ultrasmall signals. An expression is obtained for the calculation of the threshold sensitivity.