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Journal of Optics B Quantum and Semiclassical Optics

Optical displacement transducer with pulsed pump for experiments with probe bodies

Victor V. Kulagin

Published Apr 1, 2000• 1 citation
Publisher

Abstract

The sensitivity of the displacement transducer pumped with a train of high-intensity laser pulses is estimated. Due to the multicomponent character of the pump a consideration of transformations of the signal and the noises between optical modes plays an important role in estimation of the potential sensitivity. An expression for the minimal detectable external classical force resembles those for the continuous wave pumping with substitution of the laser power by a time-averaged power of pulsed laser. A possible scheme for back-action noise compensation for such transducers is considered. For full suppression of back-action noise the field of local oscillator has to be pulsed with the same time dependence as the pump field.

DOI
10.1088/1464-4266/2/2/306

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The sensitivity of the displacement transducer pumped with a train of high-intensity laser pulses is estimated. Due to the multicomponent character of the pump a consideration of transformations of the signal and the noises between optical modes plays an important role in estimation of the potential sensitivity. An expression for the minimal detectable external classical force resembles those for the continuous wave pumping with substitution of the laser power by a time-averaged power of pulsed laser. A possible scheme for back-action noise compensation for such transducers is considered. For full suppression of back-action noise the field of local oscillator has to be pulsed with the same time dependence as the pump field.
The sensitivity of the displacement transducer pumped with a train of high-intensity laser pulses is estimated. Due to the multicomponent character of the pump a consideration of transformations of the signal and the noises between optical modes plays an important role in estimation of the potential sensitivity. An expression for the minimal detectable external classical force resembles those for the continuous wave pumping with substitution of the laser power by a time averaged power of pulsed laser. Possible scheme for back action noise compensation for such transducers is considered. For full suppression of back action noise the field of local oscillator has to be pulsed with the same time dependence as the pump field.
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'
Measurement of the position of an oscillator by means of a Fabry-Perot resonator with one moving mirror (oscillator mass) pumped by a laser in the regime of strongly detuned pumping is analyzed. Compensation of fluctuational back action in the reflected wave is demonstrated. However, this does not allow overcoming the standard quantum limit due to the dynamic back action. Additionally, the possibility of detecting mechanical squeezing under parametric action on a mechanical oscillator is analyzed.
The Standard Quantum Limit (SQL) in classical force detection using mechanical systems arises from quantum back-action, which disturbs the oscillator’s evolution during measurement. We present a theoretical analysis of a scheme that enables broadband back-action evading (BAE) force sensing by employing a multidimensional optical transducer. The proposed system consists of a mechanical oscillator coupled to an optical structure supporting three distinct optical modes, with mode spacing approximately matched to the mechanical resonance. The central mode is coherently pumped, and the signal is extracted by monitoring the light emitted from the adjacent sideband modes. By selecting appropriate optical quadratures for detection and applying tailored post-processing to the measurement data, our approach suppresses back-action noise across a wide frequency range, enabling sensitivity beyond the SQL. The architecture can be interpreted as a composite system hosting quantum-mechanics-free subsystems (QMFS), which effectively isolate the measured observable from quantum fluctuations by exploiting correlations akin to those found in systems with engineered “negative mass” response. We also show that the adjacent sideband modes are entangled and discuss possible methods for detecting this entanglement. This configuration opens a promising route toward high-precision quantum metrology without being constrained by quantum measurement noise.
After a general review of the analysis already available for back-action evasion schemes a perturbative approach is introduced and applied to a simple case. As a generalization of the back-action evasion schemes the concept of optimal pumping spectrum is introduced: it works for a unified treatment of stroboscopic and continuous quantum nondemolition strategies. Generalized back-action evasion strategies are introduced and studied in simple applications: they open the possibility for developing high-sensitivity schemes for the measurements of small forces. In particular, estimates of the noise figure for generalized back-action evasion transducers are discussed in detail.
The high-sensitivity quantum detection of a resonant classical force acting on a quantum harmonic oscillator can be significantly improved by employing a resonant optical parametric transducer. This technique leverages the unique properties of parametric interactions to enhance the response of the measurement system while maintaining quantum-limited performance. We demonstrate that such a configuration not only enables quantum back-action evading (BAE) measurements, surpassing the Standard Quantum Limit (SQL) of sensitivity, it also provides a mechanism for noiseless amplification of the classical signal. The key to this enhancement lies in the ability of the parametric transducer to generate and separately measure the upper and lower modulation sidebands induced by the external force. By decoupling and analyzing these sidebands independently, the system becomes capable of amplifying the signal without introducing additional noise, effectively circumventing quantum measurement constraints.