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Physical Review Letters

Repeated Quantum Nondemolition Measurements of Continuous Optical Waves

Robert Bruckmeier, Hauke Hansen, Stephan Schiller

Published Aug 25, 1997• 27 citations
Publisher

Abstract

Repeated quantum nondemolition (QND) measurements for continuous optical waves were performed by combining a degenerate optical parametric amplifier and a squeezed-light beam splitter. Two-step quantum state preparation and three-beam entanglement of the individually squeezed output beams were demonstrated. The experiment is analyzed using a set of generalized criteria for nonideal individual and repeated QND measurements. The system was operated fully stabilized for up to 36 hours.

DOI
10.1103/physrevlett.79.1463

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Repeated quantum nondemolition (QND) measurements for continuous optical waves were performed by combining a degenerate optical parametric amplifier and a squeezed-light beam splitter. Two-step quantum state preparation and three-beam entanglement of the individually squeezed output beams were demonstrated. The experiment is analyzed using a set of generalized criteria for nonideal individual and repeated QND measurements. The system was operated fully stabilized for up to 36 hours.
A novel scheme for continuous-wave quantum nondemolition (QND) detection of optical-amplitude quadratures is implemented using a degenerate optical parametric amplifier. A monolithic ring resonator with optimizable frustrated total internal reflection coupling is used. Signal and meter output beams are squeezed by 0.5 dB and 2.2 dB, and 38% correlated. This implies the first realization of individually squeezed twin beams, as well as quantum state preparation ability for both output beams. A quantum optical tap efficiency T s + T m = 1.08 is achieved. The all-solid-state system was completely stabilized and continuously operated as a QND device for up to 36 hours.
Continuous quantum nondemolition (QND) measurements of the amplitude quadrature of a 1064 nm wave are performed with a monolithic dual-port degenerate optical parametric amplifier (OPA). The quality of the measurement is limited in part by the quantum fluctuations carried by the vacuum meter input wave. Improved QND measurements are realized by injecting 3.4 dB amplitude-squeezed light into the meter input port of the OPA. This achieves increased squeezing and correlation of the output signal and meter waves, and both improved operation as a quantum optical tap and as a quantum state preparator. The all-solid-state system was operated for 5 h with high stability.
The quantum nondemolition (QND) measurement is one of the most studied quantum measurement procedures. Usually, such a process involves the coupling of a single system of interest, called signal, with a single probe system, so that the relevant information in the signal system is indirectly measured by observing the probe system. Here we extend the concept of quantum nondemolition interaction to the cases in which the signal and the probe systems are each one multipartite continuous-variable system. Specifically, we propose a general scheme that performs the multipartite QND interactions, relying on beam-splitter couplings between the signal and probe modes with only two ancillary modes prepared offline in squeezed states. The scheme is also composed of homodyne detection and feedforward modulation. The ancillary modes are detected in the process, providing photocurrents for postmodulation of the output systems, as well as sufficient information to calculate genuine multipartite entanglement conditions of the input systems and to monitor similar conditions of the output systems.
A beam splitter is the simplest and clearest example of a coupling device with which quantum limited measurements can be performed. The limitations due to the vacuum fluctuations entering the usually unused port are circumvented by injection of a 3.7 dB squeezed wave into this port. Thereby phase-sensitive measurements that satisfy the quantum nondemolition criteria are realized (signal transfer Ts+Tm=1.29{T}_{s}{+T}_{m}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}1.29Ts​+Tm​=1.29, 32% correlation). The dependences of the signal transfer and correlation on beam splitter transmissivity are measured and found to be in quantitative agreement with a calculation that takes into account various inefficiencies. Continuous stable operation for 36 hours is achieved.
Methods for the enhancement of optical quantum nondemolition (QND) measurements are discussed. We review the use of meter squeezing as a QND enhancement tool and present a method of QND enhancement using an electro-optic feed-forward amplifier. By applying a linearized theory it is shown that these techniques work very well together. The combined effect of these enhancement methods is modeled for two QND systems, a squeezed light beam splitter and an optical parametric amplifier. We also discuss the conflict between the normal QND criteria and QND systems that involve noiseless amplification. We use an additional parameter to quantify the problem. A method for correcting the effects of noiseless amplification is discussed and modeled. We also discuss a special case of QND that eliminates the optical interaction between the meter and signal input beams. This system is shown to be a very effective QND device.