Quantum non-demolition measurements in optics: a review and some recent experimental results

We review the schemes which have been implemented, in order to achieve quantum non-demolition (QND) measurements in the optical domain. The simplest schemes can be obtained using the optical Kerr effect, which yields a crossed-phase modulation coupling between two light beams. Other schemes use either independently generated squeezed light, or coupled-mode parametric amplifiers. These various schemes can be characterized using three criteria, which describe, respectively, the quality of the quantum measurement, the non-destruction of the signal, and the conditional variance of the output signal beam, given the output “meter” beam (quantum-state preparation criterion). We show that quantitative limits can be defined with respect to these criteria, delimiting “classical” and “quantum” domains of operation. Then we present in more detail a new experimental implementation of QND measurements, using three-level atoms inside a doubly-resonant optical cavity.

[1]  Vladimir B. Braginsky,et al.  Quantum Nondemolition Measurements , 1980, Science.

[2]  V. Sandberg,et al.  ON THE MEASUREMENT OF A WEAK CLASSICAL FORCE COUPLED TO A QUANTUM MECHANICAL OSCILLATOR. I. ISSUES OF PRINCIPLE , 1980 .

[3]  J H Shapiro,et al.  Optical waveguide tap with infinitesimal insertion loss. , 1980, Optics letters.

[4]  Gerard J. Milburn,et al.  Quantum nondemolition measurements via quadratic coupling , 1983 .

[5]  R. Krotkov,et al.  Quantum Optics, Experimental Gravitation, and Measurement Theory , 1983 .

[6]  Yamamoto,et al.  Quantum nondemolition measurement of the photon number via the optical Kerr effect. , 1985, Physical review. A, General physics.

[7]  B. Yurke.  Optical back-action-evading amplifiers , 1985 .

[8]  Reid,et al.  Quantum nondemolition detection of optical quadrature amplitudes. , 1986, Physical review letters.

[9]  N. Imoto,et al.  A nonlinear optical-fiber interferometer for nondemolitional measurement of photon number , 1987 .

[10]  M. Levenson,et al.  Optical quantum nondemolition detection schemes in χ (2) media , 1987 .

[11]  Resolution in macroscopic measurements: progress and prospects , 1988 .

[12]  H J Kimble,et al.  Detection of amplitude modulation with squeezed light for sensitivity beyond the shot-noise limit. , 1988, Optics letters.

[13]  Walls,et al.  Quantum nondemolition measurements in an optical-fiber ring resonator. , 1988, Physical review. A, General physics.

[14]  Yurke,et al.  Back-action evading measurements of an optical field using parametric down conversion. , 1989, Physical review letters.

[15]  Squeezing and quantum noise correlations in dispersive two-photon optical bistability , 1989 .

[16]  Quantum correlations and non-demolition measurements using two-photon non-linearities in optical cavities , 1989 .

[17]  Zagury,et al.  Quantum nondemolition measurement of small photon numbers by Rydberg-atom phase-sensitive detection. , 1990, Physical review letters.

[18]  Quantum nondemolition measurements via a two photon transition , 1990 .

[19]  Collett,et al.  Nonideal quantum nondemolition measurements. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[20]  Slusher,et al.  Squeezing limits at high parametric gains. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[21]  Single-side-band optical quantum non-demolition measurement , 1991 .

[22]  Quantum-nondemolition measurements via second-harmonic generation. , 1991, Physical review letters.

[23]  Grangier,et al.  Observation of backaction-evading measurement of an optical intensity in a three-level atomic nonlinear system. , 1991, Physical review letters.

[24]  Cross-quadrature modulation with the Raman-induced Kerr effect. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[25]  P. Grangier,et al.  Quantum fluctuations in optical bistability: calculations from linear response theory , 1991 .

[26]  Nondegenerate two-mode squeezing and quantum-nondemolition measurements using three-level atoms in a cavity. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[27]  Characterization of nonideal quantum non-demolition measurements , 1992 .