Optimal optical measurement of small displacements

Hsu, Magnus T. L.; Delaubert, V.; Lam, Ping Koy; Bowen, Warwick P.

doi:10.1088/1464-4266/6/12/003

Cited by 70 publications

(99 citation statements)

References 13 publications

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“…The associated quantum noise of the position measurement scales with √ N . Hence the positioning sensitivity of a coherent beam scales as √ N [17,19]. The same consideration applied to the sensitivity of beam momentum measurement shows an equivalent dependence of √ N .…”

Section: Definitions -Quantum Treatmentmentioning

confidence: 91%

“…We see from this expression that the zeroth order term is not dependent on d, and that the displacement is directly proportional to the derivative of the field amplitude ∂E(x)/∂x [17]. The transverse beam momentum p on the other hand, can be obtained from the transverse component of the wave-number of the beam, p = k sin θ, where k = 2π/λ and the beam tilt is θ.…”

Section: A Definitions -Classical Treatmentmentioning

confidence: 99%

“…Experimentally, the usual quadrature entanglement is generated by mixing two amplitude squeezed beams on a 50:50 beamsplitter. The same idea can be applied to generate EPR x-p entanglement, by using position squeezed beams [17]. Our scheme to produce x-p entanglement between two CW TEM 00 optical beams is shown in Figure 2 and (b) are generated via the in-phase combination of a vacuum squeezed TEM 10 beam with a coherent TEM 00 beam.…”

Section: E Entanglement Schemementioning

confidence: 99%

“…This coupled power interferes with the TEM 10 local oscillator beam, causing a change in photo-current observed at the output of the homodyne detector. Thus the difference photo-current of the TEM 10 homodyne detector is given by [17] (21) where N LO and N are the total number of photons in the local oscillator and displaced beams, respectively, with N LO ≫ N . The linearised approximation is utilised, where second order terms in δâ are neglected since N ≫ | δâ 2 n | for all n. In order to measure momentum, one could use a lens to Fourier transform to the far-field plane, where the beam is then measured using the TEM 10 homodyning scheme.…”

Section: G Detection Schemementioning

confidence: 99%

“…Our scheme is based on the concept of position squeezed beams where we have shown that we have to squeeze the transverse mode corresponding to the first order derivative of the mean field in order to generate the position squeezed beam [17]. Similarly to the generation of quadrature entangled beams, the position squeezed beams are combined on a beam-splitter to generate x-p entangled beams.…”

Section: Introductionmentioning

confidence: 99%

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Continuous-variable spatial entanglement for bright optical beams

et al. 2005

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A light beam is said to be position squeezed if its position can be determined to an accuracy beyond the standard quantum limit. We identify the position and momentum observables for bright optical beams and show that position and momentum entanglement can be generated by interfering two position, or momentum, squeezed beams on a beam splitter. The position and momentum measurements of these beams can be performed using a homodyne detector with local oscillator of an appropriate transverse beam profile. We compare this form of spatial entanglement with split detection-based spatial entanglement.

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Section: Definitions -Quantum Treatmentmentioning

confidence: 91%

Section: A Definitions -Classical Treatmentmentioning

confidence: 99%

Section: E Entanglement Schemementioning

confidence: 99%

Section: G Detection Schemementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Continuous-variable spatial entanglement for bright optical beams

et al. 2005

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Quantum resolution limit via coherent polarization Raman spectroscopy

Желтиков

2022

J Raman Spectroscopy

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As one of the milestones in early-era nonlinear Raman studies, Akhmanov et al. [Sov. Phys. JETP 47, 667 (1978)] and Koroteev et al. [Phys. Rev. Lett. 43, 398 (1979)] have demonstrated that polarization coherent anti-Stokes Raman scattering (CARS) spectroscopy can resolve overlapping spectral lines that cannot be resolved by means of spontaneous Raman scattering spectroscopy and argued that the resolution of this method is unlimited.Here, we show that information theory offers useful insights into this remarkable result. We demonstrate that spectral super-resolution attainable in polarization CARS can be understood in terms of the Fisher information and the pertinent Cramér-Rao lower bound. We show that, with a suitable polarization arrangement, coherent Raman scattering can be tailored to yield super-resolving spectral modes that provide a nonvanishing Fisher information even for deeply sub-Rayleigh spectral features, preventing the variance of spectral measurements from diverging no matter how fine these spectral features are. When the nonresonant coherent background scattering can be efficiently suppressed, the Fisher information of such superresolving modes reaches its upper bound as dictated by its quantum version-the quantum Fisher information.

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