Erratum: Influence of decorrelation on Heisenberg-limited interferometry with quantum correlated photons [Phys. Rev. A<b>57</b>, 4004 (1998)]

Kim, Taesoo; Pfister, Olivier; Holland, Murray; Noh, Jaewoo; Hall, John L.

doi:10.1103/physreva.58.2617.2

Cited by 11 publications

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“…This is of interest for Heisenberg-limited interferometry, as was first proposed by Holland and Burnett [6,7]. It is also equivalent to the generation of a bright entangled state, albeit a nonmaximally entangled one.…”

Section: Summary Of the Most Important Resultsmentioning

confidence: 96%

“…Nonetheless, the quantum interference effect is still taking place, as we proved theoretically some time ago [7]. The effect of this interference was essentially to bunch all photons at either beam splitter's output, thereby creating an extremely noisy photon-number differ-…”

Section: Summary Of the Most Important Resultsmentioning

confidence: 99%

“…This can be done by vacuum squeezing [4,5] or by using number-correlated inputs [6,7] which is the method that was used experimentally in this proposal. For a fairly complete review spanning many physics fields, see Ref.…”

Section: B the Wave-splitting Noisementioning

confidence: 99%

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Realization of an Ultrasensitive Heisenberg-Limited Interferometer

Pfister¹

2006

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Public Reporting Burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Realization of an Ultrasensitive Heisenberg-Limited Interferometer: Final Report Report Title ABSTRACTThe goal of the project "Realization of an Ultrasensitive Heisenberg-Limited Interferometer," supported by ARO grant DAAD190110721 from August 1, 2001 to July 31, 2006, was the investigation of quantum interferometry with bright nonclassical light beams emitted by an ultrastable optical parametric oscillator (OPO). Theoretical studies of the Holland-Burnett Bayesian detection scheme were conducted for realistic experimental implementation in photonic quantum optics. The main result, applicable to any boson wave (eg matter waves), is that the ultimate Heisenberg limit 1/N (N being the average number of photons detected in the measurement) can still be reached in the presence of losses for Bayesian detection, if the losses do not exceed 1/N. The main experimental results were the first demonstration of macroscopic Hong-Ou-Mandel quantum interference at a beam splitter and the demonstration of heterodyne polarimetry with a noise floor 4.8 dB below the interferometric shot noise limit (1/sqrt{N}). The latter can be applied to enhancing the sensitivity of chiral molecule detection. Realistic extensions of this study are larger amounts of squeezing (-10 dB and beyond) as well as RF broadband phase measurements, which are a direct consequence of the stability performance of our OPO and for which we also present preliminary results.

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Section: Summary Of the Most Important Resultsmentioning

confidence: 96%

Section: Summary Of the Most Important Resultsmentioning

confidence: 99%

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Realization of an Ultrasensitive Heisenberg-Limited Interferometer

Pfister¹

2006

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“…Such states give the Heisenberg limit as well [16], even though the measurement procedure is complicated by the fact that the output intensities show no interference fringes. A Bayesian detection procedure [15] was proposed to remedy the situation and we have confirmed its experimental feasibility by numerically simulating nonideal conditions [17].…”

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confidence: 99%

“…Out of the four possible beam-splitter scattering probability amplitudes, the two corresponding to the output state Of even greater interest is the situation where the beam splitter input is |k a ,ǫ, ω; N a |k b ,ǫ, ω; N b [20] or, better yet, the more general form expressed by Eq. (1), for which the physics is identical [16]. Close approximations to such states are generated above threshold in a type II OPO, which emits intense, laser-like, cross-polarized, numberdifference squeezed beams [21] that can be frequencystabilized by use of standard techniques of laser metrology [22,23] or optical self-locking [24].…”

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Quantum Interference of Ultrastable Twin Optical Beams

Feng

Pfister

2004

Phys. Rev. Lett.

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We report the first measurement of the quantum phase-difference noise of an ultrastable nondegenerate optical parametric oscillator that emits twin beams classically phase-locked at exact frequency degeneracy. The measurement illustrates the property of a lossless balanced beam-splitter to convert number-difference squeezing into phase-difference squeezing and, thus, provides indirect evidence for Heisenberg-limited interferometry using twin beams. This experiment is a generalization of the Hong-Ou-Mandel interference effect for continuous variables and constitutes a milestone towards continuous-variable entanglement of bright, ultrastable nondegenerate beams. and progress has been made in this direction [9]. Recently, Silberhorn et al. made a beautiful demonstration of continuous-variable entanglement of picosecondpulsed optical beams, by simultaneous squeezing of the number sum and of the phase difference [10]. For highprecision measurements, however, stable CW beams are preferable. One interesting system for this purpose is the ultrastable nondegenerate optical parametric oscillator (OPO), which emits intense twin beams. In a type II OPO, these twin beams are orthogonally polarized. It is thus easy to separate them spatially and to subsequently make their polarizations parallel. Then, the twin beams can be made indistinguishable by locking their frequency difference to zero, which has been an experimental challenge. This Letter reports the first experimental demonstration of nonclassical interference of such macroscopic boson fields.In general, a quantum interference experiment consists in "splitting" a quantum field into two subfields, each experiencing its own phase evolution, and then "recombining" these subfields and performing a measurement. The corresponding probability distribution presents fringes which give information about the phase difference of the two subfields. Examples include the Mach-Zehnder interferometer for light and the Ramsey interferometer for matter, which are isomorphic to each other. "Nonclassical interference" may either mean that waves of a nonclassical nature are involved (e.g. matter waves), or that their behavior itself has no classical optical equivalent. The latter situation is what interests us, and is determined by the role of the vacuum modes of the quantum field, i.e. the physics of the "splitting." The physics of the beam splitter ( Fig. 1) takes center stage here and also determines the phase measurement noise. Take the example of an initial N -photon Fock state |k a ,ǫ, ω; N a , wherek andǫ are the unit wave and polarization vectors and ω the angular frequency. The beam splitter output is given by the interference of this state with the corresponding polarization-and frequency-degenerate vacuum state |k b ,ǫ, ω; 0 b . As was first demonstrated by Caves in 1980 [11], this yields a (classically intuitive) binomial probability distribution of the photon number between modes c and d, with standard deviation ∆N out − = ∆(N c − N d ) ∝ N 1/2 . Using the Heisenberg inequality...

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Coherence and the statistics of the phase difference between partially polarized electromagnetic waves

Luis

2010

Optics Communications

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Erratum: Influence of decorrelation on Heisenberg-limited interferometry with quantum correlated photons [Phys. Rev. A57, 4004 (1998)]

Cited by 11 publications

References 0 publications

Realization of an Ultrasensitive Heisenberg-Limited Interferometer

Realization of an Ultrasensitive Heisenberg-Limited Interferometer

Quantum Interference of Ultrastable Twin Optical Beams

Coherence and the statistics of the phase difference between partially polarized electromagnetic waves

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