Two-photon geometric optics

Pittman, T. B.; Strekalov, Dmitry; Klyshko, D. N.; Rubin, Morton H.; Sergienko, Alexander V.; Shih, Yanhua

doi:10.1103/physreva.53.2804

Cited by 192 publications

(130 citation statements)

References 63 publications

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“…The possibility of quantum correlations between light beams has played a major role in the recent development of quantum optics. In particular the spatial aspects of correlations of quantum optical fluctuations have been the object of several studies (see for example [1,2,3,4,5,6]) and have several new and promising applications such as quantum holography [7], the quantum teleportation of optical images [8], and the measurements of small displacements beyond the Rayleigh limit [9]. An overview of this relatively new branch of quantum optics, defined as quantum imaging, can be found in [10].…”

Section: Introductionmentioning

confidence: 99%

Quantum spatial correlations in high-gain parametric down-conversion measured by means of a CCD camera

Jedrkiewicz

Brambilla

Bache

et al. 2006

Journal of Modern Optics

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We consider travelling-wave parametric down-conversion in the high-gain regime and present the experimental demonstration of the quantum character of the spatial fluctuations in the system. In addition to showing the presence of sub-shot noise fluctuations in the intensity difference, we demonstrate that the peak value of the normalized spatial correlations between signal and idler lies well above the line marking the boundary between the classical and the quantum domain. This effect is equivalent to the apparent violation of the Cauchy-Schwartz inequality, predicted by some of us years ago, which represents a spatial analogue of photon antibunching in time. Finally, we analyse numerically the transition from the quantum to the classical regime when the gain is increased and we emphasize the role of the inaccuracy in the determination of the symmetry center of the signal/idler pattern in the far-field plane.

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Section: Introductionmentioning

confidence: 99%

Quantum spatial correlations in high-gain parametric down-conversion measured by means of a CCD camera

Jedrkiewicz

Brambilla

Bache

et al. 2006

Journal of Modern Optics

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“…Such spatial entanglement occurs in an infinite dimensional Hilbert space and is gaining increasing attention as a powerful way to encode and to exploit quantum information. [8,9,10,11,12,13] For example, knowledge of the spatial structure acquired by the mode functions of entangled signal and idler photons forms the basis of multidimensional quantum imaging, and it can be used to increase the efficiency of multidimensional quantum communication protocols. The spatial structure of the photon states can be expressed by a mode decomposition of their mode function in an appropriate basis.…”

mentioning

confidence: 99%

Quantum spiral bandwidth of entangled two-photon states

2003

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We put forward the concept of quantum spiral bandwidth of the spatial mode function of the two-photon entangled state generated in spontaneous parametric down-conversion. We obtain the bandwidth using the eigenstates of the orbital angular momentum of the biphoton states, and reveal its dependence with the length of the down-converting crystals and waist of the pump beam.The connection between the quantum spiral bandwidth and the entropy of entanglement of the quantum state is discussed.

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“…Transfer of angular spectrum between SPDC beams was used for optical imaging by means of two-photon optics [4,5]. The angular spectrum is also transferred from the pump beam to both down-converted beams, as examined, e.g., in Ref.…”

Section: Introductionmentioning

confidence: 99%

Experimental verification of energy correlations in entangled photon pairs

et al. 2003

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Properties of entangled photon pairs generated in spontaneous parametric down-conversion are investigated in interference experiments. Strong energy correlations are demonstrated in a direct way. If a signal photon is detected behind a narrow spectral filter, then interference appears in the Mach-Zehnder interferometer placed in the route of the idler photon, even if the path difference in the interferometer exceeds the coherence length of the light. Narrow time correlations of the detection instants are demonstrated for the same photon-pair source using the Hong-Ou-Mandel interferometer. Both these two effects may be exhibited only by an entangled state.

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Two-photon geometric optics

Cited by 192 publications

References 63 publications

Quantum spatial correlations in high-gain parametric down-conversion measured by means of a CCD camera

Quantum spatial correlations in high-gain parametric down-conversion measured by means of a CCD camera

Quantum spiral bandwidth of entangled two-photon states

Experimental verification of energy correlations in entangled photon pairs

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