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Theoretical Interpretation of Experimental Results on Four-Photon de Broglie Wavelength Measurement

Ruopeng Wang

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

Experimental results of four-photon de Broglie wavelength measurement are analyzed based on a local description for the quantum state and optical field of photon pairs generated from spontaneous parametric down-conversion(SPDC).The agreement between the theoretical results and reported experimental is found.

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Summary form only given. J. Jacobson et al. (1995) have shown theoretically that the measured de Broglie wavelength of an object is dependent on its internal structure. A fourth-order Young interference experiment is done to demonstrate a practical way to measure the photonic de Broglie wavelength of a two-photon wavepacket. Light in the two-photon state generated collinearly in the process of spontaneous parametric down-conversion. By modifying the transverse field profile of the pump laser beam that generates the two-photon beam we demonstrate experimentally and theoretically that it is possible to measure the de Broglie wavelength of the constituents parts of the wavepacket, the de Broglie wavelength of the two-photon wavepacket (biphoton) as a whole and an undefined intermediate de Broglie wavelength between the two cases.
A fourth-order Young interference experiment was done to demonstrate a practical way to measure the de Broglie wavelength of a two-photon wave packet. A two-photon collinear beam is generated by type-II spontaneous parametric down-conversion. By modifying the transverse field profile of the pump laser beam that generates the two-photon beam we demonstrate that it is possible to measure the de Broglie wavelength of the single-photon constituents of the two-photon wave packet, the de Broglie wavelength of the two-photon wave packet as a whole and an ill defined intermediate de Broglie wavelength between the two cases.
Twofold reduced de Broglie wavelengths have been observed in two-photon interference experiments. With present technology it should be possible to observe a fourfold reduction when using a four-photon state from spontaneous parametric down-conversion. It is proposed to use a Mach–Zehnder set-up, which shows boson enhancement at the input beamsplitter and thus allows us to circumvent fourth-order non-linearities which would be necessary otherwise. The fourfold decrease in the observed de Broglie wavelength with perfect visibility is in principle achievable. This constitutes a reduction of the observed de Broglie wavelength below the wavelength of the generating source.