Observation of a nonlocal Pancharatnam phase shift in the process of induced coherence without induced emission

Grayson, Timothy P.; Torgerson, J. R.; Barbosa, Geraldo A.

doi:10.1103/physreva.49.626

Cited by 22 publications

(11 citation statements)

References 11 publications

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“…Until now, geometric phases in optics have only been observed in experiments with classical light fields [5 -10] and with single photons [11,12]. In both cases a classical, as well as a quantum treatment predict the same geometric phase shift, since the phase is measured via the mutual coherence function [6].As shown by Klyshko [13],a light field with n identically polarized photons per mode is expected to acquire n times the phase of a one-photon field, which equals n times the phase of a classical field.…”

Section: Introductionmentioning

confidence: 99%

Geometric phases in two-photon interference experiments

1995

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Photon pairs produced by type-I and type-II parametric down-conversion are passed through a Michelson interferometer. Two quarter-wave plates in one arm of the interferometer allow variation of the polarization state of the photons. We investigate experimentally the geometric phase or Pancharatnam phase acquired by single photons and photon pairs dependent on the solid angle that is subtended by the circuit that represents the varying state of polarization on the Poincare sphere. It is found that the geometric phase acquired by the pair depends on the initial polarization state of the two photons. If both photons are in equal states of linear polarization, we observe a doubling of the geometric phase compared to single photons; in the case of orthogonal states of linear polarization, the geometric phase is completely canceled. Our results show the role of Pancharatnam's phase in nonclassical two-photon interference phenomena and the interplay between the geometric phase and the dynamical phase in these phenomena.PACS number(s): 03.65. Bz, 42.50.Dv

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Section: Introductionmentioning

confidence: 99%

Geometric phases in two-photon interference experiments

1995

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“…This way these two photon pairs were entangled. As a consequence the two signal photon channels from the two crystals could be contained in a balanced interferometer and single photon ( 1 st -order) interference at the superposition of the two signal channels was observed [6][7][8][9][10]. This experiment can be viewed as a Mach-Zehnder interferometer for a single photon.…”

Section: Introductionmentioning

confidence: 99%

Phase memory across two single-photon interferometers including wavelength conversion

2014

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Spontaneous parametric down conversion (SPDC) in a nonlinear crystal generates two single photons (signal and idler) with random phases, each. Thus, no 1 st -order interference between them occurs. However, coherence can be induced in a cascaded setup of two crystals, if e.g. the idler modes of both crystals are aligned to be indistinguishable. Due to the effect of phase memory it is found that the first order interference of the signal beams can be controlled by the phase delay between the pump beams. And even for pump photon delays much larger than the coherence length of the SPDC-photons the visibility is above 90%. These high visibilities reported here prove for an almost perfect phase memory effect across the two interferometers for the pump and the signal photon modes.

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“…Analysis of relevant polarization effects, however, is less extensive [23][24][25]. Grayson et al demonstrated that signal photons acquire the non-local Pancharatnam phase, which was introduced into the path of idler photons by a set of retardation elements [24]. Recently, Lahiri et al used the nonlinear Mach-Zehnder interferometer and introduced a polarizer into the path of signal photons and an attenuator into the path of idler photons to study the degree of polarization in such a system [25].…”

Section: Introductionmentioning

confidence: 99%

Polarization effects in nonlinear interference of down-converted photons

Paterova¹,

Yang²,

An³

et al. 2019

Opt. Express

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We study polarization effects in the nonlinear interference of photons generated via frequency non-degenerate spontaneous parametric down conversion. Signal and idler photons generated in the visible and infrared (IR) range, are split in different arms of a nonlinear Michelson interferometer. The interference pattern for signal photons is detected, and it is shown to be dependent on the polarization rotation of idler photons, introduced by a birefringent sample. Based on this concept, we realize two new methods for measurement of sample retardation in the IR range by using well-developed and inexpensive components for visible light. The accuracy of the methods meets current industry standards. The developed IR polarimetry technique is relevant to material research, optical inspection, and quality control.

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Observation of a nonlocal Pancharatnam phase shift in the process of induced coherence without induced emission

Cited by 22 publications

References 11 publications

Geometric phases in two-photon interference experiments

Geometric phases in two-photon interference experiments

Phase memory across two single-photon interferometers including wavelength conversion

Polarization effects in nonlinear interference of down-converted photons

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