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Physical Review A

Observation of a ‘‘quantum eraser’’: A revival of coherence in a two-photon interference experiment

Paul G. Kwiat, Aephraim M. Steinberg, R. Y. Chiao

Published Jun 1, 1992• 297 citations
Publisher

Abstract

We have observed an effect known as a quantum eraser, using a setup similar to one previously employed to demonstrate a violation of Bell's inequalities. In this effect, an interfering system is first rendered incoherent by making the alternate Feynman paths which contribute to the overall process distinguishable; with our apparatus this is achieved by placing a half wave plate in one arm of a Hong-Ou-Mandel interferometer so as to rotate the polarization of the light in that arm by 90\ifmmode^\circ\else\textdegree\fi{}. This adds information to the system, in that polarization is a new parameter which serves to label the path of a given photon, even after a recombining beam splitter. The quantum ``eraser'' removes this information from the state vector, after the output port of the interferometer, but in time to cause interference effects to reappear upon coincidence detection. For this purpose, we use two polarizers in front of our detectors. We present experimental results showing how the degree of erasure (which determines the visibility of the interference) depends on the relative orientation of the polarizers, along with theoretical curves. In addition, we show how this procedure may do more than merely erase, in that the act of ``pasting together'' two previously distinguishable paths can introduce a new relative phase between them.

DOI
10.1103/physreva.45.7729

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We have observed an effect known as a quantum eraser, using a setup similar to one previously employed to demonstrate a violation of Bell's inequalities. In this effect, an interfering system is first rendered incoherent by making the alternate Feynman paths which contribute to the overall process distinguishable; with our apparatus this is achieved by placing a half wave plate in one arm of a Hong-Ou-Mandel interferometer so as to rotate the polarization of the light in that arm by 90\ifmmode^\circ\else\textdegree\fi{}. This adds information to the system, in that polarization is a new parameter which serves to label the path of a given photon, even after a recombining beam splitter. The quantum eraser'' removes this information from the state vector, after the output port of the interferometer, but in time to cause interference effects to reappear upon coincidence detection. For this purpose, we use two polarizers in front of our detectors. We present experimental results showing how the degree of erasure (which determines the visibility of the interference) depends on the relative orientation of the polarizers, along with theoretical curves. In addition, we show how this procedure may do more than merely erase, in that the act of pasting together'' two previously distinguishable paths can introduce a new relative phase between them.
We report a quantum-eraser experiment with frequency-entangled photon pairs generated by nondegenerate parametric down conversion. The relationship between which-path information and two-photon fringe visibility has been investigated by means of photon polarizations in a Hong-Ou-Mandel interferometer. Although photons are not of the same frequency and are not superposed at the beam splitter, the results of the experiment show the revival of the fringe pattern by removing the path information in the interferometer by means of polarizations in front of the detectors.
A straightforward derivation of a first-quantization two-photon state vector is presented for the Hong-Ou-Mandel interferometer with a possible half-wave plate and possible linear analyzers in the ports. It is shown that one is dealing with a quantum eraser in a somewhat broader physical sense: It is not strictly the interference from version I of the experiment, the interference that has been suppressed by entanglement in version II, that is revived in version III; but it is an analogous interference. Besides, the coincidence probability for arbitrary-angle analyzers in the general case of arbitrary polarization in the lower arm of the interferometer is derived. The interference phenomenon of a complete decoupling of the partial loss of interference and the coincidence events in the ports is demonstrated. It is pointed out that the phenomenon of distant polarization (a special case of distant preparation) carries all the nonlocality between the two photons in the two ports.
The quantum eraser experiment was revisited, using entangled photons of visible light in a Hong-Ou-Handel type interferometer with a magnitude two orders higher than before in count rates. We introduced which-path information by polarization and subsequently erasied this information by means of polarizers in front of detectors. It was found that the visibility of the interference fringe is revived from 0% to 88% as the polarizers are changed from 0 ∘^{\circ}∘ to 45 ∘^{\circ}∘ .
We report a quantum eraser experiment which actually uses a Young double slit to create interference. The experiment can be considered an optical analogy of an experiment proposed by Scully, Englert, and Walther [Nature (London) 351, 111 (1991)]. One photon of an entangled pair is incident on a Young double slit of appropriate dimensions to create an interference pattern in a distant detection region. Quarter-wave plates, oriented so that their fast axes are orthogonal, are placed in front of each slit to serve as which-path markers. The quarter-wave plates mark the polarization of the interfering photon and thus destroy the interference pattern. To recover interference, we measure the polarization of the other entangled photon. In addition, we perform the experiment under ``delayed erasure'' circumstances.
In this dissertation, an optical quantum eraser experiment, which can be considered an optical analogy of an experiment proposed by Scully, Englert and Walther(SEW) [1] is performed. Using photons in entangled Bell-states, we can choose whether to observe which-path information or an interference pattern. An appealing feature of this quantum eraser is that the experiement actually uses a Young double-slit to create interference. One photon of an entangled pair is incident on a Youngdouble slit of appropriate dimensions to create an interference pattern on a distant \screen". Quarter-wave plates, orientated so that their fast axes are orthogonal, are placed in front of each slit, serve as which-path markers. The presence of the quarter-wave plates destroys the interference pattern. To recover interference, an appropriate polarization measurement on the other entangled photon is performed. In addition, a \delayed quantum erasure" experiment is performed. The dangers of an erroneous interpretation of quantum theory in the delayed erasure situation are briey discussed. The generation of polarization-entangled photons using spontaneous parametric down-conversion is briey studied. It is shown that, through type-II non-colinear phase matching, the non-linear BBO (_-BaB2O4) cristal creates highly-entangled photons. Curves of polarization interference are obtained, proportional to sin(_A _ _B), with visibilities greater than 0:95.
We report on a ``postponed compensation'' experiment in which the observed two-photon entangled state interference cannot be pictured in terms of the overlap of the two individual photon wave packets of a parametric down-conversion pair on a beam splitter. In the sense of a quantum eraser, the distinguishability of the different two-photon Feynman amplitudes leading to a coincidence detection is removed by delaying the compensation until after the output of an unbalanced two-photon interferometer.