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한국광학회지

Generation of Bell states in a Hong-Ou-Mandel interferometer

Osung Kwon, Heonoh Kim, Gu-Dong Park, Tae-Soo Kim

Published Feb 25, 2007• 0 citations
Publisher

Abstract

제 1형의 매개하향변환에서 발생하는 광자쌍과 Hong-Ou-Mandel 간섭계를 이용하여 편광-얽힘 상태의 광자쌍을 선택적으로 발생시키고, 반파장판과 4분파장판을 조합하여 4개의 Bell 상태 $|{\Psi}^{\pm}>,|{\Phi}^{\pm}>$ 를 구현하였다. 동시계수 측정에 의한 각 상태의 평균 선명도는 77%이다. Bell states have been investigated in a Hong-Ou-Mandel interferometer using photon pairs from a type-1 SPDC. The four kinds of the Bell states, $|{\Psi}^+>,|{\Psi}^->,|{\Phi}^+>,|{\Phi}^->$ are created by placing 2 HWPs, 2 QWPs at outputs of the interferometer. They show an average visibility of 77% in the coincidence measurement.

DOI
10.3807/hkh.2007.18.1.084

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제 1형의 매개하향변환에서 발생하는 광자쌍과 Hong-Ou-Mandel 간섭계를 이용하여 편광-얽힘 상태의 광자쌍을 선택적으로 발생시키고, 반파장판과 4분파장판을 조합하여 4개의 Bell 상태 ∣Ψ±>,∣Φ±>|{\Psi}^{\pm}>,|{\Phi}^{\pm}>∣Ψ±>,∣Φ±> 를 구현하였다. 동시계수 측정에 의한 각 상태의 평균 선명도는 77%이다. Bell states have been investigated in a Hong-Ou-Mandel interferometer using photon pairs from a type-1 SPDC. The four kinds of the Bell states, ∣Ψ+>,∣Ψ−>,∣Φ+>,∣Φ−>|{\Psi}^+>,|{\Psi}^->,|{\Phi}^+>,|{\Phi}^->∣Ψ+>,∣Ψ−>,∣Φ+>,∣Φ−> are created by placing 2 HWPs, 2 QWPs at outputs of the interferometer. They show an average visibility of 77% in the coincidence measurement.
매개하향변환과정에서 발생한 광자쌍과 Hong-Ou-Mandel 간섭계를 이용한 4차 간섭실험에서 비고전적인 간섭효과를 관측하였다. 편광방향이 서로 수직인 두 광의 4차 간섭에서 간섭무늬의 선명도가 고전적인 한계인 50%를 넘는 최대 85%의 간섭무늬를 관측하였다. 또한 두 빔의 세기 비율이 증가할수록 간섭무늬의 선명도가 감소하는 고전적인 간섭현상과 달리 두 광의 세기 비율이 1:10인 경우에도 83%의 선명도를 갖는 간섭효과를 측정하였다. We have observed a nonclassical effect in a fourth-order interference experiment with the photon pairs produced by parametric down-conversion and the Hong-Ou-Handel interferometer. For interfering classical fields with orthogonal polarizations, the visibility can be no larger than 50%, and it depends on the ratio of the two beam intensities. It is found that not only is our observed visibility of 85％ well above 50％, but it is also independent of the two beam intensities in coincidence measurements made in a two-photon polarization correlation experiment.
펨토초 펄스형 자발적 매개하향변환에서 생성된 1.5 μm{\mu}mμm 통신파장대역 광자쌍의 진동수 얽힘상태를 구현하고, 광섬유 기반 Hong-Ou-Mandel 간섭계를 이용하여 양자간섭 실험을 수행하였다. 각진동수 ω1{\omega}_1ω1​ 과 ω2{\omega}_2ω2​ 에 대응하는 두 광자의 파장은 저밀도 파장분할다중화(coarse wavelength division multiplexing, CWDM) 필터를 이용하여 선택하였고, 간섭계에서 경로차에 따른 두 검출기의 동시계수 측정에서 높은 선명도를 갖는 공간적인 맥놀이 형태의 간섭무늬를 관측하였다. We performed experiments on Hong-Ou-Mandel type two-photon interference with frequency entangled photon pairs at 1.5 μm{\mu}mμm telecommunication band generated through femtosecond pulsed spontaneous parametric down-conversion. Two different angular frequencies ω1{\omega}_1ω1​ and ω2{\omega}_2ω2​ were selected using CWDM(coarse wavelength division multiplexing) filters at the output ports of the interferometer. The coincidence counting rates were measured with varying path-length difference between the two interferometer arms to observe the two-photon interference patterns of spatial beating. The obtained visibilities in the net coincidence were close to the theoretical limit of 100%.
매개하향변환과정에서 발생한 광자쌍과 Hong-Ou-Handel 간섭계를 이용한 4차 간섭실험에서 두 광자가 빔분할기에 동시에 입사할 때 빔분할기의 한 쪽 출구로만 두 광자가 쌍을 이루어 빠져나가는 두-광자의 공간적인 뭉침 효과를 관측하였다. 또한 검출기의 단일광자 시간 분해능보다 짧은 시간에 두 광자가 쌍으로 입사할 때 하나의 검출기에 의한 단일계수와 비교하였다. We present experimental observations of two-photon spatial bunching effect in a two-photon interference experiment by using the photon pairs produced by parametric down-conversion and the Hong-Ou-Mandel interferometer. We show that this pairing behavior is observed by coincidence detection, but gives a negligible effect for a single count.
Entanglement swapping enables the distribution of quantum states over long distances. In this protocol, a Bell state measurement projects photons, which were created in separate entangled photon sources, into an entangled state when their corresponding pairs interfere at a beamsplitter. This process is optimally realized when the photons are indistinguishable in all degrees of freedom, resulting in Hong-Ou-Mandel (HOM) interference. Since its initial proposal by [1], several experimental realizations have used pulsed, synchronized pumps, as in [2] to achieve temporal indistiguishability. In the case of continuous wave (CW) pumping, the sources are not synchronized, requiring post-selection of the coincidence events after detection. This requires detectors with a temporal resolution greater than the coherence time of the photons. Previous experiments have successfully observed HOM interference using periodically poled Lithium Niobate (ppLN) waveguides and superconducting nanowire single-photon detectors (SNSPDs) [3], also with hybrid sources to improve coincidence rates and HOM visibility [4], [5].