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한국광학회지

Single Photon Interference Experiments in a Sagnac-type Mach-Zehnder Interferometer

Ja-Yoon Um, Yong Soo Kim, Heonoh Kim

Published Apr 25, 2012• 3 citations
Publisher

Abstract

Sagnac 형태로 변형된 Mach-Zehnder 간섭계(SMZI)는 모든 광경로가 동일한 광부품을 서로 공유하기 때문에 위상 흔들림을 최소화할 수 있는 안정된 간섭계이다. 본 연구에서는 단일광자 수준까지 감쇄시킨 레이저 광과 제 2형의 매개하향변환에서 발생한 편광 상관관계가 있는 광자로부터 준비된 단일광자를 이용한 간섭실험에서 매우 안정된 간섭무늬를 관측하였다. SMZI의 위상은 약 ${\pm}0.18$ rad으로 안정적인 반면에 보통의 MZI는 ${\pm}1.02$ rad의 위상 요동을 나타내었다. A Sagnac-type Mach-Zehnder interferometer(SMZI) is a very stable instrument with respect to phase drift because all optical paths can share common optical components. We have observed very stable interference fringes in single photon interference experiments with an extremely attenuated laser beam, and with heralded single photons prepared from polarization correlated photon pairs in type-II spontaneous parametric down-conversion. The phase stability is measured to be about ${\pm}0.18$ rad for the SMZI, in contrast, conventional MZI showed the phase fluctuation of around ${\pm}1.02$ rad.

DOI
10.3807/kjop.2012.23.2.071

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Sagnac 형태로 변형된 Mach-Zehnder 간섭계(SMZI)는 모든 광경로가 동일한 광부품을 서로 공유하기 때문에 위상 흔들림을 최소화할 수 있는 안정된 간섭계이다. 본 연구에서는 단일광자 수준까지 감쇄시킨 레이저 광과 제 2형의 매개하향변환에서 발생한 편광 상관관계가 있는 광자로부터 준비된 단일광자를 이용한 간섭실험에서 매우 안정된 간섭무늬를 관측하였다. SMZI의 위상은 약 ±0.18{\pm}0.18±0.18 rad으로 안정적인 반면에 보통의 MZI는 ±1.02{\pm}1.02±1.02 rad의 위상 요동을 나타내었다. A Sagnac-type Mach-Zehnder interferometer(SMZI) is a very stable instrument with respect to phase drift because all optical paths can share common optical components. We have observed very stable interference fringes in single photon interference experiments with an extremely attenuated laser beam, and with heralded single photons prepared from polarization correlated photon pairs in type-II spontaneous parametric down-conversion. The phase stability is measured to be about ±0.18{\pm}0.18±0.18 rad for the SMZI, in contrast, conventional MZI showed the phase fluctuation of around ±1.02{\pm}1.02±1.02 rad.
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.
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.
매개하향변환과정에서 동시에 발생한 서로 다른 진동수의 광자쌍을 이용한 4차 간섭실험에서 비고전적인 맥놀이 효과를 측정하였다. 각진동수가 각각 ω1\omega1ω1 과 ω2\omega2ω2 인 광자쌍을 빔분할기에서 중첩시키고, 빔분할기의 두 출구에 놓인 두 검출기로 동시계수 할 때, 두 광자가 빔분할기에 도달하는 시간 간격에 따라 cos( ω1\omega1ω1 - ω2\omega2ω2 )의 함수로 동시계수의 변화를 나타내었다. 두 광자의 파장 차이가 41㎚일 때 측정된 맥놀이 진동수 ( ω1\omega1ω1 - ω2\omega2ω2 )/2 π\piπ 는 0.29 ×1014{\times}10^{14}×1014 ㎐이었고, 진동수 차이에 해당하는 두 광자의 시간간격은 34.82fs로 측정되었다. One of the nonclassical effects in two-photon interference experiments, spatial quantum beating, is observed in fourth-order interference with pairs of photons produced by a spontaneous parametric down-conversion process. When photon pairs in different frequencies ω1\omega1ω1 and ω2\omega2ω2 are mixed together, and directed to two detectors, the coincidence counts exhibit a cosine modulation with difference frequency | ω1\omega1ω1 - ω2\omega2ω2 |. The measured coincidence counts turned out to have an interference pattern with periodicity of 10.45 ㎛ in position or 34.82fs in time delay, which corresponds to the period 2 π\piπ /| ω1\omega1ω1 - ω2\omega2ω2 | for the beat frequency of 0.29 ×1014{\times}10^{14}×1014 Hz.
This thesis investigates the phenomena of phase stability in a fiber-optical MZI (Mach-Zehnder Interferometer). The MZI is a key building block of optical systems for use in experiments with both continuous-wave light and with single photons. By splitting incoming light into two beams and allowing it to interfere with itself, an interference pattern is visible at the output, and this phenomena can be used to code information. This is the operating principle in, for example, QKD (Quantum Key Distribution) experiments. This interference requires coherence that is higher than the length difference between the beams that the incoming light is split into. Particularly the phase of the beams must be equal to achieve constructive interference. If one beam is phase-shifted (with respect to the other) due to the light having traversed a longer path, only partially constructive interference is achieved. If the phase shift also varies with time this leads to a system where experiments can no longer reliably be performed. Sources of these fluctuations are thermal, acoustic or mechanical. Fiber-optical interferometers are particularly sensitive to path length fluctuations of the waveguides as the fiber-optic medium contracts and elongates with temperature, and also has a larger surface area for circulating air to mechanically disturb the waveguides than bulk optics interferometers. In this thesis, a solution to environment-induced phase drift is presented by evaluating implementations of feedback algorithms for automatic control. The algorithms PID (Proportional-, Integral-, Derivative controller) and an ICA (IncrementalControl Algorithm) have been investigated and the performance of these controllers has been compared when used with, and without, optical enclosures. The algorithms are implemented in an FPGA (Field-Programmable Gate Array) and the controller actuates an electro-optical phase modulator that can add a phase shift to one of the light beams in the MZI. This thesis shows that significant improvement in the optical stability can be achieved with active control compared to an interferometer without active phase control.
A novel scheme to realize stable single-photon interference and router-control is demonstrated in this paper. Phase difference between clockwise and counter-clockwise single-photons is controlled by time-division phase modulation in an optic fiber Sagnac loop. Due to the annular geometric configuration of the Sagnac loop, clockwise and counter-clockwise single-photons travel the same optical path and have the same slowly-varying phase drifts, which are automatically compensated. Furthermore, clockwise and counter-clockwise single-photons encounter the same polarization mode dispersion, which is also automatically compensated at the exit port of the Sagnac interferometer. Long-distance single-mode optic fiber at 1550 nm is used in our experimental realization. Fringe visibility of single-photon interference higher than 98% and fidelity of single-photon router-control higher than 90% have been obtained in a Sagnac fiber loop of 5 km. We also realized a stable single-photon interference in Sagnac fiber loops as long as 27 and 52 km. The corresponding fringe visibilities were higher than 94% and 84%, respectively.
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