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Quantum Information and Measurement (QIM)

Measurement-dependent erasure of distinguishability for the observation of interference in an unbalanced SU(1,1) interferometer

Nan Huo, Liang Cui, Wen Zhen Zhao, Xueshi Guo, Xiaoying Li, Z. Y. Ou

Published Jan 1, 2021• 0 citations
Publisher

Abstract

We report a method of homodyne detection that can recover otherwise lost interference effect in an unbalanced SU(1,1) interferometer. The indistinguishability due to amplitude measurement and slow detection is responsible for the recovery of interference.
DOI
10.1364/qim.2021.tu2a.2

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It is known that quantum interference can disappear with the mere possibility of distinguishability without actually performing the act. We create such distinguishability in an unbalanced SU(1,1) interferometer and indeed observe no interference in the direct photodetection of the outputs. On the other hand, such distinguishability can be erased with a projective measurement. Here, we report a method of homodyne detection that can also recover interference effect. We find that it is the indistinguishability in amplitude measurement that leads to the recovery of interference, and the quantum nature of homodyne detection and the detector's slow response time both play an essential role. This is different from the quantum eraser schemes mentioned above. It demonstrates that quantum interference occurs in the measurement processes. With no need for path compensation, the unbalanced interferometers studied here should have practical applications in quantum metrology and sensing.
Interference effects are usually observed by intensity measurement. Path indistinguishability by the quantum complementarity principle requires projection of the interfering fields into a common indistinguishable mode before detection. On the other hand, the essence of wave interference is the addition of amplitudes of the interfering fields. Therefore, if amplitudes can be directly measured and added, interference can occur even though the interfering fields are in well-distinguishable modes. Here, we make a comprehensive study in both theory and experiment of a technique by homodyne measurement of field amplitudes to reveal interference. This works for both classical and quantum fields even though there exists distinguishability in the interfering paths of light. This directly challenges the complementarity principle. We present a resolution of this issue from the viewpoint of measurement that emphasizes either particle or wave. This technique is particularly useful for recovering interference in unbalanced interferometers with path imbalance beyond a coherence length of the input field and can be applied to remote sensing to extend the applicable range. Since the amplitude-based interference phenomena studied here are fundamentally different from the traditional intensity-based interference phenomena, our approach leads to a new paradigm to study coherence between optical fields.