Bell-inequality in path-entangled single photon and purity of single photon state

• URL: http://arxiv.org/abs/2112.05039v3
• Date: Wed, 8 Feb 2023 13:00:33 GMT
• Title: Bell-inequality in path-entangled single photon and purity of single photon state
• Authors: K. Muhammed Shafi, R. S. Gayatri, A. Padhye, C. M. Chandrashekar
• Abstract summary: We present a simple scheme to perform Bell's test and show the violation of CHSH inequality in a path-entangled single photon state. We demonstrate this experimentally by generating and controlling path-entangled state using both, heralded and un-heralded single photons.
• Score: 1.5924410290166868
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Different degrees of freedom of single photons have been entangled and are used as a resource for various quantum technology applications. We present a simple scheme to perform Bell's test and show the violation of CHSH inequality in a path-entangled single photon state using interferometric and its equivalent non-interferometric approach in beam splitter setting. We demonstrate this experimentally by generating and controlling path-entangled state using both, heralded and un-heralded single photons from spontaneous parametric down-conversion. The experimental results we present show the transition to violation of CHSH inequality when the purity of single photons state visibility increase above 70\% , $\mathcal{P} > 0.7$. Our procedure using single beam splitter and two detector module for un-heralded single photon source allows a simple way to test for purity of any single photon source and to study quantum correlations on systems driven by dynamics where single particle entanglement with position space is prominent.

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