The Sagnac effect for spin-$1/2$ particles through local Wigner rotations

• URL: http://arxiv.org/abs/2107.01444v3
• Date: Thu, 20 Jan 2022 11:38:06 GMT
• Title: The Sagnac effect for spin-$1/2$ particles through local Wigner rotations
• Abstract summary: We study the Sagnac effect for spin-$1/2$ particles through local Wigner rotations according to the framework developed by [H. Terashima and M. Ueda, Phys. Rev. A 69, 032113 (2004) Since the spin of the particle plays the role of a quantum clock', as the quanton moves in a superposed path it gets entangled with the momentum (or the path) This will cause the interferometric visibility to drop, since there is a difference in proper time elapsed along the two trajectories, which is known as the Sagnac time delay.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this article, we study the Sagnac effect for spin-$1/2$ particles through local Wigner rotations according to the framework developed by [H. Terashima and M. Ueda, Phys. Rev. A 69, 032113 (2004)]. Since the spin of the particle plays the role of a quantum `clock', as the quanton moves in a superposed path it gets entangled with the momentum (or the path), and this will cause the interferometric visibility to drop, since there is a difference in proper time elapsed along the two trajectories, which is known as the Sagnac time delay.

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