Sensing Single Photon in a Cat State

The cat state is shown to `store' a single photon through the superposition of its orthogonal counterpart with itself, and an excited oscillator state. Photon addition leads to a \(\pi \) phase shift at origin in the observed phase space interference of the Wigner function, which also displays...

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Bibliographic Details
Published in:arXiv.org 2020-10
Main Authors: Arman, Tyagi, Gargi, Panigrahi, Prasanta K
Format: Article
Language:English
Subjects:
Maxima
Orthogonality
Photons
Online Access:Get full text
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Summary:The cat state is shown to `store' a single photon through the superposition of its orthogonal counterpart with itself, and an excited oscillator state. Photon addition leads to a \(\pi \) phase shift at origin in the observed phase space interference of the Wigner function, which also displays negativity, controlled by the average photon number (\(|\alpha|^2\)) of coherent states comprising the cat state. The maxima and minima of the sub-Planck tiles in the phase space of the kitten state are interchanged after photon addition, leading to their orthogonality. Interestingly, photon addition to Yurke-Stoler state characterized by Poissonian statistics leads to a sub-Poissonian distribution.
ISSN:2331-8422
DOI:10.48550/arxiv.2011.00990