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Extremal states for photon number and quadratures as gauges for nonclassicality

MPS-Authors
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Leuchs,  G.
Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;

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Sanchez-Soto,  L. L.
Guests, Max Planck Institute for the Science of Light, Max Planck Society;

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Citation

Hradil, Z., Rehacek, J., de la Hoz, P., Leuchs, G., & Sanchez-Soto, L. L. (2015). Extremal states for photon number and quadratures as gauges for nonclassicality. PHYSICAL REVIEW A, 91(4): 042128. doi:10.1103/PhysRevA.91.042128.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-63D4-F
Abstract
Rotated quadratures carry the phase-dependent information of the electromagnetic field, so they are somehow conjugate to the photon number. We analyze this noncanonical pair, finding an exact uncertainty relation, as well as a couple of weaker inequalities obtained by relaxing some restrictions of the problem. We also find the intelligent states saturating that relation and complete their characterization by considering extra constraints on the second-order moments of the variables involved. Using these moments, we construct performance measures tailored to diagnose photon-added and Schrodinger-cat-like states, among others.