Extremal states for photon number and quadratures as gauges for nonclassicality

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 t...

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Bibliographic Details
Authors: Hradil, Z., Řeháček, J., Hoz Iglesias, Pablo de la, Leuchs, Gerd, Sánchez Soto, Luis Lorenzo
Format: article
Publication Date:2015
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/24033
Online Access:https://hdl.handle.net/20.500.14352/24033
Access Level:Open access
Keyword:535
Phase uncertainty
Eigenstate fields
Coherent states
Quantum
Generation
Operators
Light
Óptica (Física)
2209.19 Óptica Física
Description
Summary: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.