Nonclassicality in phase by breaking classical bounds on statistics

We derive upper bounds on the statistics of phase and phase difference that are satisfied by all classical states. They are obtained by finding the maximum projection of classical states on phase states. For a single-mode phase, meaningful bounds are obtained conditioned to a fixed mean number of ph...

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Detalles Bibliográficos
Autores: Martín, Daniel, Luis Aina, Alfredo
Tipo de recurso: artículo
Fecha de publicación:2010
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/44610
Acceso en línea:https://hdl.handle.net/20.500.14352/44610
Access Level:acceso abierto
Palabra clave:535
Analytic representations
Quantum optics
Coherent states
Unit disc
Difference
Distance
Light
Field
Spectroscopy
Oscillator
Óptica (Física)
2209.19 Óptica Física
Descripción
Sumario:We derive upper bounds on the statistics of phase and phase difference that are satisfied by all classical states. They are obtained by finding the maximum projection of classical states on phase states. For a single-mode phase, meaningful bounds are obtained conditioned to a fixed mean number of photons. We also derive classical bounds for the projection on phase-coherent states, discussing their relation with phase-state bounds within the context of analytic representations. We find states with nonclassical phase properties disclosed by the violation of these classical bounds. These are quadrature and SU(2) squeezed states and phase-coherent states.