Nonclassicality in phase-number uncertainty relations

We show that there are nonclassical states with lesser joint fluctuations of phase and number than any classical state. This is rather paradoxical since one would expect classical coherent states to be always of minimum uncertainty. The same result is obtained when we replace phase by a phase-depend...

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Detalles Bibliográficos
Autores: Matía Hernando, Paloma, Luis Aina, Alfredo
Tipo de recurso: artículo
Fecha de publicación:2011
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/44590
Acceso en línea:https://hdl.handle.net/20.500.14352/44590
Access Level:acceso abierto
Palabra clave:535
Analytic representations
Wigner function
Quantum-mechanics
Unit disc
States
Oscillator
Fields
Óptica (Física)
2209.19 Óptica Física
Descripción
Sumario:We show that there are nonclassical states with lesser joint fluctuations of phase and number than any classical state. This is rather paradoxical since one would expect classical coherent states to be always of minimum uncertainty. The same result is obtained when we replace phase by a phase-dependent field quadrature. Number and phase uncertainties are assessed using variance and Holevo relation.