Nonclassicality in phase by breaking classical bounds on statistics

Journal Article · Wed Sep 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.033829· OSTI ID:21464471

Martin, Daniel; Luis, Alfredo ^[1]

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1. Departamento de Optica, Facultad de Ciencias Fisicas, Universidad Complutense, E-28040 Madrid (Spain)

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.

• OSTI ID: 21464471
• Journal Information: Physical Review. A, Vol. 82, Issue 3; Other Information: DOI: 10.1103/PhysRevA.82.033829; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ANNIHILATION OPERATORS
EIGENSTATES
EXCITED STATES
PHOTONS
QUADRATURES
QUANTUM STATES
STATISTICS
SU-2 GROUPS
BOSONS
ELEMENTARY PARTICLES
ENERGY LEVELS
LIE GROUPS
MASSLESS PARTICLES
MATHEMATICAL OPERATORS
MATHEMATICS
QUANTUM OPERATORS
SU GROUPS
SYMMETRY GROUPS