Unitary and Hermitian phase operators for the electromagnetic field

Details Unitary and Hermitian phase operators for the electromagnetic field Unitary and Hermitian phase operators for the electromagnetic field

Jul 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrva..46..549t&link_type=abstract

Physical Review A, vol. 46, Issue 1, pp. 549-554

Physics

Optics

3

Quantum Optics

Scientific paper

Pegg and Barnett

[Phys. Rev. A 39, 1665 (1989)]

have proposed a formalism for a Hermitian optical phase operator, constructed from the so-called phase states. In this paper we give an alternative derivation. We begin by defining a unitary phase operator eiφ^ from the relationship a^=eiφ^R(N^) (a^ is an annihilation operator for a single-mode boson field), but borrow the idea of a finite- (but arbitrarily large) dimensional space from Pegg and Barnett. Finally, we comment on an experiment to determine quantum phase uncertainty. Our analysis uses the operator eiφ^, which we feel is a more natural choice than φ^. The use of eiφ^ also avoids the multivalued problems associated with φ^.

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