Physics – Quantum Physics
Scientific paper
2005-02-03
International Journal of Modern Physics B, Vol. 19, No. 14 (2005) 2287-2310
Physics
Quantum Physics
25 pages. Just very minor editorial cosmetic changes
Scientific paper
10.1142/S0217979205029833
A comparative study is performed on two heterodyne systems of photon detectors expressed in terms of a signal annihilation operator and an image band creation operator called Shapiro-Wagner and Caves' frame, respectively. This approach is based on the introduction of a convenient operator $\hat \psi$ which allows a unified formulation of both cases. For the Shapiro-Wagner scheme, where $[\hat \psi, \hat \psi^{\dag}] =0$, quantum phase and amplitude are exactly defined in the context of relative number state (RNS) representation, while a procedure is devised to handle suitably and in a consistent way Caves' framework, characterized by $[\hat \psi, \hat \psi^{\dag}] \neq 0$, within the approximate simultaneous measurements of noncommuting variables. In such a case RNS phase and amplitude make sense only approximately.
Landolfi Giulio
Ruggeri Giovanna
Soliani Giulio
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