Eigenstates of the phase operator à la Dirac for a two-mode field

Masashi Ban

Wang Qin-mou

Two independent phase operators were denned and corresponding eigenstates in the supersymmetric harmonic oscillator's two-mode phase space were obtained.

Hong-Yi Fan, Min Xiao

The quantum phase description of Noh, Fougères and Mandel (NFM) leads to a two-mode theory of phase in the strong local oscillator limit. We show that the explicit form of the eigenstates of the sine and the cosine phase operators in two-mode Fock space can be constructed. This brings great convenience to the NFM quantum phase approach.

Hong-Yi Fan, Min Xiao

Christopher C. Gerry, Adil Benmoussa, Kimberley M. Bruno

We study the eigenstates of the square of the phase operator for a single-mode field, and show that they are given as superpositions of macroscopically distinguishable phase states, which we call Schrödinger phase cats, the phase states being eigenstates of the phase operator. Those solutions that are also eigenstates of the parity operator with even parity are shown to be very similar to the squeezed vacuum states over a range of relevant parameters. Thus, it is possible to consider some squeezed vacuum states as approximate Schrödinger phase-cat states. We discuss the connections to the phase states of the SU (1, 1) phase operators for various realizations and representations.

Jens Bolte, Stefan Keppeler