COHERENT STATES ON A CIRCLE AND QUANTUM INTERFERENCE

As a generalization of the optical Schrodinger cats, discrete sets of coherent states are considered on a circle in the a plane. It is shown that simple superpositions of Schrodinger cats exhibit amplitude squeezing, similarly to the case of a superposition of several coherent states along a straight line that shows quadrature squeezing. The interference fringes between the coherent states form the annuli of the Fock states in- the Wigner-function picture. It is also shown that a continuous superposition of coherent states on a circle can serve as a basis for the representation of any state.