Minimum uncertainty SU(1,1) coherent states for number difference - Two-mode phase squeezing

摘要

For the two-mode photon number-difference operator D = a(dagger) a-b(dagger)b and the Noh, Fougers and Mandel (NFM) operational phase operator R-dagger = root a(dagger)+b/a+b(dagger) introduce the concept of number-difference-phase squeezing. We then find a new minimum-uncertainty state for number-difference-phase squeezing, which turns out to be a special combination of generalized SU(1,1) coherent state. As a by-product, a new orthonormal and complete representation in two-mode Fock space made up of R-dagger nm, m] is found. [References: 19]