Chinese Physics Letters
A Hermitian Opetator Conjugate to Two-Mode Number-Difference Operator
Hong-Yi Fan, Yihua Wang
Abstract
For the Shapiro-Wagner-Hradil phase detection description the canonical commutation relation between phase angle ψ and two-mode number-difference operator D = a † a - b † b is constructed. Departing from [ ψ , D ] = - i , the phase angle Hermitian operator is derived in the newly obtained representation ⟨ ξ |, where| ξ ⟩ is the common eigenket of a + b † and b + a † .