Hermitian Operators Conjugate to Two-Mode Number-Difference Operator Studied in Entangled State Representation

LU Dao-ming

Hong-Yi Fan, Zhihu Sun

Ye‐Jun Xu, Hong-Yi Fan, Qiuyu Liu

Xuefen Xu

In similar to the derivation of phase angle operator conjugate to the number operator by Arroyo Carrasco–Moya Cessay we deduce the Hermitian phase operators that are conjugate to the two-mode number-difference operator and the three-mode number combination operator. It is shown that these operators are on the same footing in the entangled state representation as the one of Turski in the coherent state representation.

Li, Heng-Mei, Yuan +1 more

Hong-Yi Fan, Yihua Wang

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 † .