Equivalence between SWH phase operator and Ban's phase operator revealed by virtue of η representation

✍ Scribed by Hong-yi Fan; Hui Zou

• Book ID: 104337330
• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 55 KB
• Volume: 255
• Category: Article
• ISSN: 0375-9601
• DOI: 10.1016/s0375-9601(99)00154-1

✦ Synopsis

With the aid of h representation see Eq. 8a , which is the common eigenvector of a q a and a q a , we ˆˆˆŽ . Ž .

demonstrate that the nonlinear phase operator proposed by Hradil for the Sharpiro-Wagner phase measurement

scheme is actually equivalent to Ban's phase operator based on his relative number states. In other words, we reveal that Ban's phase operator is identical to the SWH phase operator, though they appear in completely different forms. Remarkably, it is shown that the action of the nonlinear SWH phase operator on a two-mode twin-photon state can make up the relative number state.