PHASE OPERATOR-FORMALISM IN THERMOFIELD DYNAMICS

被引:4
作者
BAN, M
机构
[1] Advanced Research Laboratory, Hitachi Ltd., Hatoyama, Saitama
来源
PHYSICA A | 1994年 / 212卷 / 3-4期
关键词
D O I
10.1016/0378-4371(94)90337-9
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A phase operator formalism is presented within the framework of thermo field dynamics (TFD). It is shown that a unitary phase operator (or phase factor) can be defined as a canonical conjugate of the generator of phase shift in TFD since the generator has a lower bounded spectrum. The tilde conjugation plays an essential role in defining the unitary phase operator in TFD. The unitary phase operator is expressed in terms of the relative-number states. The properties of the unitary phase operator are investigated in detail. The relations to the Pegg-Barnett phase operator and to the other polar decomposition of the operator which appears in the heterodyne detection are found. Furthermore, by making use of the phase operator method, a quantum phase measurement is considered and the relation to the optimal probability operator measure in the conventional theory is investigated.
引用
收藏
页码:327 / 356
页数:30
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