Phase operator formalism in thermo field dynamics

Masashi Ban

Physica A: Statistical Mechanics and its Applications, 1994, vol. 212, issue 3, 327-356

Abstract: 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 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.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:212:y:1994:i:3:p:327-356

DOI: 10.1016/0378-4371(94)90337-9

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