A theory of the relative phase and number difference of two quantized harmonic oscillators
2002 (English)In: Physica Scripta, ISSN 0031-8949, E-ISSN 1402-4896, Vol. T102, 133-146 p.Article in journal (Refereed) Published
We present a comprehensive and self-consistent theory of relative-phase measurements and the associated Hermitian relative-phase operator of two harmonic oscillators. We find that since Nature does not favor any particular initial condition of the two oscillators, the relative-phase operator is not unique. We show that the relative-phase eigenstates; are maximally entangled. Therefore. most relative-phase operators lack a classical correspondence, even in the high-excitation limit. Furthermore, we find that the relative phase and the excitation number difference are noncommuting, noncanonical observables and we derive a commutation relation.
Place, publisher, year, edition, pages
2002. Vol. T102, 133-146 p.
bohrs correspondence principle, minimum-uncertainty states, 2 quantum-fields, operational approach, hilbert-space, optical-phase, operator, breakdown, distributions, superposition
IdentifiersURN: urn:nbn:se:kth:diva-22109ISI: 000179699800024OAI: oai:DiVA.org:kth-22109DiVA: diva2:340807
QC 201005252010-08-102010-08-10Bibliographically approved