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A theory of the relative phase and number difference of two quantized harmonic oscillators
KTH, Superseded Departments, Microelectronics and Information Technology, IMIT.ORCID iD: 0000-0002-2082-9583
2002 (English)In: Physica Scripta, ISSN 0031-8949, E-ISSN 1402-4896, Vol. T102, 133-146 p.Article in journal (Refereed) Published
Abstract [en]

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.
Keyword [en]
bohrs correspondence principle, minimum-uncertainty states, 2 quantum-fields, operational approach, hilbert-space, optical-phase, operator, breakdown, distributions, superposition
URN: urn:nbn:se:kth:diva-22109ISI: 000179699800024OAI: diva2:340807
QC 20100525Available from: 2010-08-10 Created: 2010-08-10Bibliographically approved

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Björk, Gunnar
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