This article is cited in 2 papers

Quantum optics

Uncertainty relations for the photon number and phase of electromagnetic field operators for quantum phase superpositions of coherent states

A. V. Kozlovskii

P. N. Lebedev Physical Institute of the Russian Academy of Sciences, Moscow

Abstract: We examine various uncertainty relations: (electromagnetic-field phase (the so-called “Pegg–Barnett operator”))–(number of photons), (trigonometric functions of the phase)–(number of photons), and (trigonometric functions of the phase)–(field phase). An electromagnetic field in quantum states of phase superpositions of coherent states, which are general superpositions of two coherent states with identical moduli but arbitrary phases, is considered. The rigorous uncertainty relation (Cauchy inequality) and the soft uncertainty relation (Heisenberg inequality) are examined and compared.

Keywords: uncertainty principle, quantum phase fluctuations, Hermitian phase operator, superpositions of coherent states.

Received: 09.07.2019
Revised: 26.11.2019
Accepted: 06.12.2019

DOI: 10.21883/OS.2020.03.49065.235-19

 English version: Optics and Spectroscopy, 2020, 128:3, 355–366

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