Preservation of bosonic commutation relation: explicit evaluation of quantum Langevin operator products

Ooi, Chong Heng Raymond and Berman, P.R. (2010) Preservation of bosonic commutation relation: explicit evaluation of quantum Langevin operator products. Physica E: Low-dimensional Systems and Nanostructures, 42 (3). pp. 407-410. ISSN 1386-9477, DOI https://doi.org/10.1016/j.physe.2009.06.018.

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Official URL: https://doi.org/10.1016/j.physe.2009.06.018

Abstract

The Commutation relation for the field creation and annihilation operators is shown to be preserved explicitly if the transient operators products are evaluated from the quantum Langevin equations that contain noise operators with non-vanishing expectation (mean) values. The well-known Einstein relation, which is valid for the vanishing mean value, is inapplicable here. For a two-level atom initially in arbitrary state interacting with quantum vacuum radiation, detailed steps are provided that may be useful for calculations involving transient dynamics using the full quantum formalism, particularly in evaluating products involving the noise operators, the initial (time) field operator and initial atomic operators. The cross products of these operators contribute to the preservation of the commutation relation. (C) 2009 Elsevier B.V. All rights reserved.

Item Type: Article
Funders: UNSPECIFIED
Additional Information: Department of Physics, Faculty of Science Building, University of Malaya, 50603 Kuala Lumpur, MALAYSIA
Uncontrolled Keywords: Quantum noise; Communication relation; Initial condition; Transient dynamics
Subjects: Q Science > QC Physics
Divisions: Faculty of Science > Department of Physics
Depositing User: Miss Malisa Diana
Date Deposited: 08 Jul 2013 07:07
Last Modified: 09 Oct 2019 07:24
URI: http://eprints.um.edu.my/id/eprint/7951

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