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Southall, J, Hodgson, D, Purdy, R et al. (1 more author) (2022) Comparing Hermitian and Non-Hermitian Quantum Electrodynamics. Symmetry, 14 (9). 1816. ISSN 2073-8994
Abstract
In recent years, non-Hermitian quantum physics has gained a great deal of popularity in the quantum optics and condensed matter communities in order to model quantum systems with varying symmetries. In this paper, we identify a non-standard inner product that implies bosonic commutator relations for local electric and magnetic field observables and leads to a natural local biorthogonal description of the quantised electromagnetic field. When comparing this description with an alternative local Hermitian description, in which the states of local photonic particles, i.e., of so-called bosons localised in position (blips), are orthogonal under the conventional Hermitian inner product, we find that there is an equivalence between the two approaches. Careful consideration needs to be given to the physical interpretation of the different descriptions. Whether a Hermitian or a non-Hermitian approach is more suitable depends on the circumstances that we want to model.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2022 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
Keywords: | quantum electrodynamics; quantum optics; non-Hermitian quantum physics |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Physics and Astronomy (Leeds) > Theoretical Physics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 20 Jan 2023 16:46 |
Last Modified: | 22 Jan 2025 14:05 |
Status: | Published |
Publisher: | MDPI |
Identification Number: | 10.3390/sym14091816 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:194531 |
Available Versions of this Item
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Comparing Hermitian and Non-Hermitian Quantum Electrodynamics. (deposited 22 Jan 2025 14:04)
- Comparing Hermitian and Non-Hermitian Quantum Electrodynamics. (deposited 20 Jan 2023 16:46) [Currently Displayed]