The Quantum Optics of Asymmetric Mirrors With Coherent Light Absorption

Dawson, Benjamin; Furtak-Wells, Nicholas; Mann, Thomas; Jose, Gin; Beige, Almut

doi:10.3389/fphot.2021.700737

Cited by 5 publications

(4 citation statements)

References 52 publications

(120 reference statements)

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“…For the latter, we showed that it is possible to construct a mirror Hamiltonian that reproduces the classical mirror image effect for the local operators a sλ (x). This Hamiltonian was a significant find because, until that point, no locally acting mirror Hamiltonian for the EM field had been derived, and there is much interest in this topic in the literature [29][30][31][32][33]. Thus, there are certain situations in which blips provide a more physically intuitive description for modelling light-matter interactions compared to monochromatic photons.…”

Section: Local Bosonic Excitationsmentioning

confidence: 99%

Comparing Hermitian and Non-Hermitian Quantum Electrodynamics

et al. 2022

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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.

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Section: Local Bosonic Excitationsmentioning

confidence: 99%

Comparing Hermitian and Non-Hermitian Quantum Electrodynamics

et al. 2022

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“…The dynamics of blips approaching the cavity walls can be described, for example, by a locally acting mirror Hamiltonian [42]. Another possibility to obtain blip operators which move along folded worldlines is to take inspiration from the mirror image method of classical electrodynamics [53][54][55] and to map the dynamics of blips onto analogous free space scenarios.…”

Section: B Optical Cavities and The Casimir Effectmentioning

confidence: 99%

An intuitive picture of the Casimir effect

Hodgson

Burgess

Altaie

et al. 2022

Preprint

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The Casimir effect, which predicts the emergence of an attractive force between two parallel, highly reflecting plates in vacuum, plays a vital role in various fields of physics, from quantum field theory and cosmology to nanophotonics and condensed matter physics. Nevertheless, Casimir forces still lack an intuitive explanation and current derivations rely on regularisation procedures to remove infinities. Starting from special relativity and treating space and time coordinates equivalently, this paper overcomes no-go theorems of quantum electrodynamics and obtains a local relativistic quantum description of the electromagnetic field in free space. When extended to cavities, our approach can be used to calculate Casimir forces directly in position space without the introduction of cut-off frequencies.

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“…In order to utilise the bosonic commutation relations in Eqs. (30) and (31), when analysing the dynamics of expectation values we require that the above states be pairwise orthonormal. However, under the standard inner product…”

Section: A Orthogonal Local Field Excitation Statesmentioning

confidence: 99%

“…For the latter, we showed that it is possible to construct a mirror Hamiltonian that reproduces the classical mirror image effect for the local operators a sλ (x). This Hamiltonian was a significant find because, until that point, no locally acting mirror Hamiltonian for the EM field had been derived, and there is much interest in this topic in the literature [27][28][29][30][31]. Thus, there are certain situations in which blips provide a more physically intuitive description for modelling light-matter interactions compared to monochromatic photons.…”

Section: The Connection With Hermitian Descriptions a Local Bosonic E...mentioning

confidence: 99%

Comparing Hermitian and Non-Hermitian Quantum Electrodynamics

Southall¹,

Hodgson²,

Purdy³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

In recent years, non-Hermitian quantum physics has gained a lot in 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.

show abstract

The Quantum Optics of Asymmetric Mirrors With Coherent Light Absorption

Cited by 5 publications

References 52 publications

Comparing Hermitian and Non-Hermitian Quantum Electrodynamics

Comparing Hermitian and Non-Hermitian Quantum Electrodynamics

An intuitive picture of the Casimir effect

Comparing Hermitian and Non-Hermitian Quantum Electrodynamics

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