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Polaritonic quantization in nonlocal polar materials

Polaritonic quantization in nonlocal polar materials
Polaritonic quantization in nonlocal polar materials
In the Reststrahlen region, between the transverse and longitudinal phonon frequencies, polar dielectric materials respond metallically to light, and the resulting strong light–matter interactions can lead to the formation of hybrid quasiparticles termed surface phonon polaritons. Recent works have demonstrated that when an optical system contains nanoscale polar elements, these excitations can acquire a longitudinal field component as a result of the material dispersion of the lattice, leading to the formation of secondary quasiparticles termed longitudinal-transverse polaritons. In this work, we build on previous macroscopic electromagnetic theories, developing a full second-quantized theory of longitudinal-transverse polaritons. Beginning from the Hamiltonian of the light–matter system, we treat distortion to the lattice, introducing an elastic free energy. We then diagonalize the Hamiltonian, demonstrating that the equations of motion for the polariton are equivalent to those of macroscopic electromagnetism and quantize the nonlocal operators. Finally, we demonstrate how to reconstruct the electromagnetic fields in terms of the polariton states and explore polariton induced enhancements of the Purcell factor. These results demonstrate how nonlocality can narrow, enhance, and spectrally tune near-field emission with applications in mid-infrared sensing.
Polaritons, Surface Phonon Polariton, Second Quantisation, Purcell effect, Quantum
0021-9606
24111
Gubbin, Christopher
09b75073-7a9a-4443-9a84-1458ec2535e9
De Liberato, Simone
5942e45f-3115-4027-8653-a82667ed8473
Gubbin, Christopher
09b75073-7a9a-4443-9a84-1458ec2535e9
De Liberato, Simone
5942e45f-3115-4027-8653-a82667ed8473

Gubbin, Christopher and De Liberato, Simone (2022) Polaritonic quantization in nonlocal polar materials. The Journal of Chemical Physics, 156 (2), 24111, [024111]. (doi:10.1063/5.0076234).

Record type: Article

Abstract

In the Reststrahlen region, between the transverse and longitudinal phonon frequencies, polar dielectric materials respond metallically to light, and the resulting strong light–matter interactions can lead to the formation of hybrid quasiparticles termed surface phonon polaritons. Recent works have demonstrated that when an optical system contains nanoscale polar elements, these excitations can acquire a longitudinal field component as a result of the material dispersion of the lattice, leading to the formation of secondary quasiparticles termed longitudinal-transverse polaritons. In this work, we build on previous macroscopic electromagnetic theories, developing a full second-quantized theory of longitudinal-transverse polaritons. Beginning from the Hamiltonian of the light–matter system, we treat distortion to the lattice, introducing an elastic free energy. We then diagonalize the Hamiltonian, demonstrating that the equations of motion for the polariton are equivalent to those of macroscopic electromagnetism and quantize the nonlocal operators. Finally, we demonstrate how to reconstruct the electromagnetic fields in terms of the polariton states and explore polariton induced enhancements of the Purcell factor. These results demonstrate how nonlocality can narrow, enhance, and spectrally tune near-field emission with applications in mid-infrared sensing.

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Nonlocal_Quantisation_in_Polar_Lattices (1) - Accepted Manuscript
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Published date: 13 January 2022
Additional Information: Funding Information: S.D.L. was supported by a Royal Society Research Fellowship and the Philip Leverhulme Prize. The authors acknowledge support from the Royal Society under Grant No. RGF∖EA∖181001 and the Leverhulme Trust under Grant No. RPG-2019-174. Publisher Copyright: © 2022 Author(s).
Keywords: Polaritons, Surface Phonon Polariton, Second Quantisation, Purcell effect, Quantum

Identifiers

Local EPrints ID: 454187
URI: http://eprints.soton.ac.uk/id/eprint/454187
ISSN: 0021-9606
PURE UUID: be017cb9-4b99-4823-835f-8167df657f18
ORCID for Christopher Gubbin: ORCID iD orcid.org/0000-0003-3988-028X
ORCID for Simone De Liberato: ORCID iD orcid.org/0000-0002-4851-2633

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Date deposited: 01 Feb 2022 18:08
Last modified: 17 Mar 2024 03:31

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Author: Christopher Gubbin ORCID iD

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