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Polariton spectrum of the Dicke-Ising model

Polariton spectrum of the Dicke-Ising model
Polariton spectrum of the Dicke-Ising model
The Dicke-Ising model describes cavity quantum electrodynamics setups in which dipoles couple not only with the photonic cavity field but also to each other through dipole-dipole interaction. In this work we diagonalise such a model in terms of bosonic polaritonic operators for arbitrarily large values of the light-matter coupling and for values of the dipole-dipole interaction until the onset of the ferromagnetic Ising phase transition.
In order to accomplish this task we exploit higher order terms of the Holstein-Primakoff transformation, developing a general method which allows to solve the normal phase of the Ising model in term of bosonic excitations for large values of the dipole-dipole interaction. Our results shed light on the interplay between the dipole-dipole and the light-matter coupling strengths, and their effect on the virtual excitations which populate the ground-state when the interactions become comparable with the bare transition frequency.
1050-2947
1-14
Cortese, Erika
1dd08835-71b4-4d4e-89ef-664f189718a2
Garziano, Luigi
36552a5e-6c0a-4e55-b610-2f9cbf0cbd50
De Liberato, Simone
5942e45f-3115-4027-8653-a82667ed8473
Cortese, Erika
1dd08835-71b4-4d4e-89ef-664f189718a2
Garziano, Luigi
36552a5e-6c0a-4e55-b610-2f9cbf0cbd50
De Liberato, Simone
5942e45f-3115-4027-8653-a82667ed8473

Cortese, Erika, Garziano, Luigi and De Liberato, Simone (2017) Polariton spectrum of the Dicke-Ising model. Physical Review A, 1-14. (doi:10.1103/PhysRevA.96.053861).

Record type: Article

Abstract

The Dicke-Ising model describes cavity quantum electrodynamics setups in which dipoles couple not only with the photonic cavity field but also to each other through dipole-dipole interaction. In this work we diagonalise such a model in terms of bosonic polaritonic operators for arbitrarily large values of the light-matter coupling and for values of the dipole-dipole interaction until the onset of the ferromagnetic Ising phase transition.
In order to accomplish this task we exploit higher order terms of the Holstein-Primakoff transformation, developing a general method which allows to solve the normal phase of the Ising model in term of bosonic excitations for large values of the dipole-dipole interaction. Our results shed light on the interplay between the dipole-dipole and the light-matter coupling strengths, and their effect on the virtual excitations which populate the ground-state when the interactions become comparable with the bare transition frequency.

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Polariton spectrum of the Dicke-Ising model - Accepted Manuscript
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Accepted/In Press date: 7 November 2017
e-pub ahead of print date: 28 November 2017

Identifiers

Local EPrints ID: 415486
URI: http://eprints.soton.ac.uk/id/eprint/415486
ISSN: 1050-2947
PURE UUID: 5dae1464-b687-4c5c-b647-3f168d630d98
ORCID for Simone De Liberato: ORCID iD orcid.org/0000-0002-4851-2633

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Date deposited: 13 Nov 2017 17:30
Last modified: 07 Oct 2020 02:03

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Contributors

Author: Erika Cortese
Author: Luigi Garziano

University divisions

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