From hybrid polariton to dipolariton using non-Hermitian Hamiltonians to handle particle lifetimes

Aurélia Chenu, Shiue-Yuan Shiau, Ching-Hang Chien, and Monique Combescot
Phys. Rev. B 105, 035301 – Published 3 January 2022

Abstract

We consider photons strongly coupled to the excitonic excitations of a coupled quantum well, in the presence of an electric field. We show how, under a field increase, the hybrid polariton made of a photon coupled to hybrid carriers lying in the two wells transforms into a dipolariton made of a photon coupled to direct and indirect excitons. We also show how the cavity photon lifetime and the coherence time of the carrier wave vectors that we analytically handle through non-hermitian Hamiltonians affect these polaritonic states. While the hybrid polaritons display a spectral singularity where the eigenvalues coalesce, known as an exceptional point, that depends on detuning and lifetimes, we find that the three dipolaritonic states display an anticrossing without exceptional point due to the interaction between photons, direct, and indirect excitons.

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  • Received 28 October 2021
  • Revised 13 December 2021
  • Accepted 15 December 2021

DOI:https://doi.org/10.1103/PhysRevB.105.035301

©2022 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Aurélia Chenu1, Shiue-Yuan Shiau2, Ching-Hang Chien3, and Monique Combescot4

  • 1Department of Physics and Materials Science, University of Luxembourg, 1511 Luxembourg, G.D. Luxembourg
  • 2Physics Division, National Center for Theoretical Sciences, Taipei 10617, Taiwan
  • 3Research Center for Applied Sciences, Academia Sinica, Taipei 115, Taiwan
  • 4Sorbonne Université, CNRS, Institut des NanoSciences de Paris, 75005 Paris, France

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Issue

Vol. 105, Iss. 3 — 15 January 2022

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