Title: Degenerate parametric down-conversion facilitated by exciton-plasmon polariton states in a nonlinear plasmonic cavity

Abstract

Abstract We study the effect of degenerate parametric down-conversion (DPDC) in an ensemble of two-level quantum emitters (QEs) coupled via near-field interactions to a single surface plasmon (SP) mode of a nonlinear plasmonic cavity. For this purpose, we develop a quantum driven-dissipative model capturing non-equilibrium dynamics of the system in which incoherently pumped QEs have transition frequency tuned near the second-harmonic response of the SPs. Considering the strong coupling regime, i.e. the SP-QE interaction rate exceeds system dissipation rates, we find a critical SP-QE coupling attributed to the phase transition between normal and lasing steady states. Examining fluctuations above the system’s steady states, we predict new elementary excitations, namely, the exciton-plasmon polaritons formed by the two-SP quanta and single-exciton states of QEs. The contribution of two-SP quanta results in the linear scaling of the SP-QE interaction rate with the number of QEs, ${\mathit{}}_o$ , as opposed to the $\sqrt{{\mathit{}}_o}$ -scaling known for the Dicke and Tavis–Cummings models. We further examine how SP-QE interaction scaling affects the polariton dispersions and power spectra in the vicinity of the critical coupling. For this purpose, we compare the calculation results assuming a finite ensemble of QEs and the model thermodynamic limit. The calculated power spectra predict an interplay of coherent photon emission by QEs near the second-harmonic frequency and correlated photon-pair emission at the fundamental frequency by the SPs (i.e. the photonic DPDC effect).

Authors:

Piryatinski, Andrei ;

• Search DOE PAGES for author "Piryatinski, Andrei"
• Search DOE PAGES for ORCID "0000-0001-9218-1678"

Sukharev, Maxim

• Search DOE PAGES for author "Sukharev, Maxim"
• Search DOE PAGES for ORCID "0000-0002-1975-8482"

Publication Date:

Fri Feb 10 00:00:00 EST 2023

Research Org.:

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Org.:

USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC); US Air Force Office of Scientific Research (AFOSR)

OSTI Identifier:

1924100

Alternate Identifier(s):

OSTI ID: 1915671; OSTI ID: 1957923

Report Number(s):

LA-UR-22-28221
Journal ID: ISSN 0957-4484

Grant/Contract Number:  

89233218CNA000001; NA0003525; 20 200 407ER; FA9550-22-1-0175

Resource Type:

Published Article

Journal Name:

Nanotechnology

Additional Journal Information:

Journal Name: Nanotechnology Journal Volume: 34 Journal Issue: 17; Journal ID: ISSN 0957-4484

Publisher:

IOP Publishing

Country of Publication:

United Kingdom

Language:

English

Subject:

77 NANOSCIENCE AND NANOTECHNOLOGY; parametric down-conversion; nano-plasmonic cavity; lasing phase transition; cavity polaritons; correlated photons