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Amplified emission and lasing in a plasmonic nanolaser with many three-level molecules

Yuan Zhang and Klaus Mølmer
Phys. Rev. A 97, 013837 – Published 24 January 2018

Abstract

Steady-state plasmonic lasing is studied theoretically for a system consisting of many dye molecules arranged regularly around a gold nanosphere. A three-level model with realistic molecular dissipation is employed to analyze the performance as a function of the pump field amplitude and number of molecules. Few molecules and moderate pumping produce a single narrow emission peak because the excited molecules transfer energy to a single dipole plasmon mode by amplified spontaneous emission. Under strong pumping, the single peak splits into broader and weaker emission peaks because two molecular excited levels interfere with each other through coherent coupling with the pump field and with the dipole plasmon field. A large number of molecules gives rise to a Poisson-like distribution of plasmon number states with a large mean number characteristic of lasing action. These characteristics of lasing, however, deteriorate under strong pumping because of the molecular interference effect.

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  • Received 20 November 2017

DOI:https://doi.org/10.1103/PhysRevA.97.013837

©2018 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Yuan Zhang* and Klaus Mølmer

  • Department of Physics and Astronomy, Aarhus University, Ny Munkegade 120, DK-8000 Aarhus C, Denmark

  • *yzhang@phys.au.dk
  • moelmer@phys.au.dk

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Issue

Vol. 97, Iss. 1 — January 2018

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Images

  • Figure 1
    Figure 1

    A gold nanosphere (10 nm radius) is surrounded by dye molecules along the equator about 2.5 nm from the sphere surface. The molecules have transition dipole moments along the z axis (black arrows) and couple only with the dipole plasmon z mode (blue arrow). The molecules are assumed identical with three energy levels (Eg, Ee, Ef), and are coupled coherently to an external optical pump field (red dashed arrow) and to the dipole plasmon (blue dotted arrows), and decay by dissipation (black arrows).

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  • Figure 2
    Figure 2

    Steady-state properties of systems with eight molecules for different strengths of the driving field E0 [in panels (a)–(c)] and different decay rates kfe [in panels (d)–(f)]. Panels (a) and (d) give emission spectra (the photon energy is given relative to ωpl). Panels (b) and (e) give plasmon state populations Pμ. Panels (c) and (f) show molecular state populations Pa (blue lines; solid line Pg, dotted line Pe, dashed line Pf) and mean plasmon numbers Apl. All further parameters are specified in Table 1 in Appendix pp1.

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  • Figure 3
    Figure 3

    Steady-state (a) emission spectrum (the photon energy is given relative to ωpl), (b) plasmon number state distribution Pμ, and (c) molecular state population Pa (blue lines: solid line Pg, dotted line Pe, dashed line Pf) as well as mean plasmon number Apl ( red line) for different numbers of molecules. All further parameters are specified in Table 1 in Appendix pp1.

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  • Figure 4
    Figure 4

    Steady-state properties of systems: panel (a) calculated by Eq. (3) shows Pμ for different number of molecules, large diamonds show the exact result for ten molecules; panels (b) and (c) show Apl and panels (d) and (e) show gpl20 vs the decay rate kfe and the strength of the driving field E0; panels (b) and (d) are for systems with 10 molecules; (c) and (e) are for systems with 200 molecules; panel (f) shows Apl and (g) shows gpl20 vs decay rates keg and kfg for systems with 200 molecules (kfe=100 meV and E0=3×108 V/m). Other parameters are according to Table 1 in Appendix pp1.

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