Title: Non-Hermitian approach for quantum plasmonics

Abstract

Herein, we examine the limits of applicability of a simple non-Hermitian model for exciton/plasmon interactions in the presence of dissipation and dephasing. The model can be used as an alternative to the more complete Lindblad density matrix approach and is computationally and conceptually simpler. We find that optical spectra in the linear regime can be adequately described by this approach. The model can fail, however, under continuous optical driving in some circumstances. In the case of two quantum dots or excitons interacting with a plasmon, the model can also describe coherences and entanglement qualitatively when both dissipation and dephasing are present and quantitatively in the limit with no dephasing. The approach, within a single excitation manifold, is also applied to assess the role of disorder for 50 quantum dots interacting with a plasmon, where we find that, on average, large enough disorder can help stabilize the ensemble average of the open quantum system toward a dark quasi-steady-state much faster than without disorder. Furthermore, while such single excitation manifold calculations in this size limit can readily be done with either the non-Hermitian or Lindblad forms, as one goes to larger Hilbert space sizes, the computational and storage advantages of the non-Hermitianmore » approach can become more useful. Published under license by AIP Publishing.« less

Authors:

Cortes, Cristian L.  ^[1];

• Search DOE PAGES for author "Cortes, Cristian L."
• Search DOE PAGES for ORCID "0000-0002-1163-2981"

Otten, Matthew  ^[1];

• Search DOE PAGES for author "Otten, Matthew"
• Search DOE PAGES for ORCID "0000-0002-6522-5820"

Gray, Stephen K.  ^[1]

• Search DOE PAGES for author "Gray, Stephen K."
• Search DOE PAGES for ORCID "0000-0002-5188-354X"

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+ Show Author Affiliations

1. Argonne National Lab. (ANL), Lemont, IL (United States). Center for Nanoscale Materials

Publication Date:

Fri Feb 28 00:00:00 EST 2020

Research Org.:

Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Org.:

USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:

1632336

Alternate Identifier(s):

OSTI ID: 1601690

Grant/Contract Number:  

AC02-06CH11357

Resource Type:

Accepted Manuscript

Journal Name:

Journal of Chemical Physics

Additional Journal Information:

Journal Volume: 152; Journal Issue: 8; Journal ID: ISSN 0021-9606

Publisher:

American Institute of Physics (AIP)

Country of Publication:

United States

Language:

English

Subject:

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Quantum dots; absorption spectroscopy; density-matrix; plasmonics; stochastic processes; optical properties; excitons; laster theory; nanoparticles; Schrodinger equations