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Non-Hermitian approach for quantum plasmonics.

Cristian L Cortes¹, Matthew Otten¹, Stephen K Gray¹

¹Center for Nanoscale Materials, Argonne National Laboratory, Lemont, Illinois 60439, USA.

The Journal of Chemical Physics

|March 2, 2020

Summary

This study explores a simplified non-Hermitian model for exciton/plasmon interactions, finding it effective for optical spectra and quantum phenomena like entanglement, especially with disorder in quantum dot systems.

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Area of Science:

Quantum optics
Condensed matter physics
Theoretical chemistry

Background:

Exciton-plasmon interactions are crucial in nanophotonics and quantum information.
Accurate modeling of these systems, including dissipation and dephasing, is computationally challenging.
The Lindblad master equation is a standard but complex approach.

Purpose of the Study:

To assess the applicability and limitations of a simplified non-Hermitian model for exciton-plasmon systems.
To compare its performance against the more rigorous Lindblad approach.
To investigate the role of disorder in large quantum dot-plasmon ensembles.

Main Methods:

Development and application of a non-Hermitian Hamiltonian model.
Analysis of optical spectra in the linear regime.
Investigation of coherences and entanglement in two-quantum dot systems.
Simulation of disordered quantum dot ensembles interacting with a plasmon.

Main Results:

The non-Hermitian model accurately describes linear optical spectra.
It qualitatively captures coherences and entanglement, quantitatively in specific limits.
Large disorder in quantum dot ensembles accelerates stabilization towards a dark quasi-steady-state.
The non-Hermitian approach offers computational advantages for larger systems.

Conclusions:

The non-Hermitian model serves as a computationally simpler alternative to Lindblad dynamics for certain exciton-plasmon interactions.
Its validity extends to describing quantum phenomena like entanglement and the effects of disorder.
The model's computational efficiency becomes significant for larger Hilbert spaces.