Quantum dynamics of a plasmonic metamolecule with a time-dependent driving

TL;DR

This paper investigates the quantum dynamics of a plasmonic metamolecule under time-dependent driving, revealing nonlinear behaviors at strong coupling through simulations of energy, coherence, and population dynamics.

Contribution

It introduces a simulation approach combining Heisenberg equations and Wigner phase space to analyze a driven quantum dot-metal nanoparticle system with weak dot-resonator coupling.

Findings

Nonlinear behavior observed at strong driving fields.

Dynamics depend on coupling strength and driving conditions.

Method enables detailed analysis of quantum metamolecule responses.

Abstract

We simulate the dynamics of a quantum dot coupled to the single resonating mode of a metal nano-particle. Systems like this are known as metamolecules. In this study, we consider a time-dependent driving field acting onto the metamolecule. We use the Heisenberg equations of motion for the entire system, while representing the resonating mode in Wigner phase space. A time-dependent basis is adopted for the quantum dot. We integrate the dynamics of the metamolecule for a range of coupling strengths between the quantum dot and the driving field, while restricting the coupling between the quantum dot and the resonant mode to weak values. By monitoring the average of the time variation of the energy of the metamolecule model, as well as the coherence and the population difference of the quantum dot, we observe distinct non-linear behavior in the case of strong coupling to the driving field.