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arXiv:1401.5402 · Physical Review A

Tunable negative permeability in a quantum plasmonic metamaterial

K. R. McEnery, Mark Tame, Stefan Alexander Maier, M. S. Kim

Published Jan 21, 2014• 28 citations
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Abstract

We consider the integration of quantum emitters into a negative permeability metamaterial design in order to introduce tunability as well as nonlinear behavior. The unit cell of our metamaterial is a ring of metamolecules, each consisting of a metal nanoparticle and a two-level semiconductor quantum dot (QD). Without the QDs, the ring of the unit cell is known to act as an artificial optical magnetic resonator. By adding the QDs we show that a Fano interference profile is introduced into the magnetic field scattered from the ring. This induced interference is shown to cause an appreciable effect in the collective magnetic resonance of the unit cell. We find that the interference provides a means to tune the response of the negative permeability metamaterial. The exploitation of the QD's inherent nonlinearity is proposed to modulate the metamaterial's magnetic response with a separate control field.

DOI
10.1103/physreva.89.013822

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We consider the integration of quantum emitters into a negative permeability metamaterial design in order to introduce tunability as well as nonlinear behavior. The unit cell of our metamaterial is a ring of metamolecules, each consisting of a metal nanoparticle and a two-level semiconductor quantum dot (QD). Without the QDs, the ring of the unit cell is known to act as an artificial optical magnetic resonator. By adding the QDs we show that a Fano interference profile is introduced into the magnetic field scattered from the ring. This induced interference is shown to cause an appreciable effect in the collective magnetic resonance of the unit cell. We find that the interference provides a means to tune the response of the negative permeability metamaterial. The exploitation of the QD's inherent nonlinearity is proposed to modulate the metamaterial's magnetic response with a separate control field.
Two independent significant developments have challenged our understanding of light-matter interaction, one, involves the artificially structured materials known as metamaterials, and the other, relates to the coherent control of quantum systems via the quantum interference route. We theoretically demonstrate that one can engineer the electromagnetic response of composite metamaterials using coherent quantum interference effects. In particular, we predict that these composite materials can show a variety of effects ranging from dramatic reduction of losses to switchable ultraslow-to-superluminal pulse propagation. We propose parametric control of the metamaterials by active tuning of the capacitance of the structures, which is most efficiently engineered by embedding the metamaterial structures within a coherent atomic/molecular medium. This leads to dramatic frequency dependent features, such as significantly reduced dissipation accompanied by enhanced filling fraction. For a Split-ring resonator medium with magnetic properties, the associated splitting of the negative permeability band can be exploited for narrow band switching applications at near infrared frequencies involving just a single layer of such composite metamaterials.
A scheme for a kind of quantum left-handed metamaterial is proposed, which is composed of an array of superconducting quantum-interference devices and a dielectric background. Based on an analytical study, it is shown that (the real part of) the magnetic permeability $\ensuremath{\mu}$ can be negative with low loss and its frequency dependence is different from that of ordinary split-ring resonators. The structural requirements and frequency range for negative permeability are derived. Moreover, the permeability can be smoothly tuned over a large range by another (coupling) field via a quantum interference, which is similar to electromagnetically induced transparency of atomic systems. Negative refractivity with low loss can be achieved by tuning the permeability.
We study theoretically the quantum optical properties of hybrid molecules composed of an individual quantum dot and a metallic nanoparticle. We calculate the resonance fluorescence of this composite system. Its incoherent part, arising from nonlinear quantum processes, is enhanced by more than 2 orders of magnitude as compared to that of the dot alone. The coupling between the two systems gives rise to a Fano interference effect which strongly influences the quantum statistical properties of the scattered photons: a small frequency shift of the incident light field may cause changes in the intensity correlation function of the scattered field of orders of magnitude. The system opens a good perspective for applications in active metamaterials and ultracompact single-photon devices.
A strong optical nonlinearity arises when coherent light is scattered by a semiconductor quantum dot (QD) coupled to a nano-photonic waveguide. We exploit the Fano effect in such a waveguide to control the phase of the quantum interference underpinning the nonlinearity, demonstrating a tunable quantum optical filter which converts a coherent input state into either a bunched, or antibunched non-classical output state. We show theoretically that the generation of non-classical light is predicated on the formation of a two-photon bound state due to the interaction of the input coherent state with the QD. Our model demonstrates that the tunable photon statistics arise from the dependence of the sign of two-photon interference (either constructive or destructive) on the detuning of the input relative to the Fano resonance.
The emergence of hybrid nanostructures has paved a novel path for the development of nanotechnology and next-generation quantum devices.In this study, we report a remarkable enhancement of nonlinear diffraction achieved within a hybrid artificial molecule consisting of a semiconductor quantum dot (SQD) and a metal nanoparticle (MNP).Our findings reveal that the optical nonlinear properties of the hybrid system can be substantially enhanced due to the plasmon resonance of MNP.Specifically, reducing the interparticle distance and the SQD's size while increasing the MNP's size leads to a significant enhancement in the nonlinear phase modulation of the hybrid system.Meanwhile, the absorption spectra exhibit a redshift accompanied by linewidth broadening under the SQD-MNP coupling interaction controlled by geometric parameters, indicating plasmon-exciton energy transfer.On this basis, it is validated that the enhanced nonlinear phase modulation greatly improves the self-imaging visibility and the signal-to-noise ratio, and extends the near-field pattern over more Talbot lengths.We also demonstrate that the far-field diffraction efficiency is tunable via the coupling interaction between the artificial molecule and external fields, which is determined by the geometric structure, photon detuning, and Rabi frequency.For instance, the first-order diffraction efficiency can be increased from 39.58% to 55% if the geometric parameters of the hybrid system satisfy the threshold in non-resonance conditions.Such plasmon-enhanced optical lattices show potential for applications in all-optical modulators and all-optical switches operating at few-photon levels, and may also afford a novel perspective for the design and development of nanophotonics circuits and topological photonic devices.
Recent experiments have revealed ultrastrong coupling between light and matter as a promising avenue for modifying material properties, such as electrical transport, chemical reaction rates, and even superconductivity. Here, we explore (ultra)strong coupling as a means for manipulating the optical response of metamaterials based on ensembles of constituent units individually in the ultrastrong-coupling regime. We develop a framework based on linear response for quantum electrodynamical systems to study how light-matter coupling affects the optical response. We begin by applying this framework to find the optical response of a two-level emitter coupled to a single cavity mode, which could be seen as a ``meta-atom'' of a metamaterial built from repeated units of this system. We find optical behavior ranging from that of a simple two-level system (Lorentz-oscillator) to effectively transparent, as the coupling goes from the weak to deep strong-coupling regimes. We explore a one-dimensional chain of these meta-atoms, demonstrating the tunability of its optical behavior. Our scheme may ultimately provide a framework for designing metamaterials with low-loss, highly confined modes, as well as tunable (single-photon) nonlinearities.