Abstract
Achieving strong coupling between light and matter excitations in hybrid systems is a benchmark for the implementation of quantum technologies. We recently proposed (Bittencourt, Liberal, and Viola-Kusminskiy, arXiv:2110.02984) that strong single-particle coupling between magnons and light can be realized in a magnetized epsilon-near-zero (ENZ) medium, in which magneto-optical effects are enhanced. Here we present a detailed derivation of the magnon-photon coupling Hamiltonian in dispersive media both for degenerate and nondegenerate optical modes, and show the enhancement of the coupling near the ENZ frequency. Moreover, we show that the coupling of magnons to plane-wave nondegenerate Voigt modes vanishes at specific frequencies due to polarization selection rules tuned by dispersion. Finally, we present specific results using a Lorentz dispersion model. Our results pave the way for the design of dispersive optomagnonic systems, providing a general theoretical framework for describing and engineering ENZ-based optomagnonic systems.
Highlights
Achieving strong coupling between light and matter has been a benchmark for the development of quantum technologies [1,2], especially for the design of quantum hybrid systems [3]
We study the propagation regimes of plane waves in such framework, recovering the isolation features for waves propagating in the Faraday configuration at the ENZ regime reported in the literature [29], as well as in the Voigt configuration, and evaluate the magnon-photon coupling, showing the coupling enhancement at ENZ and the dispersion selection rules for nondegenerate modes
We applied the phenomenological quantization procedure by Milonni [39], generalizing it to include the Faraday effect, obtaining the interaction Hamiltonian describing the coupling between a uniform magnon mode and plane-wave-like optical modes in an ENZ Faraday-active medium
Summary
Achieving strong coupling between light and matter has been a benchmark for the development of quantum technologies [1,2], especially for the design of quantum hybrid systems [3]. This behavior is a consequence of dispersion, either due to the bulk material (e.g., the usual Lorentz dispersion of dielectrics) or due to the structure of the medium (e.g., a metallic waveguide operating at a cutoff frequency) In such media, nonlinear effects and secondary responses of the media to optics are enhanced, making ENZ, and more generally speaking near-zero-index media, interesting platforms for matter-light interactions and hybrid systems, for instance, allowing the realization of strong plasmon-phonon coupling [28]. II C we derive the relevant optical polarization for plane waves propagating in magnetized media and for modes of a magneto-optical Fabry-Pérot cavity With those modes we evaluate the optomagnonic Hamiltonian for degenerate and nondegenerate modes in Sec. II D, where we derive some general features of the coupling, such as its behavior at the ENZ frequency and the requirements for achieving strong single magnon-photon coupling.
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