Rydberg Exciton-Polaritons in a Magnetic Field

Abstract

We theoretically investigate exciton-polaritons in a two-dimensional (2D) semiconductor heterostructure, where a static magnetic field is applied perpendicular to the plane. To explore the interplay between magnetic field and a strong light-matter coupling, we employ a fully microscopic theory that explicitly incorporates electrons, holes and photons in a semiconductor microcavity. Furthermore, we exploit a mapping between the 2D harmonic oscillator and the 2D hydrogen atom that allows us to efficiently solve the problem numerically for the entire Rydberg series as well as for the ground-state exciton. In contrast to previous approaches, we can readily obtain the real-space exciton wave functions and we show how they shrink in size with increasing magnetic field, which mirrors their increasing interaction energy and oscillator strength. We compare our theory with recent experiments on exciton-polaritons in GaAs heterostructures in an external magnetic field and we find excellent agreement with the measured polariton energies. Crucially, we are able to capture the observed light-induced changes to the exciton in the regime of very strong light-matter coupling where a perturbative coupled oscillator description breaks down. Our work can guide future experimental efforts to engineer and control Rydberg excitons and exciton-polaritons in a range of 2D materials.

18 pages, 12 figures; accepted version; V4: additional typos corrected

References in corpus (5)

• Quantum fluids of light
• Giant Rydberg Excitons in Cuprous Oxide
• Collective coherence in planar semiconductor microcavities
• Magnetic field tuning of exciton polaritons in a semiconductor microcavity
• Microscopic calculation of polariton scattering in semiconductor microcavities

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• Efficient calculation of trion energies in monolayer transition metal dichalcogenides
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• Resonance energies and linewidths of Rydberg excitons in Cu${}_2$O quantum wells
• Microscopic theory of excitons bound by light
• Effect of magnetic field on the Bose-Einstein condensation of quantum well exciton-polaritons
• Quasi-equilibrium polariton condensates in the non-linear regime and beyond
• Control Protocol for Dynamic Synthesis of Qubit and Qudit Gates Using Photonic Pulses and Magnetic Fields