Cavity magnon-polaritons in cuprate parent compounds

Abstract

Cavity control of quantum matter may offer new ways to study and manipulate many-body systems. A particularly appealing idea is to use cavities to enhance superconductivity, especially in unconventional or high-$T_c$ systems. Motivated by this, we propose a scheme for coupling Terahertz resonators to the antiferromagnetic fluctuations in a cuprate parent compound, which are believed to provide the glue for Cooper pairs in the superconducting phase. First, we derive the interaction between magnon excitations of the Neél-order and polar phonons associated with the planar oxygens. This mode also couples to the cavity electric field, and in the presence of spin-orbit interactions mediates a linear coupling between the cavity and magnons, forming hybridized magnon-polaritons. This hybridization vanishes linearly with photon momentum, implying the need for near-field optical methods, which we analyze within a simple model. We then derive a higher-order coupling between the cavity and magnons which is only present in bilayer systems, but does not rely on spin-orbit coupling. This interaction is found to be large, but only couples to the bimagnon operator. As a result we find a strong, but heavily damped, bimagnon-cavity interaction which produces highly asymmetric cavity line-shapes in the strong-coupling regime. To conclude, we outline several interesting extensions of our theory, including applications to carrier-doped cuprates and other strongly-correlated systems with Terahertz-scale magnetic excitations.

32 pages, 12 figures

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• Quantum Floquet engineering with an exactly solvable tight-binding chain in a cavity
• Controlling the magnetic state of the proximate quantum spin liquid $\alpha$-RuCl${}_3$ with an optical cavity
• Cavity Quantum Electrodynamics with Hyperbolic van der Waals Materials
• Dynamical mean-field study of a photon-mediated ferroelectric phase transition
• Berry Phase and Topology in Ultrastrongly Coupled Quantum Light-Matter Systems
• Ultrastrong magnon-photon coupling and entanglement in superconductor/ferromagnet nanostructures
• Vacuum-Induced Symmetry Breaking of Chiral Enantiomer Formation in Chemical Reactions
• Andreev bound states in junctions formed by conventional and $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian superconductors
• Non-Fermi-Liquid Behavior from Cavity Electromagnetic Vacuum Fluctuations at the Superradiant Transition
• Local Fluctuations in Cavity Control of Ferroelectricity
• Critical role of magnetic moments on lattice dynamics in YBa${}_2$Cu${}_3$O${}_6$
• Control of Yu-Shiba-Rusinov States through a Bosonic Mode
• A New Era of Quantum Materials Mastery and Quantum Simulators In and Out of Equilibrium