Theory of magnon polaritons in quantum Ising materials

McKenzie, Ryan D.; Libersky, M.; Silevitch, D. M.; Rosenbaum, T. F.

doi:10.1103/physreva.106.043716

Theory of magnon polaritons in quantum Ising materials

Journal Article · Mon Oct 24 00:00:00 EDT 2022 · Physical Review A

DOI:https://doi.org/10.1103/physreva.106.043716· OSTI ID:2420397

^[1]; Libersky, M. ^[2]; ^[2]; Rosenbaum, T. F. ^[2]

Unaffiliated, Nanaimo (Canada); OSTI
California Institute of Technology (CalTech), Pasadena, CA (United States)

Here, we present a theory of magnon-polaritons in quantum Ising materials, and develop a formalism describing the coupling between light and matter as an Ising system is tuned through its quantum critical point. The theory is applied to Ising materials having multilevel single-site Hamiltonians, in which multiple magnon modes are present, such as the insulating Ising magnet LiHoF₄. We find that the magnon-photon coupling strengths may be tuned by the applied transverse field, with the coupling between the soft mode present in the quantum Ising material and a photonic resonator mode diverging at the quantum critical point of the material. A fixed system of spins will not exhibit the diamagnetic response expected when light is coupled to mobile spins or atoms. Without the diamagnetic response, one expects a divergent magnon-photon coupling strength to lead to a superradiant quantum phase transition. However, this neglects the effects of damping and decoherence present in any real system. We show that damping and decoherence may block the superradiant quantum phase transition, and lead to weak coupling between the soft magnon mode and the resonator mode. The results of the theory are applied to experimental data on the model system LiHoF₄ in a microwave resonator.

View Accepted Manuscript (DOE)

Research Organization:: California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0014866

OSTI ID:: 2420397

Journal Information:: Physical Review A, Journal Name: Physical Review A Journal Issue: 4 Vol. 106; ISSN 2469-9926

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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