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arXiv · 2410.22968

Spin resonance without a spin: A microwave analog

Abstract

An analog of nuclear magnetic resonance is realized in a microwave network with symplectic symmetry. The network consists of two identical subgraphs coupled by a pair of bonds with a length difference corresponding to a phase difference of $\pi$ for the waves traveling through the bonds. As a consequence all eigenvalues appear as Kramers doublets. Detuning the length difference from the $\pi$ condition Kramers degeneracy is lifted, which may be interpreted as a Zeeman splitting of a spin 1/2 in a magnetic field. The lengths of another pair of bonds are modulated periodically with frequencies of some 10 MHz by means of diodes, thus emulating a magnetic radiofrequency field. Features well-known from NMR such as the transition from the laboratory to the rotating frame, and Lorentzian shaped resonance curves can thus be realized.

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Tobias Hofmann, Finn Schmidt, Hans-Jürgen Stöckmann, Ulrich Kuhl. 2024-10-10. Spin resonance without a spin: A microwave analog. https://arxiv.org/abs/2410.22968

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