Spin resonance without a spin: A microwave analog
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916461373554688 |
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| author | Hofmann, Tobias Schmidt, Finn Stöckmann, Hans-Jürgen Kuhl, Ulrich |
| author_facet | Hofmann, Tobias Schmidt, Finn Stöckmann, Hans-Jürgen Kuhl, Ulrich |
| contents | 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 $π$ for the waves traveling through the bonds. As a consequence all eigenvalues appear as Kramers doublets. Detuning the length difference from the $π$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_22968 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spin resonance without a spin: A microwave analog Hofmann, Tobias Schmidt, Finn Stöckmann, Hans-Jürgen Kuhl, Ulrich Applied Physics Mesoscale and Nanoscale Physics 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 $π$ for the waves traveling through the bonds. As a consequence all eigenvalues appear as Kramers doublets. Detuning the length difference from the $π$ 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. |
| title | Spin resonance without a spin: A microwave analog |
| topic | Applied Physics Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2410.22968 |