Emerging (2+1)D electrodynamics and topological instanton in pseudo-Hermitian two-level systems
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908689161519104 |
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| author | Deng, Kuangyin Cheng, Ran |
| author_facet | Deng, Kuangyin Cheng, Ran |
| contents | We reveal a hidden electrodynamical structure emerging from a general $2\times2$ pseudo-Hermitian system that exhibits real spectra. Even when the Hamiltonian does not explicitly depend on time, the Berry curvature can be mapped onto a $2+1$ dimensional electromagnetic field arising from an artificial spacetime instanton, in sharp contrast to the Hermitian systems where the Berry curvature is equivalent to the static magnetic field of a magnetic monopole in three spatial dimensions. The instanton appearing as a spacetime singularity carries a topological charge that quantizes the jump of magnetic flux of the Berry curvature at the time origin. Our findings are demonstrated in a simple example related to antiferromagnetic magnons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_07791 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Emerging (2+1)D electrodynamics and topological instanton in pseudo-Hermitian two-level systems Deng, Kuangyin Cheng, Ran Mesoscale and Nanoscale Physics Other Condensed Matter High Energy Physics - Theory Quantum Physics We reveal a hidden electrodynamical structure emerging from a general $2\times2$ pseudo-Hermitian system that exhibits real spectra. Even when the Hamiltonian does not explicitly depend on time, the Berry curvature can be mapped onto a $2+1$ dimensional electromagnetic field arising from an artificial spacetime instanton, in sharp contrast to the Hermitian systems where the Berry curvature is equivalent to the static magnetic field of a magnetic monopole in three spatial dimensions. The instanton appearing as a spacetime singularity carries a topological charge that quantizes the jump of magnetic flux of the Berry curvature at the time origin. Our findings are demonstrated in a simple example related to antiferromagnetic magnons. |
| title | Emerging (2+1)D electrodynamics and topological instanton in pseudo-Hermitian two-level systems |
| topic | Mesoscale and Nanoscale Physics Other Condensed Matter High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2505.07791 |