Emerging (2+1)D electrodynamics and topological instanton in pseudo-Hermitian two-level systems
arXiv:2505.07791 · doi:10.1103/kcls-cn82
Abstract
We reveal a hidden electrodynamical structure emerging from a general 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 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.
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