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- W2509008539 abstract "In this letter we introduce a novel approach to Hamiltonian tomography of non-interacting tight-binding photonic lattices. To begin with, we prove that the matrix element of the low-energy effective Hamiltonian between sites $i$ and $j$ may be obtained directly from $S_{ij}(omega)$, the (suitably normalized) two-port measurement between sites $i$ and $j$ at frequency $omega$. This general result enables complete characterization of both on-site energies and tunneling matrix elements in arbitrary lattice networks by spectroscopy, and suggests that coupling between lattice sites is actually a topological property of the two-port spectrum. We further provide extensions of this technique for measurement of band-projectors in finite, disordered systems with good flatness ratios, and apply the tool to direct real-space measurement of the Chern number. Our approach demonstrates the extraordinary potential of microwave quantum circuits for exploration of exotic synthetic materials, providing a clear path to characterization and control of single-particle properties of Jaynes-Cummings-Hubbard lattices. More broadly, we provide a robust, unified method of spectroscopic characterization of linear networks from photonic crystals to microwave lattices and everything in-between." @default.
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- W2509008539 date "2017-06-26" @default.
- W2509008539 modified "2023-09-30" @default.
- W2509008539 title "Hamiltonian tomography of photonic lattices" @default.
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- W2509008539 doi "https://doi.org/10.1103/physreva.95.062120" @default.
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