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- W4323671569 abstract "In a Hermitian system, bound states must have quantized energies, whereas free states can form a continuum. We demonstrate how this principle fails for non-Hermitian systems, by analyzing non-Hermitian continuous Hamiltonians with an imaginary momentum and Landau-type vector potential. The eigenstates, which we call continuum Landau modes (CLMs), have Gaussian spatial envelopes and form a continuum filling the complex energy plane. We present experimentally realizable 1D and 2D lattice models that host CLMs; the lattice eigenstates are localized and have other features matching the continuous model. One of these lattices can serve as a rainbow trap, whereby the response to an excitation is concentrated at a position proportional to the frequency. Another lattice can act a wave funnel, concentrating an input excitation onto a boundary over a wide frequency bandwidth. Unlike recent funneling schemes based on the non-Hermitian skin effect, this requires a simple lattice design with reciprocal couplings." @default.
- W4323671569 created "2023-03-10" @default.
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- W4323671569 date "2023-03-08" @default.
- W4323671569 modified "2023-10-16" @default.
- W4323671569 title "Continuum of Bound States in a Non-Hermitian Model" @default.
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- W4323671569 doi "https://doi.org/10.1103/physrevlett.130.103602" @default.
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