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        <dc:title>Near-bandgap harmonic generation in solids from multiple scattering revealed by complex quantum trajectories</dc:title>
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        <bibo:abstract>&lt;jats:p&gt;
                    High-harmonic generation in solids enables probing of strong-field electron dynamics in condensed matter and the development of compact ultrafast light sources. Whereas most studies have focused on above-bandgap high-order harmonics, which are usually interpreted through short electron-hole trajectories that recombine within one optical cycle, the microscopic origin of low-order emission near the bandgap remains poorly understood. Here, we investigate near-bandgap harmonic generation in ZnO by combining semiconductor Bloch equations with a complex-time quantum-trajectory analysis. Our results indicate that these harmonics are not a continuation of the short trajectory. Rather, they originate from multiple-scattering trajectories, in which the electron-hole pair undergoes repeated Bragg scattering at the Brillouin-zone boundary and electron-hole reencounter near the
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                    point before the actual recombination occurs. We identify that the imaginary part of the electron-hole displacement provides a practical diagnostic of the residual tunneling memory. Real-space electron-hole overlap alone does not imply coherent recombination unless the full complex displacement vanishes. These results clarify the microscopic picture of near-bandgap harmonic emission in ZnO and offer a framework for interpreting phase-resolved strong-field dynamics in solids.
                  &lt;/jats:p&gt;</bibo:abstract>
        <bibo:volume>8</bibo:volume>
        <bibo:issue>3</bibo:issue>
        <dc:publisher>American Physical Society (APS)</dc:publisher>
        <bibo:doi rdf:resource="10.1103/l939-jglf" />
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