[{"citation":{"chicago":"Huo, Xunqin, Xiwang Liu, Shidong Yang, Xiaohong Song, Torsten Meier, and Weifeng Yang. “Near-Bandgap Harmonic Generation in Solids from Multiple Scattering Revealed by Complex Quantum Trajectories.” <i>Physical Review Research</i> 8, no. 3 (2026). <a href=\"https://doi.org/10.1103/l939-jglf\">https://doi.org/10.1103/l939-jglf</a>.","short":"X. Huo, X. Liu, S. Yang, X. Song, T. Meier, W. Yang, Physical Review Research 8 (2026).","ieee":"X. Huo, X. Liu, S. Yang, X. Song, T. Meier, and W. Yang, “Near-bandgap harmonic generation in solids from multiple scattering revealed by complex quantum trajectories,” <i>Physical Review Research</i>, vol. 8, no. 3, Art. no. 033303, 2026, doi: <a href=\"https://doi.org/10.1103/l939-jglf\">10.1103/l939-jglf</a>.","apa":"Huo, X., Liu, X., Yang, S., Song, X., Meier, T., &#38; Yang, W. (2026). Near-bandgap harmonic generation in solids from multiple scattering revealed by complex quantum trajectories. <i>Physical Review Research</i>, <i>8</i>(3), Article 033303. <a href=\"https://doi.org/10.1103/l939-jglf\">https://doi.org/10.1103/l939-jglf</a>","bibtex":"@article{Huo_Liu_Yang_Song_Meier_Yang_2026, title={Near-bandgap harmonic generation in solids from multiple scattering revealed by complex quantum trajectories}, volume={8}, DOI={<a href=\"https://doi.org/10.1103/l939-jglf\">10.1103/l939-jglf</a>}, number={3033303}, journal={Physical Review Research}, publisher={American Physical Society (APS)}, author={Huo, Xunqin and Liu, Xiwang and Yang, Shidong and Song, Xiaohong and Meier, Torsten and Yang, Weifeng}, year={2026} }","ama":"Huo X, Liu X, Yang S, Song X, Meier T, Yang W. Near-bandgap harmonic generation in solids from multiple scattering revealed by complex quantum trajectories. <i>Physical Review Research</i>. 2026;8(3). doi:<a href=\"https://doi.org/10.1103/l939-jglf\">10.1103/l939-jglf</a>","mla":"Huo, Xunqin, et al. “Near-Bandgap Harmonic Generation in Solids from Multiple Scattering Revealed by Complex Quantum Trajectories.” <i>Physical Review Research</i>, vol. 8, no. 3, 033303, American Physical Society (APS), 2026, doi:<a href=\"https://doi.org/10.1103/l939-jglf\">10.1103/l939-jglf</a>."},"publisher":"American Physical Society (APS)","_id":"67146","volume":8,"user_id":"16199","status":"public","date_created":"2026-09-15T06:50:14Z","department":[{"_id":"15"},{"_id":"170"},{"_id":"293"},{"_id":"230"},{"_id":"623"}],"type":"journal_article","publication":"Physical Review Research","issue":"3","abstract":[{"text":"<jats:p>\r\n                    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\r\n                    <a:math xmlns:a=\"http://www.w3.org/1998/Math/MathML\">\r\n                      <a:mi mathvariant=\"normal\">Γ</a:mi>\r\n                    </a:math>\r\n                    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.\r\n                  </jats:p>","lang":"eng"}],"language":[{"iso":"eng"}],"article_number":"033303","doi":"10.1103/l939-jglf","author":[{"first_name":"Xunqin","last_name":"Huo","full_name":"Huo, Xunqin"},{"full_name":"Liu, Xiwang","first_name":"Xiwang","last_name":"Liu"},{"full_name":"Yang, Shidong","last_name":"Yang","first_name":"Shidong"},{"full_name":"Song, Xiaohong","last_name":"Song","first_name":"Xiaohong"},{"id":"344","first_name":"Torsten","orcid":"0000-0001-8864-2072","last_name":"Meier","full_name":"Meier, Torsten"},{"full_name":"Yang, Weifeng","first_name":"Weifeng","last_name":"Yang"}],"publication_identifier":{"issn":["2643-1564"]},"year":"2026","title":"Near-bandgap harmonic generation in solids from multiple scattering revealed by complex quantum trajectories","intvolume":"         8","publication_status":"published","date_updated":"2026-09-15T06:51:05Z"}]