Abstract：Using one-dimensional semiconductor Bloch equations, we investigate the multiband dynamics of electrons in a cutoff extension scheme employing an infrared pulse with additional UV injection. An extended three-step model is firstly validated to play a dominant role in emitting harmonics in the second plateau. Surprisingly, further analysis employing the acceleration theorem shows that, though harmonics in both the primary and secondary present positive and negative chirps, the positive (negative) chirp in the first region is related to the so-called short (long) trajectory, while that in the second region is emitted through ‘general’ trajectory, where electrons tunneling earlier and recombining earlier contribute significantly. The novel characteristics deepen the understanding of high harmonic generation in solids and may have great significance in attosecond science and reconstruction of band dispersion beyond the band edge.
Ferray M, L'Huillier A, Li X F, Lompre L A, Mainfray G, and Manus C 1988 J. Phys. B21 L31
[5]
McPherson A, Gibson G, Jara H, Johann U, Luk T S, McIntyre I A, Boyer K, and Rhodes C K 1987 J. Opt. Soc. Am. B4 595
[6]
Paul P M, Toma E S, Breger P, Mullot G, Augé F, Balcou P, Muller H G, and Agostini P 2001 Science292 1689
[7]
Hohenleutner M, Langer F, Schubert O, Knorr M, Huttner U, Koch S W, Kira M, and Huber R 2015 Nature523 572
[8]
Popmintchev T, Chen M C, Popmintchev D, Arpin P, Brown S, Ališauskas S, Andriukaitis G, Balčiunas T, Mücke O D, Pugzlys A, Baltuška A, Shim B, Schrauth S E, Gaeta A, Hernández-García C, Plaja L, Becker A, Jaron-Becker A, Murnane M M, and Kapteyn H C 2012 Science336 1287
Kienberger R, Hentschel M, Uiberacker M, Spielmann C, Kitzler M, Scrinzi A, Wieland M, Westerwalbesloh T, Kleineberg U, Heinzmann U, Drescher M, and Krausz F 2002 Science297 1144
[11]
Klünder K, Dahlström J M, Gisselbrecht M, Fordell T, Swoboda M, Guénot D, Johnsson P, Caillat J, Mauritsson J, Maquet A, Taïeb R, and L'Huillier A 2011 Phys. Rev. Lett.106 143002
[12]
Drescher M, Hentschel M, Kienberger R, Uiberacker M, Yakovlev V, Scrinzi A, Westerwalbesloh T, Kleineberg U, Heinzmann U, and Krausz F 2002 Nature419 803
Uiberacker M, Uphues T, Schultze M, Verhoef A J, Yakovlev V, Kling M F, Rauschenberger J, Kabachnik N M, Schröder H, Lezius M, Kompa K L, Muller H G, Vrakking M J J, Hendel S, Kleineberg U, Heinzmann U, Drescher M, and Krausz F 2007 Nature446 627
Vampa G, Lu J, You Y S, Baykusheva D R, Wu M, Liu H, Schafer K J, Gaarde M B, Reis D A, and Ghimire S 2020 J. Phys. B53 144003
[36]
Ndabashimiye G, Ghimire S, Wu M, Browne D A, Schafer K J, Gaarde M B, and Reis D A 2016 Nature534 520
[37]
Schultze M, Bothschafter E M, Sommer A, Holzner S, Schweinberger W, Fiess M, Hofstetter M, Kienberger R, Apalkov V, Yakovlev V S, Stockman M I, and Krausz F 2013 Nature493 75
[38]
Schiffrin A, Paasch-Colberg T, Karpowicz N, Apalkov V, Gerster D, Mühlbrandt S, Korbman M, Reichert J, Schultze M, Holzner S, Barth J V, Kienberger R, Ernstorfer R, Yakovlev V S, Stockman M I, and Krausz F 2013 Nature493 70
[39]
Vampa G, Hammond T J, Thiré N, Schmidt B E, Légaré F, McDonald C R, Brabec T, Klug D D, and Corkum P B 2015 Phys. Rev. Lett.115 193603
Nefedova V E, Fröhlich S, Navarrete F, Tancogne-Dejean N, Franz D, Hamdou A, Kaassamani S, Gauthier D, Nicolas R, Jargot G, Hanna M, Georges P, Ciappina M F, Thumm U, Boutu W, and Merdji H 2021 Appl. Phys. Lett.118 201103
Uzan A J, Orenstein G, Á J G, McDonald C, Silva R E F, Bruner B D, Klimkin N D, Blanchet V, Arusi-Parpar T, Krüger M, Rubtsov A N, Smirnova O, Ivanov M, Yan B, Brabec T, and Dudovich N 2020 Nat. Photon.14 183
2022, Vol. 39 
