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arXiv 2210.02500physics.opticsphysics.comp-ph
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固体介质中高次谐波产生中过渡偶极相位的重要性

On the (un)importance of the transition-dipole phase in the high-harmonic generation from solid state media

Jiahui Gu, Miroslav Kolesik

摘要:

固态高次谐波产生(HHG)继续吸引了大量的兴趣。从理论和模拟的角度来看,两个问题仍然是开放的;第一个是所谓的过渡偶极相位问题。人们已经认识到,偶极子必须被视为复值量,并且必须包括它们对应的贝瑞连接以确保相位规范不变性。然而,虽然这已经成功地实现了低维系统,完全矢量和三维模拟仍然是具有挑战性的。第二个问题涉及高次谐波响应的对称性,当模拟有时不能尊重晶体材料的对称性时。这项工作解决了这两个问题的HHG模拟方法的帮助下,其中a)是明显免费的过渡偶极相位问题,b)不需要计算的偶极矩,c)可以考虑从整个布里渊区的贡献,d)忠实地保持模拟晶体材料的对称性。我们使用的方法表明,高谐波源分布在整个布里渊区与各种相移引起显着的取消。因此,为了使模拟响应正确地捕获材料对称性,必须包括来自整个布里渊区的贡献。我们的研究结果具有重要意义的一些高次谐波的应用,包括全光波段和偶极重构。

英文摘要:

Solid-state high-harmonic generation (HHG) continues to attract a lot of interest. From the theory and simulation standpoint, two issues are still open; The first is the so-called transition-dipole phase problem. It has been recognized that the dipoles must be treated as complex-valued quantities, and that their corresponding Berry connections must be included to ensure phase-gauge invariance. However, while this has been successfully implemented for lower-dimensional systems, fully vectorial and three-dimensional simulations remain to be challenging. The second issue concerns the symmetry of the high-harmonic response, when simulations sometimes fail to honor the symmetry of the crystalline material. This work addresses both of these problems with the help of a HHG-simulation approach which a) is manifestly free of the transition-dipole phase problem, b) does not require calculation of dipole moments, c) can account for the contributions from the entire Brillouin zone, d) faithfully preserves the symmetry of the simulated crystalline material. We use the method to show that high-harmonic sources are distributed throughout the Brillouin zone with various phase-shifts giving rise to significant cancellations. As a consequence, for the simulated response to correctly capture the material symmetry, contributions from the entire Brillouin zone must be included. Our results have important implications for a number of HHG applications, including all-optical bandand dipole-reconstruction.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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