Saved in:
Bibliographic Details
Main Authors: Dabiri, S. Sajad, Asgari, Reza
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2409.13157
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866915185686478848
author Dabiri, S. Sajad
Asgari, Reza
author_facet Dabiri, S. Sajad
Asgari, Reza
contents We present a comprehensive theoretical framework for calculating the linear and nonlinear optical responses of time-periodic quantum systems. Using density matrix evolution in the Floquet basis and adopting the length gauge, our approach incorporates both interband and intraband contributions of the position operator, enabling detailed insights into photon-assisted transitions and their associated optical phenomena. Notably, we identify a divergent ac response to dc fields in Floquet systems, reminiscent of a Drude peak at finite frequencies. This framework generalizes to optical tensor conductivity calculations at arbitrary perturbation orders and captures various DC photocurrents, including shift current, injection current, and Berry dipole contributions, under specific limits. To demonstrate the versatility of our method, we compute linear and nonlinear optical conductivities for one- and two-dimensional systems, revealing phenomena such as band inversions, j-photon-assisted transitions, and high harmonic generation. These results highlight the interplay between periodic driving and nonlinear optical effects, offering different avenues for exploring dynamical topological properties and their applications in ultrafast spintronics, optoelectronics, and strongly correlated systems. Our findings provide a robust platform for analyzing the complex optical behavior of driven quantum systems and guiding experimental investigations in this rapidly evolving field.
format Preprint
id arxiv_https___arxiv_org_abs_2409_13157
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Dynamical nonlinear optical response in time-periodic quantum systems
Dabiri, S. Sajad
Asgari, Reza
Materials Science
Mesoscale and Nanoscale Physics
We present a comprehensive theoretical framework for calculating the linear and nonlinear optical responses of time-periodic quantum systems. Using density matrix evolution in the Floquet basis and adopting the length gauge, our approach incorporates both interband and intraband contributions of the position operator, enabling detailed insights into photon-assisted transitions and their associated optical phenomena. Notably, we identify a divergent ac response to dc fields in Floquet systems, reminiscent of a Drude peak at finite frequencies. This framework generalizes to optical tensor conductivity calculations at arbitrary perturbation orders and captures various DC photocurrents, including shift current, injection current, and Berry dipole contributions, under specific limits. To demonstrate the versatility of our method, we compute linear and nonlinear optical conductivities for one- and two-dimensional systems, revealing phenomena such as band inversions, j-photon-assisted transitions, and high harmonic generation. These results highlight the interplay between periodic driving and nonlinear optical effects, offering different avenues for exploring dynamical topological properties and their applications in ultrafast spintronics, optoelectronics, and strongly correlated systems. Our findings provide a robust platform for analyzing the complex optical behavior of driven quantum systems and guiding experimental investigations in this rapidly evolving field.
title Dynamical nonlinear optical response in time-periodic quantum systems
topic Materials Science
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2409.13157