Adiabatic extraction of nonlinear optical properties from real-time time-dependent electronic-structure theory

Fuente: arXiv
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Autori principali: Ofstad, Benedicte Sverdrup, Kristiansen, Håkon Emil, Aurbakken, Einar, Schøyen, Øyvind Sigmundson, Kvaal, Simen, Pedersen, Thomas Bondo
Natura: Preprint
Pubblicazione: 2023
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author Ofstad, Benedicte Sverdrup
Kristiansen, Håkon Emil
Aurbakken, Einar
Schøyen, Øyvind Sigmundson
Kvaal, Simen
Pedersen, Thomas Bondo
author_facet Ofstad, Benedicte Sverdrup
Kristiansen, Håkon Emil
Aurbakken, Einar
Schøyen, Øyvind Sigmundson
Kvaal, Simen
Pedersen, Thomas Bondo
contents Real-time simulations of laser-driven electron dynamics contain information about molecular optical properties through all orders in response theory. These properties can be extracted by assuming convergence of the power series expansion of induced electric and magnetic multipole moments. However, the accuracy relative to analytical results from response theory quickly deteriorates for higher-order responses due to the presence of high-frequency oscillations in the induced multipole moment in the time domain. This problem has been ascribed to missing higher-order corrections. We here demonstrate that the deviations are caused by nonadiabatic effects arising from the finite-time ramping from zero to full strength of the external laser field. Three different approaches, two using a ramped wave and one using a pulsed wave, for extracting electrical properties from real-time time-dependent electronic-structure simulations are investigated. The standard linear ramp is compared to a quadratic ramp, which is found to yield highly accurate results for polarizabilities, and first and second hyperpolarizabilities, at roughly half the computational cost. Results for the third hyperpolarizability are presented along with a simple, computable measure of reliability.
format Preprint
id arxiv_https___arxiv_org_abs_2302_02779
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Adiabatic extraction of nonlinear optical properties from real-time time-dependent electronic-structure theory
Ofstad, Benedicte Sverdrup
Kristiansen, Håkon Emil
Aurbakken, Einar
Schøyen, Øyvind Sigmundson
Kvaal, Simen
Pedersen, Thomas Bondo
Chemical Physics
Real-time simulations of laser-driven electron dynamics contain information about molecular optical properties through all orders in response theory. These properties can be extracted by assuming convergence of the power series expansion of induced electric and magnetic multipole moments. However, the accuracy relative to analytical results from response theory quickly deteriorates for higher-order responses due to the presence of high-frequency oscillations in the induced multipole moment in the time domain. This problem has been ascribed to missing higher-order corrections. We here demonstrate that the deviations are caused by nonadiabatic effects arising from the finite-time ramping from zero to full strength of the external laser field. Three different approaches, two using a ramped wave and one using a pulsed wave, for extracting electrical properties from real-time time-dependent electronic-structure simulations are investigated. The standard linear ramp is compared to a quadratic ramp, which is found to yield highly accurate results for polarizabilities, and first and second hyperpolarizabilities, at roughly half the computational cost. Results for the third hyperpolarizability are presented along with a simple, computable measure of reliability.
title Adiabatic extraction of nonlinear optical properties from real-time time-dependent electronic-structure theory
topic Chemical Physics
url https://arxiv.org/abs/2302.02779