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Excited State Absorption from Real-Time Time-Dependent Density Functional Theory SciDAC-3 PI Meeting 1 Pacific Northwest National Laboratory 2 University of Minnesota Real-Time (RT) TDDFT Sean Fischer 1 , Niri Govind 1 , Chris Cramer 2 QR-TDDFT Excited state energies obtained from LR-TDDFT Transition moments between excited states obtained from second order residues of the QR function Straightforward assignment of states Can be cumbersome and costly for excited state absorption spectrum of a large molecule RT-TDDFT Obtain excited state absorption spectrum by propagating excited state density (linear response of excited state) Excited state density obtained from LR-TDDFT gradients calculation Scales favorably with system size Assignment of states not straightforward Excited State Absorption Signal Processing Non-stationary state Due to approximations in exchange-correlation functional, initial excited state is not stationary Can (mostly) account for non-stationary initial state by creating a moving reference Dipole moment with applied field referenced to simulation without applied field H 2 + and H 2 ESA RT-TDHF/6-31G HF is exact for one-electron case Emission is natural part of approach Different reference state leads to different transition frequencies/intensities for inexact theories RT-TDDFT vs QR-TDDFT Butadiene RT-TDHF and QR-TDHF give similar results Transition density from RT-TDHF for negative feature qualitatively agrees with transition density from LR-TDHF, indicating emission in the RT-TDHF simulation Oligofluorenes : B3LYP/6-31G RT-TDDFT shows slightly better performance than QR- TDDFT relative to experiment Transient Absorption Boron subphthalocyanine chloride Transient absorption spectra Measurement from lab of Prof. David Blank, University of Minnesota Simulation B3LYP/6-31G* optimized ground state geometry RT-TDDFT with BHLYP/6-31G* Simulated transient spectrum obtained from subtracting the ground state spectrum from the excited state spectrum Full response beyond perturbation limit Real-time, real-space ! full dynamical information Insight into ultrafast and nonlinear processes High harmonic generation Valence, core, and now excited state excitations Compatible with all XC functionals in NWChem J. Chem. Theory Comput., submitted (June 2015) S 0 ->S 1 6.25 eV S 0 ->S 1 6.10 eV
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Page 1: Excited State Absorption from Real-Time Time-Dependent ... · Excited State Absorption from Real-Time Time-Dependent Density Functional Theory SciDAC-3 PI Meeting 1Pacific Northwest

Excited State Absorption from Real-Time Time-Dependent Density Functional Theory

SciDAC-3 PI Meeting 1Pacific Northwest National Laboratory 2University of Minnesota

Real-Time (RT) TDDFT

Sean Fischer1, Niri Govind1, Chris Cramer2

  QR-TDDFT  Excited state energies obtained from LR-TDDFT  Transition moments between excited states obtained from second order residues of the QR function  Straightforward assignment of states  Can be cumbersome and costly for excited state absorption spectrum of a large molecule

  RT-TDDFT  Obtain excited state absorption spectrum by propagating excited state density (linear response of excited state)  Excited state density obtained from LR-TDDFT gradients calculation  Scales favorably with system size  Assignment of states not straightforward

Excited State Absorption

Signal Processing

  Non-stationary state  Due to approximations in exchange-correlation functional, initial excited state is not stationary  Can (mostly) account for non-stationary initial state by creating a moving reference  Dipole moment with applied field referenced to simulation without applied field

H2+ and H2 ESA

  RT-TDHF/6-31G  HF is exact for one-electron case  Emission is natural part of approach  Different reference state leads to different transition frequencies/intensities for inexact theories

RT-TDDFT vs QR-TDDFT

  Butadiene  RT-TDHF and QR-TDHF give similar results  Transition density from RT-TDHF for negative feature qualitatively agrees with transition density from LR-TDHF, indicating emission in the RT-TDHF simulation

  Oligofluorenes: B3LYP/6-31G  RT-TDDFT shows slightly better performance than QR-TDDFT relative to experiment

Transient Absorption

  Boron subphthalocyanine chloride  Transient absorption spectra  Measurement from lab of Prof. David Blank, University of Minnesota

  Simulation  B3LYP/6-31G* optimized ground state geometry  RT-TDDFT with BHLYP/6-31G*  Simulated transient spectrum obtained from subtracting the ground state spectrum from the excited state spectrum

  Full response beyond perturbation limit   Real-time, real-space ! full dynamical information   Insight into ultrafast and nonlinear processes   High harmonic generation   Valence, core, and now excited state excitations   Compatible with all XC functionals in NWChem

J. Chem. Theory Comput., submitted (June 2015)

S0->S1 6.25 eV

S0->S1 6.10 eV

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