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Gelin MF, Chen L, Domcke W. Equation-of-Motion Methods for the Calculation of Femtosecond Time-Resolved 4-Wave-Mixing and N-Wave-Mixing Signals. Chem Rev 2022; 122:17339-17396. [PMID: 36278801 DOI: 10.1021/acs.chemrev.2c00329] [Citation(s) in RCA: 20] [Impact Index Per Article: 10.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/25/2023]
Abstract
Femtosecond nonlinear spectroscopy is the main tool for the time-resolved detection of photophysical and photochemical processes. Since most systems of chemical interest are rather complex, theoretical support is indispensable for the extraction of the intrinsic system dynamics from the detected spectroscopic responses. There exist two alternative theoretical formalisms for the calculation of spectroscopic signals, the nonlinear response-function (NRF) approach and the spectroscopic equation-of-motion (EOM) approach. In the NRF formalism, the system-field interaction is assumed to be sufficiently weak and is treated in lowest-order perturbation theory for each laser pulse interacting with the sample. The conceptual alternative to the NRF method is the extraction of the spectroscopic signals from the solutions of quantum mechanical, semiclassical, or quasiclassical EOMs which govern the time evolution of the material system interacting with the radiation field of the laser pulses. The NRF formalism and its applications to a broad range of material systems and spectroscopic signals have been comprehensively reviewed in the literature. This article provides a detailed review of the suite of EOM methods, including applications to 4-wave-mixing and N-wave-mixing signals detected with weak or strong fields. Under certain circumstances, the spectroscopic EOM methods may be more efficient than the NRF method for the computation of various nonlinear spectroscopic signals.
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Affiliation(s)
- Maxim F Gelin
- School of Science, Hangzhou Dianzi University, Hangzhou 310018, China
| | - Lipeng Chen
- Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Strasse 38, D-01187 Dresden, Germany
| | - Wolfgang Domcke
- Department of Chemistry, Technical University of Munich, D-85747 Garching,Germany
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Gelin MF, Egorova D, Domcke W. Strong-pump strong-probe spectroscopy: effects of higher excited electronic states. Phys Chem Chem Phys 2013; 15:8119-31. [PMID: 23588665 DOI: 10.1039/c3cp44454f] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The present paper is devoted to the simulation of (integral and dispersed) pump-probe signals in the nonperturbative regime for a series of material systems with multiple electronic states and excited-state absorption. We show that strong-pump strong-probe spectroscopy permits the probing of vibrational wavepackets in high-lying and/or short-lived excited electronic states with a time resolution which is not limited by the pulse durations. The field strength can be regarded as an additional experimentally controllable parameter, which can be tuned to maximize the spectroscopic information for a given material system.
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Affiliation(s)
- Maxim F Gelin
- Department of Chemistry, Technische Universität München, D-85747 Garching, Germany.
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Egorova D, Gelin MF, Thoss M, Wang H, Domcke W. Effects of intense femtosecond pumping on ultrafast electronic-vibrational dynamics in molecular systems with relaxation. J Chem Phys 2008; 129:214303. [DOI: 10.1063/1.3026509] [Citation(s) in RCA: 44] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2023] Open
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Kleinekathöfer U. Non-Markovian theories based on a decomposition of the spectral density. J Chem Phys 2006; 121:2505-14. [PMID: 15281847 DOI: 10.1063/1.1770619] [Citation(s) in RCA: 108] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
For the description of dynamical effects in quantum mechanical systems on ultrashort time scales, memory effects play an important role. Meier and Tannor [J. Chem. Phys. 111, 3365 (1999)] developed an approach which is based on a time-nonlocal scheme employing a numerical decomposition of the spectral density. Here we propose two different approaches which are based on a partial time-ordering prescription, i.e., a time-local formalism and also on a numerical decomposition of the spectral density. In special cases such as the Debye spectral density the present scheme can be employed even without the numerical decomposition of the spectral density. One of the proposed schemes is valid for time-independent Hamiltonians and can be given in a compact quantum master equation. In the case of time-dependent Hamiltonians one has to introduce auxiliary operators which have to be propagated in time along with the density matrix. For the example of a damped harmonic oscillator these non-Markovian theories are compared among each other, to the Markovian limit neglecting memory effects and time dependencies, and to exact path integral calculations. Good agreement between the exact calculations and the non-Markovian results is obtained. Some of the non-Markovian theories mentioned above treat the time dependence in the system Hamiltonians nonperturbatively. Therefore these methods can be used for the simulation of experiments with arbitrary large laser fields.
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Wang L, Ernstorfer R, Willig F, May V. Absorption Spectra Related to Heterogeneous Electron Transfer Reactions: The Perylene TiO2 System. J Phys Chem B 2005; 109:9589-95. [PMID: 16852154 DOI: 10.1021/jp0500539] [Citation(s) in RCA: 70] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
Linear absorption spectra of dye-semiconductor systems (perylene attached to nanostructured TiO2) are studied theoretically and experimentally. The systems show ultrafast photoinduced heterogeneous electron transfer (HET). By applying a time-dependent formulation of the absorbance, the theoretical analysis of the measured data is carried out. The respective electron-vibrational wave packet propagation fully accounts for the electronic coupling to the conduction band continuum of TiO2 and is based on a single-reaction-coordinate model (corresponding to a perylene in-plane C-C stretching vibration with a quantum energy of 1370 cm(-1)). By the insertion of different bridge-anchor groups, the electronic coupling responsible for HET is varied. The dye absorbance in a solvent and the trends in the line broadening of the vibrational progression due to the coupling to the conduction band continuum are reproduced for all investigated types of bridge-anchor groups. HET rates deduced from the calculations on the absorbance displaying line broadenings follow the qualitative trend obtained from transient absorption spectra.
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Affiliation(s)
- Luxia Wang
- Institut für Physik, Humboldt-Universität zu Berlin, Newtonstrasse 15, D-12489 Berlin, Germany
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Kleinekathöfer U, Barvík I, Heřman P, Kondov I, Schreiber M. Memory Effects in the Fluorescence Depolarization Dynamics Studied within the B850 Ring of Purple Bacteria. J Phys Chem B 2003. [DOI: 10.1021/jp035801d] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/30/2023]
Affiliation(s)
- Ulrich Kleinekathöfer
- International University Bremen, P.O. Box 750 561, 28725 Bremen, Germany, Institute of Physics, Charles University, Ke Karlovu 5, CZ-12116 Prague, Czech Republic, Department of Physics, University of Hradec Králové, V. Nejedlého 573, CZ-50003 Hradec Králové, Czech Republic, and Institut für Physik, Technische Universität, 09107 Chemnitz, Germany
| | - Ivan Barvík
- International University Bremen, P.O. Box 750 561, 28725 Bremen, Germany, Institute of Physics, Charles University, Ke Karlovu 5, CZ-12116 Prague, Czech Republic, Department of Physics, University of Hradec Králové, V. Nejedlého 573, CZ-50003 Hradec Králové, Czech Republic, and Institut für Physik, Technische Universität, 09107 Chemnitz, Germany
| | - Pavel Heřman
- International University Bremen, P.O. Box 750 561, 28725 Bremen, Germany, Institute of Physics, Charles University, Ke Karlovu 5, CZ-12116 Prague, Czech Republic, Department of Physics, University of Hradec Králové, V. Nejedlého 573, CZ-50003 Hradec Králové, Czech Republic, and Institut für Physik, Technische Universität, 09107 Chemnitz, Germany
| | - Ivan Kondov
- International University Bremen, P.O. Box 750 561, 28725 Bremen, Germany, Institute of Physics, Charles University, Ke Karlovu 5, CZ-12116 Prague, Czech Republic, Department of Physics, University of Hradec Králové, V. Nejedlého 573, CZ-50003 Hradec Králové, Czech Republic, and Institut für Physik, Technische Universität, 09107 Chemnitz, Germany
| | - Michael Schreiber
- International University Bremen, P.O. Box 750 561, 28725 Bremen, Germany, Institute of Physics, Charles University, Ke Karlovu 5, CZ-12116 Prague, Czech Republic, Department of Physics, University of Hradec Králové, V. Nejedlého 573, CZ-50003 Hradec Králové, Czech Republic, and Institut für Physik, Technische Universität, 09107 Chemnitz, Germany
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