51
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Martinez F, Hanna G. Mixed Quantum-Classical Simulations of Transient Absorption Pump–Probe Signals for a Photo-Induced Electron Transfer Reaction Coupled to an Inner-Sphere Vibrational Mode. J Phys Chem A 2016; 120:3196-205. [DOI: 10.1021/acs.jpca.5b11727] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Franz Martinez
- Department
of Chemistry, University of Alberta, Edmonton, Alberta T6G 2R3, Canada
| | - Gabriel Hanna
- Department
of Chemistry, University of Alberta, Edmonton, Alberta T6G 2R3, Canada
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52
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Chen L, Gelin MF, Chernyak VY, Domcke W, Zhao Y. Dissipative dynamics at conical intersections: simulations with the hierarchy equations of motion method. Faraday Discuss 2016; 194:61-80. [DOI: 10.1039/c6fd00088f] [Citation(s) in RCA: 36] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The effect of a dissipative environment on the ultrafast nonadiabatic dynamics at conical intersections is analyzed for a two-state two-mode model chosen to represent the S2(ππ*)–S1(nπ*) conical intersection in pyrazine (the system) which is bilinearly coupled to infinitely many harmonic oscillators in thermal equilibrium (the bath). The system–bath coupling is modeled by the Drude spectral function. The equation of motion for the reduced density matrix of the system is solved numerically exactly with the hierarchy equation of motion method using graphics-processor-unit (GPU) technology. The simulations are valid for arbitrary strength of the system–bath coupling and arbitrary bath memory relaxation time. The present computational studies overcome the limitations of weak system–bath coupling and short memory relaxation time inherent in previous simulations based on multi-level Redfield theory [A. Kühl and W. Domcke, J. Chem. Phys. 2002, 116, 263]. Time evolutions of electronic state populations and time-dependent reduced probability densities of the coupling and tuning modes of the conical intersection have been obtained. It is found that even weak coupling to the bath effectively suppresses the irregular fluctuations of the electronic populations of the isolated two-mode conical intersection. While the population of the upper adiabatic electronic state (S2) is very efficiently quenched by the system–bath coupling, the population of the diabatic ππ* electronic state exhibits long-lived oscillations driven by coherent motion of the tuning mode. Counterintuitively, the coupling to the bath can lead to an enhanced lifetime of the coherence of the tuning mode as a result of effective damping of the highly excited coupling mode, which reduces the strong mode–mode coupling inherent to the conical intersection. The present results extend previous studies of the dissipative dynamics at conical intersections to the nonperturbative regime of system–bath coupling. They pave the way for future first-principles simulations of femtosecond time-resolved four-wave-mixing spectra of chromophores in condensed phases which are nonperturbative in the system dynamics, the system–bath coupling as well as the field-matter coupling.
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Affiliation(s)
- Lipeng Chen
- Division of Materials Science
- Nanyang Technological University
- Singapore 639798
| | - Maxim F. Gelin
- Department of Chemistry
- Technische Universität München
- Garching D-85747
- Germany
| | | | - Wolfgang Domcke
- Department of Chemistry
- Technische Universität München
- Garching D-85747
- Germany
| | - Yang Zhao
- Division of Materials Science
- Nanyang Technological University
- Singapore 639798
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53
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Wehner J, Engel V. Two-dimensional optical spectroscopy of homo- and heterodimers. Phys Chem Chem Phys 2016; 18:32910-32920. [DOI: 10.1039/c6cp04936b] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We theoretically study the two-dimensional (2D) spectroscopy of molecular dimers.
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Affiliation(s)
- Johannes Wehner
- Universität Würzburg
- Institut für Physikalische und Theoretische Chemie
- 97074 Würzburg
- Germany
| | - Volker Engel
- Universität Würzburg
- Institut für Physikalische und Theoretische Chemie
- 97074 Würzburg
- Germany
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54
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Krčmář J, Gelin MF, Domcke W. Simulation of femtosecond two-dimensional electronic spectra of conical intersections. J Chem Phys 2015; 143:074308. [PMID: 26298135 DOI: 10.1063/1.4928685] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We have simulated femtosecond two-dimensional (2D) electronic spectra for an excited-state conical intersection using the wave-function version of the equation-of-motion phase-matching approach. We show that 2D spectra at fixed values of the waiting time provide information on the structure of the vibronic eigenstates of the conical intersection, while the evolution of the spectra with the waiting time reveals predominantly ground-state wave-packet dynamics. The results show that 2D spectra of conical intersection systems differ significantly from those obtained for chromophores with well separated excited-state potential-energy surfaces. The spectral signatures which can be attributed to conical intersections are discussed.
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Affiliation(s)
- Jindřich Krčmář
- Department of Chemistry, Technische Universität München, D-85747 Garching, Germany
| | - Maxim F Gelin
- Department of Chemistry, Technische Universität München, D-85747 Garching, Germany
| | - Wolfgang Domcke
- Department of Chemistry, Technische Universität München, D-85747 Garching, Germany
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55
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Sun KW, Gelin MF, Chernyak VY, Zhao Y. Davydov Ansatz as an efficient tool for the simulation of nonlinear optical response of molecular aggregates. J Chem Phys 2015; 142:212448. [DOI: 10.1063/1.4921575] [Citation(s) in RCA: 34] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Ke-Wei Sun
- School of Science, Hangzhou Dianzi University, Hangzhou 310018, China
- Division of Materials Science, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore
| | - Maxim F. Gelin
- Department of Chemistry, Technische Universität München, Garching D-85747, Germany
| | - Vladimir Y. Chernyak
- Division of Materials Science, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore
- Department of Chemistry, Wayne State University, Detroit, Michigan 48202, USA
| | - Yang Zhao
- Division of Materials Science, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore
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56
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Albert J, Falge M, Keß M, Wehner JG, Zhang PP, Eisfeld A, Engel V. Extended quantum jump description of vibronic two-dimensional spectroscopy. J Chem Phys 2015; 142:212440. [DOI: 10.1063/1.4919870] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Julian Albert
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg, Campus Nord, Emil-Fischer-St. 42, 97074 Würzburg, Germany
| | - Mirjam Falge
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg, Campus Nord, Emil-Fischer-St. 42, 97074 Würzburg, Germany
| | - Martin Keß
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg, Campus Nord, Emil-Fischer-St. 42, 97074 Würzburg, Germany
| | - Johannes G. Wehner
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg, Campus Nord, Emil-Fischer-St. 42, 97074 Würzburg, Germany
| | - Pan-Pan Zhang
- Max-Planck-Institute for the Physics of Complex Systems, Noethnitzer St. 38, D-01187 Dresden, Germany
| | - Alexander Eisfeld
- Max-Planck-Institute for the Physics of Complex Systems, Noethnitzer St. 38, D-01187 Dresden, Germany
| | - Volker Engel
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg, Campus Nord, Emil-Fischer-St. 42, 97074 Würzburg, Germany
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57
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Spencer AP, Li H, Cundiff ST, Jonas DM. Pulse Propagation Effects in Optical 2D Fourier-Transform Spectroscopy: Theory. J Phys Chem A 2015; 119:3936-60. [DOI: 10.1021/acs.jpca.5b00001] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Austin P. Spencer
- Department
of Chemistry and Biochemistry, University of Colorado, Boulder, Colorado 80309-0215, United States
| | - Hebin Li
- JILA, University of Colorado and National Institute of Standards and Technology, Boulder, Colorado 80309-0440, United States
- Department
of Physics, Florida International University, Miami, Florida 33199, United States
| | - Steven T. Cundiff
- JILA, University of Colorado and National Institute of Standards and Technology, Boulder, Colorado 80309-0440, United States
| | - David M. Jonas
- Department
of Chemistry and Biochemistry, University of Colorado, Boulder, Colorado 80309-0215, United States
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58
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Wehner J, Falge M, Strunz WT, Engel V. Quantum diffusion wave-function approach to two-dimensional vibronic spectroscopy. J Chem Phys 2014; 141:134306. [PMID: 25296805 DOI: 10.1063/1.4896705] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
We apply the quantum diffusion wavefunction approach to calculate vibronic two-dimensional (2D) spectra. As an example, we use a system consisting of two electronic states with harmonic oscillator potentials which are coupled to a bath and interact with three time-delayed laser pulses. The first- and second-order perturbative wave functions which enter into the expression for the third-order polarization are determined for a sufficient number of stochastic runs. The wave-packet approach, besides being an alternative technique to calculate the spectra, offers an intuitive insight into the dissipation dynamics and its relation to the 2D vibronic spectra.
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Affiliation(s)
- Johannes Wehner
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg, Hubland Campus Nord, Emil-Fischer-Str. 42, 97074 Würzburg, Germany
| | - Mirjam Falge
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg, Hubland Campus Nord, Emil-Fischer-Str. 42, 97074 Würzburg, Germany
| | - Walter T Strunz
- Institut für Theoretische Physik, TU Dresden, 01062 Dresden, Germany
| | - Volker Engel
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg, Hubland Campus Nord, Emil-Fischer-Str. 42, 97074 Würzburg, Germany
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59
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Martinez F, Hanna G. Assessment of approximate solutions of the quantum–classical Liouville equation for dynamics simulations of quantum subsystems embedded in classical environments. MOLECULAR SIMULATION 2014. [DOI: 10.1080/08927022.2014.923573] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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60
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Huynh TD, Sun KW, Gelin M, Zhao Y. Polaron dynamics in two-dimensional photon-echo spectroscopy of molecular rings. J Chem Phys 2014; 139:104103. [PMID: 24050324 DOI: 10.1063/1.4820135] [Citation(s) in RCA: 41] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We have developed a new approach to the computation of third-order spectroscopic signals of molecular rings, by incorporating the Davydov soliton theory into the nonlinear response function formalism. The Davydov D1 and D Ansätze have been employed to treat the interactions between the excitons and the primary phonons, allowing for a full description of arbitrary exciton-phonon coupling strengths. As an illustration, we have simulated a series of optical 2D spectra for two models of molecular rings.
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Affiliation(s)
- Thanh Duc Huynh
- School of Materials Science and Engineering, Nanyang Technological University, Singapore 639798
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61
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Egorova D. Oscillations in two-dimensional photon-echo signals of excitonic and vibronic systems: Stick-spectrum analysis and its computational verification. J Chem Phys 2014; 140:034314. [DOI: 10.1063/1.4861634] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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62
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Sharp LZ, Egorova D. Towards microscopic assignment of oscillative signatures in two-dimensional electronic photon-echo signals of vibronic oligomers: A vibronic dimer model. J Chem Phys 2013; 139:144304. [DOI: 10.1063/1.4822425] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/10/2023] Open
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63
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Krčmář J, Gelin MF, Domcke W. Calculation of third-order signals via driven Schrödinger equations: General results and application to electronic 2D photon echo spectroscopy. Chem Phys 2013. [DOI: 10.1016/j.chemphys.2013.01.002] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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64
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Zhang Z, Wells KL, Seidel MT, Tan HS. Fifth-order three-dimensional electronic spectroscopy using a pump-probe configuration. J Phys Chem B 2013; 117:15369-85. [PMID: 23808641 DOI: 10.1021/jp4046403] [Citation(s) in RCA: 27] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
We present the theoretical details and experimental demonstration of fifth-order three-dimensional (3D) electronic spectroscopy using a pump-probe beam geometry. This is achieved using a pulse shaper and appropriate phase cycling schemes. We show how 8-step and 27-step phase cycling schemes can measure purely absorptive 3D spectra as well as 3D spectra for the individual fifth-order processes that contribute to the purely absorptive spectrum. 3D spectra as a function of two separate controllable waiting time periods can be obtained. The peak shapes and positions of the peaks in the experimental measurement correspond well to theory.
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Affiliation(s)
- Zhengyang Zhang
- Division of Chemistry and Biological Chemistry, School of Physical and Mathematical Sciences, Nanyang Technological University , 21 Nanyang Link, Singapore 637371
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65
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Martinez F, Rekik N, Hanna G. Simulation of nonlinear optical signals via approximate solutions of the quantum–classical Liouville equation: Application to the pump–probe spectroscopy of a condensed phase electron transfer reaction. Chem Phys Lett 2013. [DOI: 10.1016/j.cplett.2013.04.018] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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66
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Monitoring bipartite entanglement in hybrid carbon nanotube systems via optical 2D photon-echo spectroscopy. Chem Phys 2013. [DOI: 10.1016/j.chemphys.2012.09.027] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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67
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Yang M. Time-averaging approximation in the interaction picture: Anisotropy of vibrational pump-probe experiments for coupled chromophores with application to liquid water. J Chem Phys 2012; 137:154102. [DOI: 10.1063/1.4758453] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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68
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Schubert A, Engel V. Two-dimensional vibronic spectroscopy of coherent wave-packet motion. J Chem Phys 2012; 134:104304. [PMID: 21405162 DOI: 10.1063/1.3560165] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We theoretically study two-dimensional (2D) spectroscopic signals obtained from femtosecond pulse interactions with diatomic molecules. The vibrational wave-packet dynamics is monitored in the signals. During the motion in anharmonic potentials the wave packets exhibit vibrational revivals and fractional revivals which are associated with particular quantum phases. The time-dependent phase changes are identified by inspection of the complex-valued 2D spectra. We use the Na(2) molecule as a numerical example and discuss various pulse sequences which yield information about vibrational level structure and phase relationships in different electronic states.
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Affiliation(s)
- Alexander Schubert
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg, Würzburg, Germany
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69
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Abstract
Abstract
We theoretically study interference effects in two-dimensional (2D) vibronic spectra which arise from two electronically excited states taking part in the multi-photon process initiated by femtosecond laser pulses. Therefore, a model is employed which mimiques the situation encountered in many halogen and interhalogen molecules. There, upon excitation from the ground state, an excited bound state and a dissociative state exist which are close in energy. We demonstrate that the different pathways to final states which enter into the third-order polarization result in pronounced interference patterns in the 2D-spectra.
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Affiliation(s)
- Alexander Schubert
- Universität Würzburg, Institut für Physikalische und Theoretische Chemie, Würzburg, Deutschland
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70
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Gelin MF, Egorova D, Domcke W. Optical N-wave-mixing spectroscopy with strong and temporally well-separated pulses: the doorway-window representation. J Phys Chem B 2011; 115:5648-58. [PMID: 21425818 DOI: 10.1021/jp112055h] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/29/2023]
Abstract
We have extended the doorway-window representation of optical pump-probe spectroscopy with weak pulses toward N-wave-mixing spectroscopy with temporally well-separated pulses of arbitrary strength. The expressions for the signals in the strong-pulse doorway-window representation are derived in the framework of the nonperturbative theory of N-wave-mixing spectroscopy. The strong-pulse doorway-window representation is complementary to the equation-of-motion phase-matching approach. The latter fully accounts for pulse-overlap effects in signals induced by weak pulses but is computationally more expensive. The performance of the doorway-window approximation for temporally well-separated strong pulses is illustrated for an electronic two-level system with an underdamped Condon-active vibrational mode.
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Affiliation(s)
- Maxim F Gelin
- Department of Chemistry, Technische Universität München, D-85747 Garching, Germany
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71
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Sharp LZ, Egorova D, Domcke W. Efficient and accurate simulations of two-dimensional electronic photon-echo signals: Illustration for a simple model of the Fenna–Matthews–Olson complex. J Chem Phys 2010; 132:014501. [DOI: 10.1063/1.3268705] [Citation(s) in RCA: 39] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/30/2023] Open
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72
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Gelin MF, Egorova D, Domcke W. Efficient calculation of the polarization induced by N coherent laser pulses. J Chem Phys 2009; 131:194103. [DOI: 10.1063/1.3265213] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/01/2023] Open
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