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Werther M, Choudhury SL, Großmann F. Coherent state based solutions of the time-dependent Schrödinger equation: hierarchy of approximations to the variational principle. INT REV PHYS CHEM 2020. [DOI: 10.1080/0144235x.2020.1823168] [Citation(s) in RCA: 14] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- Michael Werther
- Max-Planck-Institut für Physik Komplexer Systeme, Dresden, Germany
- Institut für Theoretische Physik, Technische Universität Dresden, Dresden, Germany
| | | | - Frank Großmann
- Institut für Theoretische Physik, Technische Universität Dresden, Dresden, Germany
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2
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Yang L, Reimers JR, Kobayashi R, Hush NS. Competition between charge migration and charge transfer induced by nuclear motion following core ionization: Model systems and application to Li 2. J Chem Phys 2019; 151:124108. [PMID: 31575213 DOI: 10.1063/1.5117246] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Attosecond and femtosecond spectroscopies present opportunities for the control of chemical reaction dynamics and products, as well as for quantum information processing; we address the somewhat unique situation of core-ionization spectroscopy which, for dimeric chromophores, leads to strong valence charge localization and hence tightly paired potential-energy surfaces of very similar shape. Application is made to the quantum dynamics of core-ionized Li2 +. This system is chosen as Li2 is the simplest stable molecule facilitating both core ionization and valence ionization. First, the quantum dynamics of some model surfaces are considered, with the surprising result that subtle differences in shape between core-ionization paired surfaces can lead to dramatic differences in the interplay between electronic charge migration and charge transfer induced by nuclear motion. Then, equation-of-motion coupled-cluster calculations are applied to determine potential-energy surfaces for 8 core-excited state pairs, calculations believed to be the first of their type for other than the lowest-energy core-ionized molecular pair. While known results for the lowest-energy pair suggest that Li2 + is unsuitable for studying charge migration, higher-energy pairs are predicted to yield results showing competition between charge migration and charge transfer. Central is a focus on the application of Hush's 1975 theory for core-ionized X-ray photoelectron spectroscopy to understand the shapes of the potential-energy surfaces and hence predict key features of charge migration.
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Affiliation(s)
- Likun Yang
- International Centre for Quantum and Molecular Structures and Department of Physics, Shanghai University, Shanghai 200444, China
| | - Jeffrey R Reimers
- School of Mathematical and Physical Sciences, University of Technology Sydney, Sydney, NSW 2007, Australia
| | - Rika Kobayashi
- International Centre for Quantum and Molecular Structures and Department of Physics, Shanghai University, Shanghai 200444, China
| | - Noel S Hush
- School of Molecular Biosciences, The University of Sydney, Sydney, NSW 2006, Australia
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Yuen-Zhou J, Krich JJ, Aspuru-Guzik A. A witness for coherent electronic vs vibronic-only oscillations in ultrafast spectroscopy. J Chem Phys 2012; 136:234501. [DOI: 10.1063/1.4725498] [Citation(s) in RCA: 41] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022] Open
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4
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Møller KB, Henriksen NE. Time-Resolved X-Ray Diffraction: The Dynamics of the Chemical Bond. MOLECULAR ELECTRONIC STRUCTURES OF TRANSITION METAL COMPLEXES I 2011. [DOI: 10.1007/430_2011_58] [Citation(s) in RCA: 27] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/14/2022]
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5
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Henriksen NE, Møller KB. On the Theory of Time-Resolved X-ray Diffraction. J Phys Chem B 2007; 112:558-67. [DOI: 10.1021/jp075497e] [Citation(s) in RCA: 55] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/14/2023]
Affiliation(s)
- Niels E. Henriksen
- CMM, Department of Chemistry, Building 207, Technical University of Denmark, DK-2800 Kgs. Lyngby, Denmark
| | - Klaus B. Møller
- CMM, Department of Chemistry, Building 207, Technical University of Denmark, DK-2800 Kgs. Lyngby, Denmark
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6
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Tiwari AK, Møller KB, Henriksen NE. Controlling the spreading of wave packets of a dissociating molecule. Chem Phys Lett 2007. [DOI: 10.1016/j.cplett.2007.10.093] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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7
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Symmetry of nonlinear optical response to time inversion of shaped femtosecond pulses as a clock of ultrafast dynamics. Chem Phys 2007. [DOI: 10.1016/j.chemphys.2007.04.027] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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8
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Yang S, Cao J, Field RW. A semiclassical study of wave packet dynamics in anharmonic potentials. J Chem Phys 2004; 121:6599-607. [PMID: 15473714 DOI: 10.1063/1.1791131] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Classical and semiclassical methods are developed to calculate and invert the wave packet motion measured in pump-probe experiments. With classical propagation of the Wigner distribution of the initial wave packet created by the pump pulse, we predict the approximate probe signal with slightly displaced recurrence peaks, and derive a set of first-order canonical perturbation expressions to relate the temporal features of the signal to the characteristics of the potential surface. A reduced dynamics scheme based on the Gaussian assumption leads to the correct center of mass motion but does not describe the evolution of the shape of the wave packet accurately. To incorporate the quantum interference into classical trajectories, we propose a final-value representation semiclassical method, specifically designed for the purpose of computing pump-probe signals, and demonstrate its efficiency and accuracy with a Morse oscillator and two kinetically coupled Morse oscillators. For the case of one-color pump probe, a simple phase-space quantization scheme is devised to reproduce the temporal profile at the left-turning point without actual wave packet propagation, revealing a quantum mechanical perspective of the nearly classical pump-probe signal.
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Affiliation(s)
- Shilong Yang
- Department of Chemistry, Massachusetts Institute of Technology Cambridge, Massachusetts 02139, USA
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Gräfe S, Scheidel D, Engel V, Henriksen NE, Møller KB. Approaches to Wave Packet Imaging Using Femtosecond Ionization Spectroscopy. J Phys Chem A 2004. [DOI: 10.1021/jp040230q] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022]
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10
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Manescu C, Krause JL, Møller KB, Henriksen NE. Suppressing the Spreading of Continuum Wave Packets via Chirped Laser Pulses. J Phys Chem A 2004. [DOI: 10.1021/jp049077q] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Corneliu Manescu
- Quantum Theory Project, University of Florida, P.O. Box 118435, Gainesville, Florida 32611-8435, and Department of Chemistry, Building 207, Technical University of Denmark, DK-2800 Kgs. Lyngby, Denmark
| | - Jeffrey L. Krause
- Quantum Theory Project, University of Florida, P.O. Box 118435, Gainesville, Florida 32611-8435, and Department of Chemistry, Building 207, Technical University of Denmark, DK-2800 Kgs. Lyngby, Denmark
| | - Klaus B. Møller
- Quantum Theory Project, University of Florida, P.O. Box 118435, Gainesville, Florida 32611-8435, and Department of Chemistry, Building 207, Technical University of Denmark, DK-2800 Kgs. Lyngby, Denmark
| | - Niels E. Henriksen
- Quantum Theory Project, University of Florida, P.O. Box 118435, Gainesville, Florida 32611-8435, and Department of Chemistry, Building 207, Technical University of Denmark, DK-2800 Kgs. Lyngby, Denmark
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Banerjee S, Gangopadhyay G. Radiative decay of nonstationary system. J Chem Phys 2004; 120:6152-62. [PMID: 15267501 DOI: 10.1063/1.1650300] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
When a finite quantum system, say a fluorescent molecule is attached to a bulk surface and excited by a short laser pulse, the decay dynamics of the system is modulated by the surface and the signal is enhanced due to the bulk surface. We have considered the decay dynamics of a model of displaced distorted molecule whose excited potential surface is coupled to a continuum and then this first continuum is in turn coupled to a second continuum. In the short time scale there is a coherent exchange of energy between the system molecule and the first continuum states. In the long time scale the energy of the whole system plus first continuum drains out to the final continuum states. A dendrimer nanocomposite with the gold surface shows an enhanced light emission. This can be qualitatively understood from the model we proposed here. We have numerically studied the various potential parameters of the molecule which can affect the signal. When the potential surfaces are flat, the band structure of the first continuum states along with its initial excitation has some nontrivial effect on the profile of the radiative decay.
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Affiliation(s)
- Sumana Banerjee
- S.N. Bose National Centre for Basic Sciences, JD Block, Sector-III, Salt Lake, Kolkata-700098, India.
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12
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Henriksen NE, Møller KB. Instantaneous nonvertical electronic transitions with shaped femtosecond laser pulses: Is it possible? J Chem Phys 2003. [DOI: 10.1063/1.1586701] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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13
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Ohtsuki Y, Ohara K, Abe M, Nakagami K, Fujimura Y. New quantum control pathway for a coupled-potential system. Chem Phys Lett 2003. [DOI: 10.1016/s0009-2614(02)02030-4] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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14
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Grimberg BI, Lozovoy VV, Dantus M, Mukamel S. Ultrafast Nonlinear Spectroscopic Techniques in the Gas Phase and Their Density Matrix Representation. J Phys Chem A 2002. [DOI: 10.1021/jp010451l] [Citation(s) in RCA: 60] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/07/2023]
Affiliation(s)
- Bruna I. Grimberg
- Department of Chemistry and Center for Fundamental Materials Research, Michigan State University, East Lansing, Michigan 48824
| | - Vadim V. Lozovoy
- Department of Chemistry and Center for Fundamental Materials Research, Michigan State University, East Lansing, Michigan 48824
| | - Marcos Dantus
- Department of Chemistry and Center for Fundamental Materials Research, Michigan State University, East Lansing, Michigan 48824
| | - Shaul Mukamel
- Department of Chemistry and Rochester Theory Center for Optical Science and Engineering, University of Rochester, P.O. RC Box 270216, Rochester, New York 14627
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Møller KB, Zewail AH. Kinetics modeling of dynamics: the case of femtosecond-activated direct reactions. Chem Phys Lett 2002. [DOI: 10.1016/s0009-2614(01)01380-x] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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16
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Andersson R, Kadi M, Davidsson J, Hansson T. Photoionisation of molecular wavepackets – the NaK(C1Σ+) case. Chem Phys Lett 2002. [DOI: 10.1016/s0009-2614(01)01411-7] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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17
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Møller KB, Henriksen NE, Zewail AH. On the role of coherence in the transition from kinetics to dynamics: Theory and application to femtosecond unimolecular reactions. J Chem Phys 2000. [DOI: 10.1063/1.1323729] [Citation(s) in RCA: 33] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022] Open
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18
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Cao J, Bardeen CJ, Wilson KR. Molecular π pulses: Population inversion with positively chirped short pulses. J Chem Phys 2000. [DOI: 10.1063/1.481993] [Citation(s) in RCA: 58] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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19
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Engel V, Henriksen NE. Mapping of wave packets in direct fragmentation via pump–probe frequency integrated fluorescence spectroscopy. J Chem Phys 2000. [DOI: 10.1063/1.480566] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/05/2023] Open
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20
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Henriksen NE, Engel V. On the deconvolution of the temporal width of laser pulses from pump–probe signals. J Chem Phys 1999. [DOI: 10.1063/1.480399] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/06/2023] Open
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21
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Møller KB, Zewail AH. Femtosecond dynamics of transition states: the classical saddle-point barrier reactions. Chem Phys Lett 1998. [DOI: 10.1016/s0009-2614(98)00927-0] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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22
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23
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Uberna R, Khalil M, Williams RM, Papanikolas JM, Leone SR. Phase and amplitude control in the formation and detection of rotational wave packets in the E 1Σg+ state of Li2. J Chem Phys 1998. [DOI: 10.1063/1.476381] [Citation(s) in RCA: 38] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/19/2023] Open
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24
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Cao J, Che J, Wilson KR. Intrapulse Dynamical Effects in Multiphoton Processes: Theoretical Analysis. J Phys Chem A 1998. [DOI: 10.1021/jp973097t] [Citation(s) in RCA: 24] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Jianshu Cao
- Department of Chemistry and Biochemistry, University of California, San Diego, LaJolla, California 92093-0339
| | - Jianwei Che
- Department of Chemistry and Biochemistry, University of California, San Diego, LaJolla, California 92093-0339
| | - Kent R. Wilson
- Department of Chemistry and Biochemistry, University of California, San Diego, LaJolla, California 92093-0339
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25
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Yakovlev VV, Bardeen CJ, Che J, Cao J, Wilson KR. Chirped pulse enhancement of multiphoton absorption in molecular iodine. J Chem Phys 1998. [DOI: 10.1063/1.475615] [Citation(s) in RCA: 64] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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26
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Seideman T. Time-resolved photoelectron angular distributions: A nonperturbative theory. J Chem Phys 1997. [DOI: 10.1063/1.475098] [Citation(s) in RCA: 52] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/14/2022] Open
Affiliation(s)
- Tamar Seideman
- Institute for Theoretical Atomic and Molecular Physics, Harvard-Smithsonian Center, Harvard University, Cambridge, Massachusetts 02138, Steacie Institute,K1A 0R6, Canada
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27
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Cao J, Wilson KR. A simple physical picture for quantum control of wave packet localization. J Chem Phys 1997. [DOI: 10.1063/1.475151] [Citation(s) in RCA: 48] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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