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Schürger P, Schaupp T, Kaiser D, Engels B, Engel V. Wave packet dynamics in an harmonic potential disturbed by disorder: Entropy, uncertainty, and vibrational revivals. J Chem Phys 2022; 156:054303. [DOI: 10.1063/5.0079938] [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
Affiliation(s)
- Peter Schürger
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg, Emil-Fischer-Str. 42, 97074 Würzburg, Germany
| | - Thomas Schaupp
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg, Emil-Fischer-Str. 42, 97074 Würzburg, Germany
| | - Dustin Kaiser
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg, Emil-Fischer-Str. 42, 97074 Würzburg, Germany
| | - Bernd Engels
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg, Emil-Fischer-Str. 42, 97074 Würzburg, Germany
| | - Volker Engel
- Institut für Physikalische und Theoretische Chemie, Universität Würzburg, Emil-Fischer-Str. 42, 97074 Würzburg, Germany
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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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Long J, Liu Y, Qin C, Zhang S, Zhang B. Real-time visualization of the dynamic evolution of CS2 4d and 6s Rydberg wave packet components. OPTICS EXPRESS 2011; 19:4542-4552. [PMID: 21369286 DOI: 10.1364/oe.19.004542] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/30/2023]
Abstract
The dynamic evolution of CS2 4d and 6s Rydberg wave packet components has been experimentally visualized via femtosecond time-resolved photoelectron imaging coupled with time-resolved mass spectroscopy. The temporal evolution of the four components of the prepared Rydberg wave packet is directly observed as time-dependent changes of the intensities of different parts in the main photoelectron peak. Furthermore, time-resolved photoelectron angular distributions (PADs) clearly reflect the different component characters of 4d and 6s molecular orbitals. The lifetime of Rydberg wave packets is determined to be about 830fs and their decay is attributed to predissociation. Our results suggest the possibility of directly visualizing and determining the amplitudes and relative phases of different electronic and vibrational wave packet components in polyatomic molecules.
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Affiliation(s)
- Jinyou Long
- State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences-Wuhan, National Laboratory for Optoelectronics, Wuhan, Hubei 430071, China
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Lausten R, Smirnova O, Sussman BJ, Gräfe S, Mouritzen AS, Stolow A. Time- and frequency-resolved coherent anti-Stokes Raman scattering spectroscopy with sub-25fs laser pulses. J Chem Phys 2008; 128:244310. [DOI: 10.1063/1.2932101] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/15/2023] Open
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Katsuki H, Chiba H, Girard B, Meier C, Ohmori K. Visualizing Picometric Quantum Ripples of Ultrafast Wave-Packet Interference. Science 2006; 311:1589-92. [PMID: 16543456 DOI: 10.1126/science.1121240] [Citation(s) in RCA: 110] [Impact Index Per Article: 6.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/02/2022]
Abstract
Interference fringes in vibrating molecules are a signature of quantum mechanics, but are often so short-lived and closely spaced that they elude visualization. We have experimentally visualized dynamical quantum interferences, which appear and disappear in less than 100 femtoseconds in the iodine molecule synchronously with the periodic crossing of two counterpropagating nuclear wave packets. The obtained images have picometer and femtosecond spatiotemporal resolution, representing a detailed picture of the quantum interference.
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Affiliation(s)
- Hiroyuki Katsuki
- Institute for Molecular Science, Myodaiji, Okazaki 444-8585, Japan
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Meier C. Mixed quantum-classical treatment of vibrational decoherence. PHYSICAL REVIEW LETTERS 2004; 93:173003. [PMID: 15525072 DOI: 10.1103/physrevlett.93.173003] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/18/2004] [Indexed: 05/24/2023]
Abstract
The mixed quantum-classical method based on the Bohmian formulation of quantum mechanics [J. Chem. Phys. 113, 9369 (2000)]] is applied to study the process of vibrational decoherence of I2 in a dense helium environment. Specifically, the revival of vibrational wave packets, detectable by pump-probe spectroscopy, is a quantum phenomena which depends sensitively on the coherence between the vibrational levels excited by the pump pulse. The time-dependent pump-probe revival signal is a very sensitive way of detecting vibrational dephasing induced by an environment. The very good agreement between previous experimental signals and calculations presented in ths work confirms the theoretical approach and provides a promising basis for the prediction and interpretation of future experiments exploiting quantum revivals as a probe of decoherence.
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Affiliation(s)
- C Meier
- Laboratoire Collisions, Agrégats, Réactivité, Institut de Recherche sur les Systèmes Atomiques et Moléculaires Complexes, Université Paul Sabatier, 31062 Toulouse, France
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Lohmüller T, Engel V, Beswick JA, Meier C. Fractional revivals in the rovibrational motion of I2. J Chem Phys 2004; 120:10442-9. [PMID: 15268072 DOI: 10.1063/1.1711809] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/04/2023] Open
Abstract
Motivated by pump-probe experiments of I(2) in a room-temperature sample, the detection of fractional revivals is investigated using full-dimensional quantum wave packet calculations. It is shown that the structures observed in the pump-probe signal depend sensitively on the probe parameters employed and that the observed signal reflects a particular phase effect between fractional revivals.
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Affiliation(s)
- T Lohmüller
- Institut für Physikalische Chemie, Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany
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Erdmann M, Marquetand P, Engel V. Combined electronic and nuclear dynamics in a simple model system. J Chem Phys 2003. [DOI: 10.1063/1.1578618] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Ermoshin V, Erdmann M, Engel V. Fermi–Pasta–Ulam recurrences, normal modes and wave-packet revivals. Chem Phys Lett 2002. [DOI: 10.1016/s0009-2614(02)00285-3] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Ermoshin VA, Engel V, Kazansky AK. Phase and Energy Relaxation of Vibrational Motion and Its Manifestation in Femtosecond Pump−Probe Experiments on I2 in Rare Gas Environments. J Phys Chem A 2001. [DOI: 10.1021/jp004408u] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/18/2023]
Affiliation(s)
- V. A. Ermoshin
- Institut für Physikalische Chemie, Universität Würzburg Am Hubland, 97074 Würzburg, Germany
| | - V. Engel
- Institut für Physikalische Chemie, Universität Würzburg Am Hubland, 97074 Würzburg, Germany
| | - A. K. Kazansky
- Fock Institute of Physics, The University of St. Petersburg, 198504 St. Petersburg, Russia
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Ermoshin V, Engel V. Molecular Dynamics Simulation of Femtosecond Pump-Probe Experiments on I2 in Ar Environments. Z PHYS CHEM 2000. [DOI: 10.1524/zpch.2000.214.9.1265] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
Abstract
We present the application of classical molecular dynamics methods to the simulation of femtosecond time-resolved experiments. Choosing I
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Ermoshin VA, Kazansky AK, Engel V. Quantum-classical molecular dynamics simulation of femtosecond spectroscopy on I2 in inert gases: Mechanisms for the decay of pump–probe signals. J Chem Phys 1999. [DOI: 10.1063/1.480116] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/21/2023] Open
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Affiliation(s)
- S. Meyer
- Institut für Physikalische Chemie, Universität Würzburg, Am Hubland, 97074 Würzburg, Germany
| | - V. Engel
- Institut für Physikalische Chemie, Universität Würzburg, Am Hubland, 97074 Würzburg, Germany
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Leichtle C, Averbukh IS, Schleich WP. Multilevel quantum beats: An analytical approach. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1996; 54:5299-5312. [PMID: 9914098 DOI: 10.1103/physreva.54.5299] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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