51
|
Khosravi E, Abedi A, Rubio A, Maitra NT. Electronic non-adiabatic dynamics in enhanced ionization of isotopologues of hydrogen molecular ions from the exact factorization perspective. Phys Chem Chem Phys 2017; 19:8269-8281. [DOI: 10.1039/c6cp08539c] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
An exact-factorization perspective of enhanced ionization in isotopologues of H2+ demonstrates the concept of the exact potential driving the electrons in non-adiabatic motion of molecules in strong fields, and sets a new platform for introducing various approximations.
Collapse
Affiliation(s)
- Elham Khosravi
- Nano-Bio Spectroscopy Group and ETSF
- Universidad del País Vasco
- CFM CSIC-UPV/EHU
- 20018 San Sebastián
- Spain
| | - Ali Abedi
- Nano-Bio Spectroscopy Group and ETSF
- Universidad del País Vasco
- CFM CSIC-UPV/EHU
- 20018 San Sebastián
- Spain
| | - Angel Rubio
- Max Planck Institute for the Structure and Dynamics of Matter
- 22761 Hamburg
- Germany
- Nano-Bio Spectroscopy Group and ETSF
- Universidad del País Vasco
| | - Neepa T. Maitra
- Department of Physics and Astronomy
- Hunter College and the Graduate Center of the City University of New York
- New York
- USA
| |
Collapse
|
52
|
Eich FG, Agostini F. The adiabatic limit of the exact factorization of the electron-nuclear wave function. J Chem Phys 2016; 145:054110. [DOI: 10.1063/1.4959962] [Citation(s) in RCA: 36] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- F. G. Eich
- Max Planck Institute for the Structure and Dynamics of Matter, Luruper Chaussee 149, D-22761 Hamburg, Germany
| | - Federica Agostini
- Max Planck Institute of Microstructure Physics, Weinberg 2, D-06120 Halle, Germany
| |
Collapse
|
53
|
Curchod BFE, Agostini F, Gross EKU. An exact factorization perspective on quantum interferences in nonadiabatic dynamics. J Chem Phys 2016; 145:034103. [DOI: 10.1063/1.4958637] [Citation(s) in RCA: 37] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
|
54
|
Albert J, Kaiser D, Engel V. Communication: Adiabatic and non-adiabatic electron-nuclear motion: Quantum and classical dynamics. J Chem Phys 2016; 144:171103. [DOI: 10.1063/1.4948777] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Julian Albert
- Universität Würzburg, Institut für Physikalische und Theoretische Chemie, Emil-Fischer-Str. 42, Campus Nord, 97074 Würzburg, Germany
| | - Dustin Kaiser
- Universität Würzburg, Institut für Physikalische und Theoretische Chemie, Emil-Fischer-Str. 42, Campus Nord, 97074 Würzburg, Germany
| | - Volker Engel
- Universität Würzburg, Institut für Physikalische und Theoretische Chemie, Emil-Fischer-Str. 42, Campus Nord, 97074 Würzburg, Germany
| |
Collapse
|
55
|
Agostini F, Min SK, Abedi A, Gross EKU. Quantum-Classical Nonadiabatic Dynamics: Coupled- vs Independent-Trajectory Methods. J Chem Theory Comput 2016; 12:2127-43. [PMID: 27030209 DOI: 10.1021/acs.jctc.5b01180] [Citation(s) in RCA: 84] [Impact Index Per Article: 10.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Trajectory-based mixed quantum-classical approaches to coupled electron-nuclear dynamics suffer from well-studied problems such as the lack of (or incorrect account for) decoherence in the trajectory surface hopping method and the inability of reproducing the spatial splitting of a nuclear wave packet in Ehrenfest-like dynamics. In the context of electronic nonadiabatic processes, these problems can result in wrong predictions for quantum populations and in unphysical outcomes for the nuclear dynamics. In this paper, we propose a solution to these issues by approximating the coupled electronic and nuclear equations within the framework of the exact factorization of the electron-nuclear wave function. We present a simple quantum-classical scheme based on coupled classical trajectories and test it against the full quantum mechanical solution from wave packet dynamics for some model situations which represent particularly challenging problems for the above-mentioned traditional methods.
Collapse
Affiliation(s)
- Federica Agostini
- Max-Planck Institut für Mikrostrukturphysik , Weinberg 2, D-06120 Halle, Germany
| | - Seung Kyu Min
- Department of Chemistry, School of Natural Science, Ulsan National Institute of Science and Technology (UNIST) , 50 UNIST-gil, Ulsan 44919, Republic of Korea
| | - Ali Abedi
- Nano-Bio Spectroscopy group and European Theoretical Spectroscopy Facility (ETSF), Dpto. Física de Materiales, Universidad del País Vasco, Centro de Física de Materiales CSIC-UPV/EHU-MPC and DIPC , Av. Tolosa 72, E-20018 San Sebastián, Spain
| | - E K U Gross
- Max-Planck Institut für Mikrostrukturphysik , Weinberg 2, D-06120 Halle, Germany
| |
Collapse
|
56
|
Akimov AV. Libra: An open-Source “methodology discovery” library for quantum and classical dynamics simulations. J Comput Chem 2016; 37:1626-49. [DOI: 10.1002/jcc.24367] [Citation(s) in RCA: 51] [Impact Index Per Article: 6.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/05/2015] [Revised: 02/03/2016] [Accepted: 03/02/2016] [Indexed: 01/10/2023]
Affiliation(s)
- Alexey V. Akimov
- Department of Chemistry; University at Buffalo, the State University of New York; Buffalo, New York 14260-3000
| |
Collapse
|
57
|
Schild A, Agostini F, Gross EKU. Electronic Flux Density beyond the Born–Oppenheimer Approximation. J Phys Chem A 2016; 120:3316-25. [DOI: 10.1021/acs.jpca.5b12657] [Citation(s) in RCA: 39] [Impact Index Per Article: 4.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Axel Schild
- Max-Planck Institut für Mikrostrukturphysik, Weinberg 2, D-06120 Halle, Germany
| | - Federica Agostini
- Max-Planck Institut für Mikrostrukturphysik, Weinberg 2, D-06120 Halle, Germany
| | - E. K. U. Gross
- Max-Planck Institut für Mikrostrukturphysik, Weinberg 2, D-06120 Halle, Germany
| |
Collapse
|
58
|
Khosravi E, Abedi A, Maitra NT. Exact Potential Driving the Electron Dynamics in Enhanced Ionization of H(2)(+). PHYSICAL REVIEW LETTERS 2015; 115:263002. [PMID: 26764989 DOI: 10.1103/physrevlett.115.263002] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/06/2015] [Indexed: 06/05/2023]
Abstract
It was recently shown that the exact factorization of the electron-nuclear wave function allows the construction of a Schrödinger equation for the electronic system, in which the potential contains exactly the effect of coupling to the nuclear degrees of freedom and any external fields. Here we study the exact potential acting on the electron in charge-resonance enhanced ionization in a model one-dimensional H(2)(+) molecule. We show there can be significant differences between the exact potential and that used in the traditional quasistatic analyses, arising from nonadiabatic coupling to the nuclear system, and that these are crucial to include for accurate simulations of time-resolved ionization dynamics and predictions of the ionization yield.
Collapse
Affiliation(s)
- Elham Khosravi
- Department of Physics and Astronomy, Hunter College and the Graduate Center of the City University of New York, 695 Park Avenue, New York, New York 10065, USA
- Nano-Bio Spectroscopy Group and European Theoretical Spectroscopy Facility (ETSF), Universidad del País Vasco CFM CSIC-UPV/EHU-MPC and DIPC, Av. Tolosa 72, 20018 San Sebastián, Spain
| | - Ali Abedi
- Department of Physics and Astronomy, Hunter College and the Graduate Center of the City University of New York, 695 Park Avenue, New York, New York 10065, USA
- Nano-Bio Spectroscopy Group and European Theoretical Spectroscopy Facility (ETSF), Universidad del País Vasco CFM CSIC-UPV/EHU-MPC and DIPC, Av. Tolosa 72, 20018 San Sebastián, Spain
| | - Neepa T Maitra
- Department of Physics and Astronomy, Hunter College and the Graduate Center of the City University of New York, 695 Park Avenue, New York, New York 10065, USA
| |
Collapse
|
59
|
Suzuki Y, Abedi A, Maitra NT, Gross EKU. Laser-induced electron localization in H₂⁺: mixed quantum-classical dynamics based on the exact time-dependent potential energy surface. Phys Chem Chem Phys 2015; 17:29271-29280. [PMID: 26467353 DOI: 10.1039/c5cp03418c] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 08/02/2024]
Abstract
We study the exact nuclear time-dependent potential energy surface (TDPES) for laser-induced electron localization with a view to eventually developing a mixed quantum-classical dynamics method for strong-field processes. The TDPES is defined within the framework of the exact factorization [A. Abedi, N. T. Maitra, and E. K. U. Gross, Phys. Rev. Lett., 2010, 105, 123002] and contains the exact effect of the couplings to the electronic subsystem and to any external fields within a scalar potential. We compare its features with those of the quasistatic potential energy surfaces (QSPES) often used to analyse strong-field processes. We show that the gauge-independent component of the TDPES has a mean-field-like character very close to the density-weighted average of the QSPESs. Oscillations in this component are smoothened out by the gauge-dependent component, and both components are needed to yield the correct force on the nuclei. Once the localization begins to set in, the gradient of the exact TDPES tracks one QSPES and then switches to the other, similar to the description provided by surface-hopping between QSPESs. We show that evolving an ensemble of classical nuclear trajectories on the exact TDPES accurately reproduces the exact dynamics. This study suggests that the mixed quantum-classical dynamics scheme based on evolving multiple classical nuclear trajectories on the exact TDPES will be a novel and useful method to simulate strong field processes.
Collapse
Affiliation(s)
- Yasumitsu Suzuki
- Max-Planck Institut für Mikrostrukturphysik, Weinberg 2, D-06120 Halle, Germany
| | - Ali Abedi
- Max-Planck Institut für Mikrostrukturphysik, Weinberg 2, D-06120 Halle, Germany
- Department of Physics and Astronomy, Hunter College and the City University of New York, 695 Park Avenue, New York, New York 10065, USA
| | - Neepa T Maitra
- Department of Physics and Astronomy, Hunter College and the City University of New York, 695 Park Avenue, New York, New York 10065, USA
| | - E K U Gross
- Max-Planck Institut für Mikrostrukturphysik, Weinberg 2, D-06120 Halle, Germany
- European Theoretical Spectroscopy Facility (ETSF)
| |
Collapse
|
60
|
Scherrer A, Agostini F, Sebastiani D, Gross EKU, Vuilleumier R. Nuclear velocity perturbation theory for vibrational circular dichroism: An approach based on the exact factorization of the electron-nuclear wave function. J Chem Phys 2015; 143:074106. [DOI: 10.1063/1.4928578] [Citation(s) in RCA: 55] [Impact Index Per Article: 6.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Arne Scherrer
- Martin-Luther-University Halle-Wittenberg, von-Danckelmann-Platz 4, D-06120 Halle, Germany
- UMR 8640 ENS-CNRS-UPMC, Département de Chimie, 24 rue Lhomond, École Normale Supérieure, 75005 Paris, France
- UPMC Université Paris 06, 4, Place Jussieu, 75005 Paris, France
| | - Federica Agostini
- Max-Planck-Institute of Microstructure Physics, Weinberg 2, D-06120 Halle, Germany
| | - Daniel Sebastiani
- Martin-Luther-University Halle-Wittenberg, von-Danckelmann-Platz 4, D-06120 Halle, Germany
| | - E. K. U. Gross
- Max-Planck-Institute of Microstructure Physics, Weinberg 2, D-06120 Halle, Germany
| | - Rodolphe Vuilleumier
- UMR 8640 ENS-CNRS-UPMC, Département de Chimie, 24 rue Lhomond, École Normale Supérieure, 75005 Paris, France
- UPMC Université Paris 06, 4, Place Jussieu, 75005 Paris, France
| |
Collapse
|
61
|
Min SK, Agostini F, Gross EKU. Coupled-Trajectory Quantum-Classical Approach to Electronic Decoherence in Nonadiabatic Processes. PHYSICAL REVIEW LETTERS 2015; 115:073001. [PMID: 26317716 DOI: 10.1103/physrevlett.115.073001] [Citation(s) in RCA: 92] [Impact Index Per Article: 10.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/01/2015] [Indexed: 06/04/2023]
Abstract
We present a novel quantum-classical approach to nonadiabatic dynamics, deduced from the coupled electronic and nuclear equations in the framework of the exact factorization of the electron-nuclear wave function. The method is based on the quasiclassical interpretation of the nuclear wave function, whose phase is related to the classical momentum and whose density is represented in terms of classical trajectories. In this approximation, electronic decoherence is naturally induced as an effect of the coupling to the nuclei and correctly reproduces the expected quantum behavior. Moreover, the splitting of the nuclear wave packet is captured as a consequence of the correct approximation of the time-dependent potential of the theory. This new approach offers a clear improvement over Ehrenfest-like dynamics. The theoretical derivation presented in this Letter is supported by numerical results that are compared to quantum mechanical calculations.
Collapse
Affiliation(s)
- Seung Kyu Min
- Max-Planck Institut für Mikrostrukturphysik, Weinberg 2, D-06120 Halle, Germany
- Department of Chemistry, School of Natural Science, Ulsan National Institute of Science and Technology (UNIST), Ulsan 689-798, Korea
| | - Federica Agostini
- Max-Planck Institut für Mikrostrukturphysik, Weinberg 2, D-06120 Halle, Germany
| | - E K U Gross
- Max-Planck Institut für Mikrostrukturphysik, Weinberg 2, D-06120 Halle, Germany
| |
Collapse
|
62
|
Albert J, Falge M, Gomez S, Sola IR, Hildenbrand H, Engel V. Communication: Vibrational and vibronic coherences in the two dimensional spectroscopy of coupled electron-nuclear motion. J Chem Phys 2015; 143:041102. [DOI: 10.1063/1.4927396] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/28/2022] Open
Affiliation(s)
- Julian Albert
- Universität Würzburg, Institut für Physikalische und Theoretische Chemie, Emil-Fischer-Str. 42, Campus Nord, Am Hubland, 97074 Würzburg, Germany
| | - Mirjam Falge
- Universität Würzburg, Institut für Physikalische und Theoretische Chemie, Emil-Fischer-Str. 42, Campus Nord, Am Hubland, 97074 Würzburg, Germany
| | - Sandra Gomez
- Departamento de Quimica Fisica, Universidad Complutense, 28040 Madrid, Spain
| | - Ignacio R. Sola
- Departamento de Quimica Fisica, Universidad Complutense, 28040 Madrid, Spain
| | - Heiko Hildenbrand
- Universität Würzburg, Institut für Physikalische und Theoretische Chemie, Emil-Fischer-Str. 42, Campus Nord, Am Hubland, 97074 Würzburg, Germany
| | - Volker Engel
- Universität Würzburg, Institut für Physikalische und Theoretische Chemie, Emil-Fischer-Str. 42, Campus Nord, Am Hubland, 97074 Würzburg, Germany
| |
Collapse
|