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It was recently shown [Phys. Rev. Lett. 105, 123002 (2010)] that the complete wavefunction for a system of electrons and nuclei evolving in a time-dependent external potential can be exactly factorized into an electronic wavefunction and a…

Chemical Physics · Physics 2015-06-11 Ali Abedi , Neepa T. Maitra , E. K. U. Gross

We present an exact decomposition of the complete wavefunction for a system of nuclei and electrons evolving in a time-dependent external potential. We derive formally exact equations for the nuclear and electronic wavefunctions that lead…

Other Condensed Matter · Physics 2015-05-19 Ali Abedi , Neepa T. Maitra , E. K. U. Gross

We study the exact Time-Dependent Potential Energy Surface (TDPES) in the presence of strong non-adiabatic coupling between the electronic and nuclear motion. The concept of the TDPES emerges from the exact factorization of the full…

Chemical Physics · Physics 2013-02-07 Ali Abedi , Federica Agostini , Yasumitsu Suzuki , E. K. U. Gross

The exact factorization of an electron-nuclear wavefunction [A. Abedi, N. T. Maitra, and E. K. U. Gross, Phys. Rev. Lett. 105, 123002 (2010)] allows us to define the rigorous nuclear time-dependent Schr\"{o}dinger equation (TDSE) with a…

Chemical Physics · Physics 2016-11-03 Yasumitsu Suzuki , Kazuyuki Watanabe

We develop a novel approach to the coupled motion of electrons and ions that focuses on the dynamics of the electronic subsystem. Usually the description of electron dynamics involves an electronic Schr\"odinger equation where the nuclear…

Chemical Physics · Physics 2013-11-18 Yasumitsu Suzuki , Ali Abedi , Neepa T. Maitra , Koichi Yamashita , E. K. U. Gross

It was recently shown [G. Albareda, et al., Phys. Rev. Lett. 113, 083003 (2014)] that within the conditional decomposition approach to the coupled electron-nuclear dynamics, the electron-nuclear wave function can be exactly decomposed into…

Chemical Physics · Physics 2018-06-13 Guillermo Albareda , Ali Abedi , Ivano Tavernelli , Angel Rubio

The exact nuclear time-dependent potential energy surface arises from the exact decomposition of electronic and nuclear motion, recently presented in [A. Abedi, N. T. Maitra, and E. K. U. Gross, Phys. Rev. Lett. 105, 123002 (2010)]. Such…

Chemical Physics · Physics 2015-06-16 Federica Agostini , Ali Abedi , Yasumitsu Suzuki , E. K. U. Gross

Potential energy surfaces of electron dynamics (ePES) are constructed from a model of localized electron wave packets (eWP) with non-orthogonal valence-bond (VB) spin coupling and applied to quantum dynamics simulations of high harmonic…

Chemical Physics · Physics 2023-03-28 Koji Ando

The exact time-dependent potential energy surface driving the nuclear dynamics was recently shown to be a useful tool to understand and interpret the coupling of nuclei, electrons, and photons, in cavity settings. Here we provide a detailed…

Quantum Physics · Physics 2021-02-03 Phillip Martinez , Bart Rosenzweig , Norah M. Hoffmann , Lionel Lacombe , Neepa T. Maitra

We present a novel mixed quantum-classical approach to the coupled electron-nuclear dynamics based on the exact factorization of the electron-nuclear wave function, recently proposed in [A. Abedi, N. T. Maitra, and E. K. U. Gross, Phys.…

Chemical Physics · Physics 2015-06-18 Ali Abedi , Federica Agostini , E. K. U. Gross

Nonadiabatic quantum interferences emerge whenever nuclear wavefunctions in different electronic states meet and interact in a nonadiabatic region. In this work, we analyze how nonadiabatic quantum interferences translate in the context of…

Chemical Physics · Physics 2016-08-03 Basile F. E. Curchod , Federica Agostini , E. K. U. Gross

Conventional theoretical and computational approaches to fully coupled quantum molecular dynamics, i.e. when both the electrons and nuclei are treated as quantum-mechanical particles, are impractical for all but the smallest chemical…

Chemical Physics · Physics 2025-10-10 Julian Stetzler , Sophya Garashchuk , Vitaly A. Rassolov

The time-dependent complete-active-space self-consistent-field (TD-CASSCF) method for the description of multielectron dynamics in intense laser fields is presented, and a comprehensive description of the method is given. It introduces the…

Atomic Physics · Physics 2015-06-15 Takeshi Sato , Kenichi L. Ishikawa

The exact factorization of the time-dependent electron-nuclear wavefunction has been employed successfully in the field of quantum molecular dynamics simulations for interpreting and simulating light-induced ultrafast processes. In this…

Chemical Physics · Physics 2021-09-29 Federica Agostini , E. K. U. Gross

In this study, we utilize intense laser pulses and advanced quantum mechanical frameworks to investigate the behavior of high-velocity electrons within magnetized plasma environments. The focus of our research is placed within the context…

Plasma Physics · Physics 2024-12-31 B. S. Sharma , Garima Yadav , N. K. Jaiman , D. N. Gupta

The exact exchange potential in time-dependent density-functional theory is defined as an orbital functional through the time-dependent optimized effective potential (TDOEP) method. We numerically solve the TDOEP integral equation for the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 H. O. Wijewardane , C. A. Ullrich

We report the implementation of a cost-effective approximation method within the framework of time-dependent optimized coupled-cluster (TD-OCC) method [J. Chem. Phys. 148, 051101 (2018)] for real-time simulations of intense laser-driven…

Chemical Physics · Physics 2020-04-22 Himadri Pathak , Takeshi Sato , Kenichi L. Ishikawa

If one-electron observables of a many-electron system are of interest, a many-electron dynamics can be represented exactly by a one-electron dynamics with effective potentials. The formalism for this reduction is provided by the Exact…

Chemical Physics · Physics 2021-01-04 Jakub Kocák , Axel Schild

To further develop accurate and large-scale simulations of electrochemical interfaces, we propose a unified explicit electric potential framework to simultaneously predict atomic forces and electron density distributions. The framework…

Chemical Physics · Physics 2026-04-14 Jingwen Zhou , Yawen Yu , Xuwei Liu , Chungen Liu

We present an exact single-electron picture that describes the correlated electron dynamics in strong laser fields. Our approach is based on the factorization of the electronic wavefunction as a product of a marginal and a conditional…

Chemical Physics · Physics 2017-04-26 Axel Schild , E. K. U. Gross
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