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Title: A two-layer approach to the coupled coherent states method

Abstract

In this paper, a two-layer scheme is outlined for the coupled coherent states (CCS) method, dubbed two-layer CCS (2L-CCS). The theoretical framework is motivated by that of the multiconfigurational Ehrenfest method, where different dynamical descriptions are used for different subsystems of a quantum mechanical system. This leads to a flexible representation of the wavefunction, making the method particularly suited to the study of composite systems. It was tested on a 20-dimensional asymmetric system-bath tunnelling problem, with results compared to a benchmark calculation, as well as existing CCS, matching-pursuit/split-operator Fourier transform, and configuration interaction expansion methods. The two-layer method was found to lead to improved short and long term propagation over standard CCS, alongside improved numerical efficiency and parallel scalability. These promising results provide impetus for future development of the method for on-the-fly direct dynamics calculations.

Authors:
;  [1]
  1. Instituto de Física “Gleb Wataghin,” Universidade Estadual de Campinas, 13083-859 Campinas, SP (Brazil)
Publication Date:
OSTI Identifier:
22493634
Resource Type:
Journal Article
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 144; Journal Issue: 2; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-9606
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY; ANNIHILATION OPERATORS; ASYMMETRY; BENCHMARKS; COMPARATIVE EVALUATIONS; CONFIGURATION INTERACTION; EFFICIENCY; EIGENSTATES; EXPANSION; FOURIER TRANSFORMATION; LAYERS; QUANTUM MECHANICS; TUNNEL EFFECT; WAVE FUNCTIONS

Citation Formats

Green, James A., E-mail: cmjg@leeds.ac.uk, Ronto, Miklos, Shalashilin, Dmitrii V., E-mail: d.shalashilin@leeds.ac.uk, and Grigolo, Adriano. A two-layer approach to the coupled coherent states method. United States: N. p., 2016. Web. doi:10.1063/1.4939205.
Green, James A., E-mail: cmjg@leeds.ac.uk, Ronto, Miklos, Shalashilin, Dmitrii V., E-mail: d.shalashilin@leeds.ac.uk, & Grigolo, Adriano. A two-layer approach to the coupled coherent states method. United States. https://doi.org/10.1063/1.4939205
Green, James A., E-mail: cmjg@leeds.ac.uk, Ronto, Miklos, Shalashilin, Dmitrii V., E-mail: d.shalashilin@leeds.ac.uk, and Grigolo, Adriano. 2016. "A two-layer approach to the coupled coherent states method". United States. https://doi.org/10.1063/1.4939205.
@article{osti_22493634,
title = {A two-layer approach to the coupled coherent states method},
author = {Green, James A., E-mail: cmjg@leeds.ac.uk and Ronto, Miklos and Shalashilin, Dmitrii V., E-mail: d.shalashilin@leeds.ac.uk and Grigolo, Adriano},
abstractNote = {In this paper, a two-layer scheme is outlined for the coupled coherent states (CCS) method, dubbed two-layer CCS (2L-CCS). The theoretical framework is motivated by that of the multiconfigurational Ehrenfest method, where different dynamical descriptions are used for different subsystems of a quantum mechanical system. This leads to a flexible representation of the wavefunction, making the method particularly suited to the study of composite systems. It was tested on a 20-dimensional asymmetric system-bath tunnelling problem, with results compared to a benchmark calculation, as well as existing CCS, matching-pursuit/split-operator Fourier transform, and configuration interaction expansion methods. The two-layer method was found to lead to improved short and long term propagation over standard CCS, alongside improved numerical efficiency and parallel scalability. These promising results provide impetus for future development of the method for on-the-fly direct dynamics calculations.},
doi = {10.1063/1.4939205},
url = {https://www.osti.gov/biblio/22493634}, journal = {Journal of Chemical Physics},
issn = {0021-9606},
number = 2,
volume = 144,
place = {United States},
year = {Thu Jan 14 00:00:00 EST 2016},
month = {Thu Jan 14 00:00:00 EST 2016}
}