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A two-layer approach to the coupled coherent states method.

James A Green1, Adriano Grigolo2, Miklos Ronto1

  • 1School of Chemistry, University of Leeds, Leeds LS2 9JT, United Kingdom.

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|January 17, 2016
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Summary

A new two-layer coupled coherent states (2L-CCS) method improves quantum system dynamics calculations. This approach enhances propagation accuracy and efficiency for complex systems compared to standard methods.

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Area of Science:

  • Quantum mechanics
  • Computational chemistry
  • Theoretical chemistry

Background:

  • The multiconfigurational Ehrenfest method provides a flexible framework for describing quantum systems with multiple subsystems.
  • Coupled coherent states (CCS) methods offer a way to represent wavefunctions for composite quantum systems.

Purpose of the Study:

  • To introduce and evaluate a novel two-layer scheme for the coupled coherent states (CCS) method, termed 2L-CCS.
  • To assess the performance of 2L-CCS for quantum dynamics simulations, particularly for composite systems.

Main Methods:

  • Development of the two-layer coupled coherent states (2L-CCS) theoretical framework, inspired by the multiconfigurational Ehrenfest method.
  • Application and testing of 2L-CCS on a 20-dimensional asymmetric system-bath tunnelling problem.
  • Comparison of 2L-CCS results against benchmark calculations and other established methods (CCS, MP-SOFIT, CI).

Main Results:

  • The 2L-CCS method demonstrated improved short and long-term propagation accuracy compared to standard CCS.
  • 2L-CCS exhibited enhanced numerical efficiency and parallel scalability.
  • The method showed promising performance on a complex, high-dimensional quantum tunnelling problem.

Conclusions:

  • The 2L-CCS method offers significant advantages in accuracy and efficiency for quantum dynamics simulations.
  • The developed framework is well-suited for studying composite quantum systems.
  • These findings support further development of 2L-CCS for on-the-fly direct dynamics calculations.