Dissipative dynamics with the corrected propagator method. Numerical comparison between fully quantum and mixed quantum/classical simulations

David Gelman, Steven D Schwartz

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The recently developed quantum-classical method has been applied to the study of dissipative dynamics in multidimensional systems. The method is designed to treat many-body systems consisting of a low dimensional quantum part coupled to a classical bath. Assuming the approximate zeroth order evolution rule, the corrections to the quantum propagator are defined in terms of the total Hamiltonian and the zeroth order propagator. Then the corrections are taken to the classical limit by introducing the frozen Gaussian approximation for the bath degrees of freedom. The evolution of the primary part is governed by the corrected propagator yielding the exact quantum dynamics. The method has been tested on two model systems coupled to a harmonic bath: (i) an anharmonic (Morse) oscillator and (ii) a double-well potential. The simulations have been performed at zero temperature. The results have been compared to the exact quantum simulations using the surrogate Hamiltonian approach.

Original languageEnglish (US)
Pages (from-to)62-69
Number of pages8
JournalChemical Physics
Volume370
Issue number1-3
DOIs
StatePublished - May 12 2010
Externally publishedYes

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Hamiltonians
baths
propagation
simulation
degrees of freedom
oscillators
harmonics
approximation
Temperature
temperature

Keywords

  • Corrected propagator
  • Dynamics
  • Mixed quantum classical

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry
  • Physics and Astronomy(all)

Cite this

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