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Title: Dynamically consistent method for mixed quantum-classical simulations: A semiclassical approach

We introduce a new semiclassical (SC) framework, the Mixed Quantum-Classical Initial Value Representation (MQC-IVR), that can be tuned to reproduce existing quantum-limit and classical-limit SC approximations to quantum real-time correlation functions. Applying a modified Filinov transformation to a quantum-limit SC formulation leads to the association of a Filinov parameter with each degree of freedom in the system; varying this parameter from zero to infinity controls the extent of quantization of the corresponding mode. The resulting MQC-IVR expression provides a consistent dynamic framework for mixed quantum-classical simulations and we demonstrate its numerical accuracy in the calculation of real-time correlation functions for a model 1D system and a model 2D system over the full range of quantum- to classical-limit behaviors.
Authors:
; ;  [1]
  1. Department of Chemistry and Chemical Biology, Cornell University, Ithaca, New York 14853 (United States)
Publication Date:
OSTI Identifier:
22415758
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Chemical Physics; Journal Volume: 142; Journal Issue: 18; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMPUTERIZED SIMULATION; CORRELATION FUNCTIONS; DEGREES OF FREEDOM; QUANTIZATION; QUANTUM MECHANICS; SEMICLASSICAL APPROXIMATION; TRANSFORMATIONS; TWO-DIMENSIONAL SYSTEMS