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Title: Onsets of hierarchy truncation and self–consistent Born approximation with quantum mechanics prescriptions invariance

The issue of efficient hierarchy truncation is related to many approximate theories. In this paper, we revisit this issue from both the numerical efficiency and quantum mechanics prescription invariance aspects. The latter requires that the truncation approximation made in Schrödinger picture, such as the quantum master equations and their self–consistent–Born–approximation improvements, should be transferable to their Heisenberg–picture correspondences, without further approximations. We address this issue with the dissipaton equation of motion (DEOM), which is a unique theory for the dynamics of not only reduced systems but also hybrid bath environments. We also highlight the DEOM theory is not only about how its dynamical variables evolve in time, but also the underlying dissipaton algebra. We demonstrate this unique feature of DEOM with model systems and report some intriguing nonlinear Fano interferences characteristics that are experimentally measurable.
Authors:
 [1] ;  [1] ;  [2]
  1. Department of Chemistry, Hong Kong University of Science and Technology, Hong Kong (China)
  2. (China)
Publication Date:
OSTI Identifier:
22493291
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Chemical Physics; Journal Volume: 143; Journal Issue: 21; 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; ALGEBRA; BORN APPROXIMATION; EFFICIENCY; EQUATIONS OF MOTION; INTERFERENCE; NONLINEAR PROBLEMS; QUANTUM MECHANICS; SCHROEDINGER PICTURE; SELF-CONSISTENT FIELD