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Title: Synergies from using higher order symplectic decompositions both for ordinary differential equations and quantum Monte Carlo methods

Decomposition methods of the Suzuki-Trotter type of various orders have been derived in different fields. Applying them both to classical ordinary differential equations (ODEs) and quantum systems allows to judge their effectiveness and gives new insights for many body quantum mechanics where reference data are scarce. Further, based on data for 6 × 6 system we conclude that sampling with sign (minus-sign problem) is probably detrimental to the accuracy of fermionic simulations with determinant algorithms.
Authors:
 [1] ;  [2]
  1. Dep. of Mech. Engineering and Intelligent Systems, The Univ. of Electro-Communications, Tokyo (Japan)
  2. Schlumberger K.K. Technology Group (Japan)
Publication Date:
OSTI Identifier:
22391054
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1648; Journal Issue: 1; Conference: ICNAAM-2014: International Conference on Numerical Analysis and Applied Mathematics 2014, Rhodes (Greece), 22-28 Sep 2014; 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; ACCURACY; ALGORITHMS; COMPUTERIZED SIMULATION; DIFFERENTIAL EQUATIONS; FERMIONS; MANY-BODY PROBLEM; MONTE CARLO METHOD; QUANTUM MECHANICS; QUANTUM SYSTEMS