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

Journal Article · Tue Mar 10 00:00:00 EDT 2015 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4912480· OSTI ID:22391054

Matuttis, Hans-Georg ^[1]; Wang, Xiaoxing ^[2]

---

1. Dep. of Mech. Engineering and Intelligent Systems, The Univ. of Electro-Communications, Tokyo (Japan)
2. Schlumberger K.K. Technology Group (Japan)

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.

• OSTI ID: 22391054
• Journal Information: AIP Conference Proceedings, Vol. 1648, 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); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACCURACY
ALGORITHMS
COMPUTERIZED SIMULATION
DIFFERENTIAL EQUATIONS
FERMIONS
MANY-BODY PROBLEM
MONTE CARLO METHOD
QUANTUM MECHANICS
QUANTUM SYSTEMS