PARALLELIZATION OF THE WORLDLINE QUANTUM MONTE CARLO METHOD

1992 ◽  
Vol 03 (01) ◽  
pp. 61-78 ◽  
Author(s):  
J.E. GUBERNATIS ◽  
W.R. SOMSKY

The worldline quantum Monte Carlo method is a computational technique for studying the properties of many-electron and quantum-spin systems. In this paper, we describe our efforts in developing an efficient implementation of this method for the massively-parallel Connection Machine CM-2. We discuss why one must look beyond the obvious parallelism in the method in order to reduce interprocessor communication and increase processor utilization, and how these goals may be achieved using a plaquette-based data representation. We also present performance statistics for our implementation and sample calculations for the spinless fermion model.

1996 ◽  
Vol 07 (03) ◽  
pp. 425-431
Author(s):  
Seiji MIYASHITA ◽  
Tota NAKAMURA

A new technique for the negative sign problem in the quantum Monte Carlo method using the Suzuki-Trotter decomposition is introduced. In order to reduce the cancellation between between samples with positive and negative weights, we make use of the transfer matrix method, which has been named the Transfer-Matrix Monte Carlo method. Applications to the Heisenberg antiferromagnet on the ∆-chain and on the kagome lattice, and also to the Kondo lattice system also are given.


1997 ◽  
Vol 55 (5) ◽  
pp. 6202-6210 ◽  
Author(s):  
Matthew D. Jones ◽  
Gerardo Ortiz ◽  
David M. Ceperley

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