Thermofield quantum Monte Carlo method and its applications to quantum spin systems

1987 ◽  
Vol 35 (7) ◽  
pp. 3569-3575 ◽  
Author(s):  
Masuo Suzuki ◽  
Seiji Miyashita ◽  
Masako Takasu
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Quantum Monte Carlo ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems ◽  
Quantum Monte Carlo Method

PARALLELIZATION OF THE WORLDLINE QUANTUM MONTE CARLO METHOD

1992 ◽  
Vol 03 (01) ◽  
pp. 61-78 ◽  
Author(s):  
J.E. GUBERNATIS ◽  
W.R. SOMSKY
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Quantum Monte Carlo ◽  
Data Representation ◽  
Quantum Spin ◽  
Computational Technique ◽  
Interprocessor Communication ◽  
Quantum Spin Systems ◽  
Spinless Fermion ◽  
Quantum Monte Carlo Method

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.

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