Monte Carlo method for obtaining the ground-state properties of quantum spin systems

1996 ◽  
Vol 53 (2) ◽  
pp. 668-673 ◽  
Author(s):  
J. P. Neirotti ◽  
M. J. de Oliveira
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Ground State ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems ◽  
Ground State Properties

NUMERICAL STOCHASTIC METHODS IN STATISTICAL MECHANICS

1996 ◽  
Vol 10 (11) ◽  
pp. 1313-1327 ◽  
Author(s):  
MÁRIO J. DE OLIVEIRA
Keyword(s):  
Monte Carlo ◽  
Statistical Mechanics ◽  
Ground State ◽  
Stochastic Dynamics ◽  
Quantum Spin ◽  
Spin Systems ◽  
Stochastic Methods ◽  
Quantum Spin Systems ◽  
Microscopic Reversibility

We review the numerical stochastic methods used in statistical mechanics with emphasis on the Langevin and Monte Carlo methods. We point out the role of microscopic reversibility in setting up the stochastic dynamics associated to the methods. We also present a Monte Carlo method which allows the calculation of the ground state properties of quantum spin systems.

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