Monte Carlo Simulations of Strongly Correlated and Frustrated Quantum Systems

2007 ◽  
pp. 137-151
Author(s):  
C. Lavalle ◽  
S. R. Manmana ◽  
S. Wessel ◽  
A. Muramatsu
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Quantum Systems ◽  
Strongly Correlated

scholarly journals MULTILEVEL BLOCKING MONTE CARLO SIMULATIONS FOR QUANTUM DOTS

2001 ◽  
Vol 15 (10n11) ◽  
pp. 1416-1425 ◽  
Author(s):  
R. EGGER ◽  
C. H. MAK
Keyword(s):  
Quantum Dots ◽  
Monte Carlo ◽  
Low Temperature ◽  
Monte Carlo Simulations ◽  
Strongly Correlated Electrons ◽  
Correlated Electrons ◽  
Strongly Correlated ◽  
Path Integral Monte Carlo ◽  
Sign Problem ◽  
Simulation Results

This article provides an introduction to the ideas behind the multilevel blocking (MLB) approach to the fermion sign problem in path-integral Monte Carlo simulations, and also gives a detailed discussion of MLB results for quantum dots. MLB can turn the exponential severity of the sign problem into an algebraic one, thereby enabling numerically exact studies of otherwise inaccessible systems. Low-temperature simulation results for up to eight strongly correlated electrons in a parabolic 20 quantum dot are presented.

Monte Carlo Simulations of Water under Supercritical Conditions. II. Convergence Characteristics and the System Size Effects

1992 ◽  
Vol 47 (9) ◽  
pp. 992-998
Author(s):  
A. G. Kalinichev
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Size Dependence ◽  
Convergence Rates ◽  
System Size ◽  
Strongly Correlated ◽  
Ensemble Monte Carlo ◽  
High Temperature Water ◽  
Wide Range ◽  
Temperature Water

Abstract The size dependence and convergence rates of thermodynamic averages during Monte Carlo simulations of supercritical water in a wide range of densities have been analysed and compared with simulations under normal conditions. It is shown that the fluctuations of internal energy (enthalpy) in NPT-ensemble Monte Carlo simulations of high-temperature water are strongly correlated with fluctuations of volume and the convergence of the thermodynamic averaging under such conditions depends on the frequency of volume-changing moves and may be considerably improved by increasing this frequency by a factor of 3 - 10 relative to generally accepted values

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