ANALYSIS OF QUANTUM MONTE CARLO DYNAMICS IN INFINITE-RANGE ISING SPIN SYSTEMS: THEORY AND ITS POSSIBLE APPLICATIONS

2012 ◽  
Author(s):  
JUN-ICHI INOUE
Keyword(s):  
Monte Carlo ◽  
Systems Theory ◽  
Quantum Monte Carlo ◽  
Spin Systems ◽  
Ising Spin ◽  
Monte Carlo Dynamics ◽  
Infinite Range

scholarly journals ROBUST PARAMETER SELECTION FOR PARALLEL TEMPERING

2010 ◽  
Vol 21 (05) ◽  
pp. 603-615 ◽  
Author(s):  
FIRAS HAMZE ◽  
NEIL DICKSON ◽  
KAMRAN KARIMI
Keyword(s):  
Monte Carlo ◽  
Quantum Monte Carlo ◽  
Spin Systems ◽  
Parallel Tempering ◽  
First Order ◽  
Ising Spin ◽  
Robust Parameter ◽  
Selection For ◽  
First Order Phase ◽  
Parameter Values

This paper describes an algorithm for selecting parameter values (e.g. temperature values) at which to measure equilibrium properties with Parallel Tempering Monte Carlo simulation. Simple approaches to choosing parameter values can lead to poor equilibration of the simulation, especially for Ising spin systems that undergo first-order phase transitions. However, starting from an initial set of parameter values, the careful, iterative respacing of these values based on results with the previous set of values greatly improves equilibration. Example spin systems presented here appear in the context of Quantum Monte Carlo.

scholarly journals Unconventional phase transitions in strongly anisotropic 2D (pseudo)spin systems

2018 ◽  
Vol 185 ◽  
pp. 08006
Author(s):  
Vitaly Konev ◽  
Evgeny Vasinovich ◽  
Vasily Ulitko ◽  
Yury Panov ◽  
Alexander Moskvin
Keyword(s):  
Magnetic Field ◽  
Monte Carlo ◽  
Phase Transitions ◽  
Ground State ◽  
Quantum Monte Carlo ◽  
Mean Field ◽  
Spin Systems ◽  
Field Approach ◽  
Generalized Mean

We have applied a generalized mean-field approach and quantum Monte-Carlo technique for the model 2D S = 1 (pseudo)spin system to find the ground state phase with its evolution under application of the (pseudo)magnetic field. The comparison of the two methods allows us to clearly demonstrate the role of quantum effects. Special attention is given to the role played by an effective single-ion anisotropy ("on-site correlation").

A special-purpose processor for the Monte Carlo simulation of ising spin systems

1983 ◽  
Vol 51 (2) ◽  
pp. 250-260 ◽  
Author(s):  
A Hoogland ◽  
J Spaa ◽  
B Selman ◽  
A Compagner
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Spin Systems ◽  
Ising Spin
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