Shell model for large systems and quantum monte carlo diagonalization method

1997 ◽  
pp. 133-154
Author(s):  
Takaharu Otsuka ◽  
Michio Honma ◽  
Takahiro Mizusaki
Keyword(s):  
Monte Carlo ◽  
Shell Model ◽  
Quantum Monte Carlo ◽  
Diagonalization Method ◽  
Large Systems

scholarly journals Nuclear Shell Model by the Quantum Monte Carlo Diagonalization Method

1996 ◽  
Vol 77 (16) ◽  
pp. 3315-3318 ◽  
Author(s):  
Michio Honma ◽  
Takahiro Mizusaki ◽  
Takaharu Otsuka
Keyword(s):  
Monte Carlo ◽  
Shell Model ◽  
Quantum Monte Carlo ◽  
Nuclear Shell Model ◽  
Diagonalization Method ◽  
Nuclear Shell

QUANTUM MONTE CARLO STUDY OF SITE-DILUTED HEISENBERG ANTIFERROMAGNET ON A SQUARE LATTICE

1999 ◽  
Vol 10 (08) ◽  
pp. 1399-1407 ◽  
Author(s):  
S. TODO ◽  
K. KATO ◽  
H. TAKAYAMA ◽  
K. HARADA ◽  
N. KAWASHIMA ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Critical Exponents ◽  
Quantum Monte Carlo ◽  
Large Scale ◽  
Critical Concentration ◽  
Monte Carlo Study ◽  
Square Lattice ◽  
Heisenberg Antiferromagnet ◽  
Large Systems ◽  
Time Loop

Ground-state phase transition of site-diluted Heisenberg antiferromagnets on a square lattice is studied. By using the continuous-time loop algorithm, we perform large-scale quantum Monte Carlo simulation on large systems at quite low temperatures. It is found that the critical concentration of magnetic sites is independent of the spin size S, and equal to the classical percolation threshold. However, the existence of quantum fluctuations makes the critical exponents deviate from those of the classical percolation transition. It is found that the transition is not universal, i.e., the critical exponents depend on the spin size S.

MONTE CARLO SHELL MODEL CALCULATIONS FOR ATOMIC NUCLEI

2001 ◽  
Vol 15 (10n11) ◽  
pp. 1463-1473
Author(s):  
T. OTSUKA ◽  
T. MIZUSAKI ◽  
Y. UTSUNO ◽  
N. SHIMIZU ◽  
M. HONMA
Keyword(s):  
Monte Carlo ◽  
Shell Model ◽  
Quantum Monte Carlo ◽  
Level Structure ◽  
Nuclear Spectroscopy ◽  
Model Calculations ◽  
Atomic Nuclei ◽  
Truncation Scheme ◽  
Transition Matrix Elements ◽  
Monte Carlo Shell Model

The formulation and recent applications of the Quantum Monte Carlo diagonalization (QMCD) method are reported. The QMCD has been proposed for solving the quantum many-body inteacting systems, providing us with energy eigenvalues, transition matrix elements and wave functions. Its application to the nuclear shell model is referred to as the Monte Carlo Shell Model. By the Monte Carlo Shell Model calculations, the level structure of low-lying states can be studied with realistic interactions, providing a useful tool for nuclear spectroscopy. The Monte Carlo Shell Model has been applied to the study of a variety of nuclei, and can be characterized as the importance truncation scheme to the full diagonalization which is infeasible in many cases due to extremely large dimensions.

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