Transfer-Matrix Monte Carlo Method –A Practical Solution for the Negative Sign Problem–

1994 ◽  
Vol 63 (7) ◽  
pp. 2449-2452 ◽  
Author(s):  
Seiji Miyashita
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Transfer Matrix ◽  
Negative Sign ◽  
Practical Solution ◽  
Sign Problem

MONTE CARLO STUDIES ON FRUSTRATED QUANTUM SPIN SYSTEMS BY A NEW APPROACH TO THE NEGATIVE-SIGN PROBLEM: TRANSFER-MATRIX MONTE CARLO METHOD

1996 ◽  
Vol 07 (03) ◽  
pp. 425-431
Author(s):  
Seiji MIYASHITA ◽  
Tota NAKAMURA
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Transfer Matrix ◽  
Quantum Monte Carlo ◽  
Quantum Spin ◽  
Kondo Lattice ◽  
Negative Sign ◽  
Quantum Spin Systems ◽  
Sign Problem ◽  
Monte Carlo Studies

A new technique for the negative sign problem in the quantum Monte Carlo method using the Suzuki-Trotter decomposition is introduced. In order to reduce the cancellation between between samples with positive and negative weights, we make use of the transfer matrix method, which has been named the Transfer-Matrix Monte Carlo method. Applications to the Heisenberg antiferromagnet on the ∆-chain and on the kagome lattice, and also to the Kondo lattice system also are given.

A CONSTRAINED PATH MONTE CARLO METHOD FOR NUCLEON SYSTEMS

2001 ◽  
Vol 15 (10n11) ◽  
pp. 1510-1518 ◽  
Author(s):  
K. E. SCHMIDT ◽  
A. SARSA ◽  
S. FANTONI
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Ground State ◽  
Degrees Of Freedom ◽  
Diffusion Monte Carlo ◽  
Nucleon Potential ◽  
Sign Problem ◽  
Hypernetted Chain ◽  
Path Constraint ◽  
Spatial Degrees Of Freedom

By combining diffusion Monte Carlo for the spatial degrees of freedom and auxiliary field Monte Carlo to separate the spin-isospin operators, we can solve for the ground state of many-nucleon systems. We use a path constraint to control the fermion sign problem and apply the method to neutron systems interacting with the Argonne v′8 two nucleon potential and the Urbana IX three-nucleon potential. We compare our results with fermion hypernetted chain calculations.

scholarly journals Practical solution to the Monte Carlo sign problem: Realistic calculations ofFe54

1994 ◽  
Vol 72 (5) ◽  
pp. 613-616 ◽  
Author(s):  
Y. Alhassid ◽  
D. J. Dean ◽  
S. E. Koonin ◽  
G. Lang ◽  
W. E. Ormand
Keyword(s):  
Monte Carlo ◽  
Practical Solution ◽  
Sign Problem
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