Formulation and Application of Quantum Monte Carlo Method to Fractional Quantum Hall Systems
Sei Suzuki, Tatsuya Nakajima
TL;DR
This paper introduces a Quantum Monte Carlo approach tailored for fractional quantum Hall systems, utilizing linear programming to circumvent the negative-sign problem and presenting numerical results on physical quantities.
Contribution
It presents a novel formulation of Quantum Monte Carlo for fractional quantum Hall systems that avoids the negative-sign problem using linear programming techniques.
Findings
Successfully applied the method to compute static physical quantities.
Demonstrated the effectiveness of the sign problem avoidance technique.
Provided numerical results supporting the method's validity.
Abstract
Quantum Monte Carlo method is applied to fractional quantum Hall systems. The use of the linear programming method enables us to avoid the negative-sign problem in the Quantum Monte Carlo calculations. The formulation of this method and the technique for avoiding the sign problem are described. Some numerical results on static physical quantities are also reported.
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