Quantum Monte Carlo method applied to strongly correlated dilute fermi gases with finite effective range
G. Wlazlowski, P. Magierski
TL;DR
This paper applies the Auxiliary Field Quantum Monte Carlo method to study dilute neutron matter with finite effective range, providing a sign-problem-free approach and preliminary thermodynamic results.
Contribution
It introduces a sign-problem-free AFQMC formulation for finite-range interactions in dilute neutron matter and compares results with exact diagonalization.
Findings
AFQMC results agree with exact diagonalization for toy models
Preliminary energy and chemical potential calculations as functions of temperature
Formulation free from the sign problem for finite-range interactions
Abstract
We discuss the Auxiliary Field Quantum Monte Carlo (AFQMC) method applied to dilute neutron matter at finite temperatures. We formulate the discrete Hubbard-Stratonovich transformation for the interaction with finite effective range which is free from the sign problem. The AFQMC results are compared with those obtained from exact diagonalization for a toy model. Preliminary calculations of energy and chemical potential as a function of temperature are presented.
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