Quantum Monte Carlo method applied to strongly correlated dilute fermi gases with finite effective range

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.

Comments: 7 pages, 1 figure, proceedings from XIV Nuclear Physics Workshop in Kazimierz Dolny, Poland