Quantum Monte Carlo study of dilute neutron matter at finite temperatures
We report results of fully nonperturbative, path integral Monte Carlo calculations for dilute neutron matter. The neutron-neutron interaction in the s channel is parameterized by the scattering length and the effective range. We calculate the energy and the chemical potential as a function of temperature at density {rho}=0.003 fm{sup -3}. The critical temperature T{sub c} for the superfluid-normal phase transition is estimated from the finite size scaling of the condensate fraction. At low temperatures we extract the spectral weight function A(p,{omega}) from the imaginary time propagator using the methods of maximum entropy and singular value decomposition. We determine the quasiparticle spectrum, which can be accurately parameterized by three parameters: an effective mass m{sup *}, a mean-field potential U, and a gap {Delta}. Large values of {Delta}/T{sub c} indicate that the system is not a BCS-type superfluid at low temperatures.