Progress in exact treatment of fermions at finite temperature

R. Rossignoli

A correlated finite-temperature Hartree-Fock (FTHF) approximation is examined in a three-level U(3) fermion model and compared with conventional FTHF and exact canonical results. It is seen that the correlated treatment is able to yield a more reliable picture of the thermal behavior for a finite number of particles, which may differ substantially from that given by conventional FTHF.

Adrian A. Drǎgulescu, Adrian Neagu

Deyan Sun

An approximate treatment of exchange in finite-temperature path integral Monte Carlo simulations for fermions has been proposed. In this method, some of the fine details of density matrix due to permutations have been smoothed over or averaged out by using the coarse-grained approximation. The practical usefulness of the method is tested for interacting fermions in a three dimensional harmonic well. The results show that, the present method not only reduces the sign fluctuation of the density matrix, but also avoid the fermion system collapsing into boson system at low temperatures. The method is substantiated to be exact when applied to free particles.

P. Valta, J. Konopka, M. Berenguer +9 more

C. Bourbonnais, Benoit Guay, Rachel Wortis

Christopher Ticknor

In this talk I will discuss progress towards the treatment of a dipolar gas at finite temperature using the Hartree Fock Bogoliubov method.Including the dipolar interaction leads to a set of non-local equations.In addition, the interaction can be anisotropic and this leads to interesting behavior.