Dipole Effects in Ensemble of Cold Atoms

In this work is considered one-dimensional system of identical cold fermions with the same dipoles orientation perpendicular to the axis. In this case the dipole-dipole interaction is repulsive. In addition, this system allows "contact" interaction of fermions at short distances. The aim of the study is to determine the properties of the ground state of such an ensemble of fermions, in particular, to determine the dependence of the system energy on the interaction parameters. The model with such non-local interaction is not integrable and there is no exact answer to the questions posed. The non-local interaction makes it difficult to apply the bosonation method directly. If the interaction between particles is weak, it can be assumed that the lowest in terms of the interaction parameter corrections to thermodynamic values are given by the modified perturbation theory, where the interaction potential is expressed through the amplitude of the two-particle scattering.