Regular Article

Dipolar Bose gas with three-body interactions in weak disorder

¹ Laboratory of Mechanics and Energy, Faculty of Exact Sciences and Informatics, Hassiba Benbouali University of Chlef, P.O. Box 78, 02000 Chlef, Algeria
² Department of Physics, Faculty of Exact Sciences and Informatics, Hassiba Benbouali University of Chlef, P.O. Box 78, 02000 Chlef, Algeria

^a e-mail: a.boudjemaa@univhb-chlef.dz

Received: 4 January 2019
Received in final form: 15 March 2019
Published online: 1 June 2019

Abstract

We study effects of weak disorder with Gaussian correlation function on a dipolar Bose gas with three-body interactions using the Hartree-Fock-Bogoliubov theory. Corrections due to quantum, thermal and disorder fluctuations to the condensate depletion, the one-body density correlation function as well as to the equation of state and the ground state energy are properly calculated. We show that the intriguing interplay of the disorder, dipole-dipole interactions and three-body interactions plays a fundamental role in the physics of the system. Interestingly, we find that the three-body interactions release atoms localized in the respective minima of the random potential.