Rotational Properties of Lee-Huang-Yang Bosonic Condensates from One to Two Dimensions

Abstract: This thesis covers the work of a numerical examination of the rotational properties of a two-component Bose-Einstein condensate (BEC) utilizing the beyond mean-field extended Gross-Pitaevskii equation for a specified set of parameters. These parameters are chosen to cancel the strength of the mean-field interaction, which makes the system predominantly governed by the next order beyond the mean-field Lee-Huang-Yang (LHY) term. This type of BEC, referred to as an LHY-fluid, is what will be examined further in this work. The theoretical part shows how this LHY-fluid is produced with the appropriate one and two-dimensional models. These models are then utilized to quantitatively examine the rotational properties of a two-dimensional LHY-fluid in harmonic confinement and an LHY-fluid confined on a ring in one and two dimensions.