The short answer to this question is that the "spin" referred to is quantum spin.
A longer answer involves describing the superfluid Bose-Einstein Condensate experimental technique. One technical paper (from 2011) describing a form of the method is Spin-Orbit-Coupled-Bose-Einstein Condensates.
The relevant aspect to your question is that Rubidium atoms (in a Bose-Einstein Condensate) have two quantum spin states selected (by an experimental technique), say |up> and |down>. The momentum of the components is determined by the particle's mass and by a "spin-orbit coupling". This generates a "pseudo-momentum" and associated "effective mass" - in short the component's (pseudo-)momentum is determined not only by its mass and velocity but also by its spin state. This coupling strength is controllable by lasers, so that pseudo-momentum can vary by manipulating laser strengths.
An added complication is that the behaviour of the BEC is described not directly by the Schrodinger equation, but by a non-linear approximation called the Gross-Pitaevksii Equation.
This non-linear equation can have unusual solutions like solitons.
Overall a synthetic quantum environment has been created (in the superfluid) in which one can apparently simulate: negative mass, Galilean non-covariance, and other unusual dynamical pseudo-properties.