Effects of atom losses on a one-dimensional lattice gas of hard-core bosons
François Riggio, Lorenzo Rosso, Dragi Karevski, Jérôme Dubail
Abstract
Atom losses occur naturally during cold atoms experiments. Since this phenomenon is unavoidable, it is important to understand its effect on the remaining atoms. Here we investigate a toy model: a lattice gas of hard-core bosons subject to $K$-body losses (where $K=1,2,3,\ensuremath{\cdots},$ is the number of atoms lost in each loss event) on $K$ neighboring sites. In particular, we investigate the effect of losses on the rapidity distribution $\ensuremath{\rho}(k)$ of the atoms. Under the assumption that losses are weak enough so that the system relaxes between two loss events, we are able to determine the loss functional $F[\ensuremath{\rho}](k)$ encoding the loss process for $K$-body losses. We derive closed expressions for the cases of one- and two-body losses and show their effects on the evolution of the total number of particles. Then we add a harmonic trapping potential and study the evolution of the position-dependent rapidity distribution of this system by solving numerically the evolution equation for one-, two-, and three-body losses.