Effects of atom losses on a one-dimensional lattice gas of hardcore bosons
arXiv (Cornell University)(2023)
摘要
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 study a gas of hard-core bosons on a lattice subject
to K-body losses (where K=1,2,3,… is the number of atoms lost in each
loss event), and in particular we investigate the effect of losses on the
rapidity distribution ρ(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[ρ](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.
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关键词
atom losses,gas,one-dimensional
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