Abstract:
The Lieb-Liniger model describes one-dimensional bosons with point-wise interaction.
The spectrum of the model can be found using the Bethe ansatz. I will talk about the
special case of a large-volume system with an attractive potential. Then, numerous
simplifications arise in the Lieb-Liniger model. In particular, one can find an explicit
solution of the Bethe equations (up to exponentially small corrections) describing the
ground state of the model. One can also obtain very simple explicit formulas for the
ground state correlation functions.
