Probability of phase separation for the Bose gas with delta interactions

V. Korepin, A. Its, A. Waldron

We consider the quantum Non-linear Schrödinger equation $i{\partial }_t\Psi =-{\partial }_x^2\Psi +2c{\Psi }^{†}{\Psi }^2$ with positive coupling constant $c$ varying from zero to infinity. We study qua…