Nonlinear Schrödinger equation for a ${\mathcal{PT}}$-symmetric delta-function double well
Nonlinear Schrödinger equation for a ${\mathcal{PT}}$-symmetric delta-function double well
The time-independent nonlinear Schr\"odinger equation is solved for two attractive delta-function shaped potential wells where an imaginary loss term is added in one well, and a gain term of the same size but with opposite sign in the other. We show that for vanishing nonlinearity the model captures all the …