We propose imaginary-time evolution equations to numerically obtain the ground state, excited states, and Bloch states of the Schrödinger equations of more than one particle. The method is applied to the Schrödinger equation of two or three bosons interacting repulsively in an optical lattice. When the repulsive interaction is sufficiently strong, each lattice point is occupied by one particle and particle motion is suppressed, which corresponds to a Mott-like state. A dynamical response of the Mott-like state to a weak additional periodic potential is also studied.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)