Quantum phase transitions in the Bose Hubbard model with pairing potential

초록

We study quantum phase transitions by measuring the energy level crossing and the number density in the one-dimensional Bose Hubbard model with pairing potential. Using the matrix product operator and the matrix product state, we perform the infinite density matrix renormalization group to determine the ground states. Depending on the chemical potential and the pairing potential, the number density shows clear signatures of the Mott transition. Our results confirm that the U(1)-phase symmetry breaking is associated with superfluidity in the Bose Hubbard model.

키워드