Phase diagram of a bosonic ladder with two coupled chains

摘要: We study a bosonic ladder with two coupled chains using the finite size density matrix renormalisation group method. show that in commensurate critical on-site interaction ($U_C$) for superfluid to Mott insulator transition becomes larger as inter-chain hopping ($t_\bot$)increases. analyze this quantum phase and obtain diagram $t_\bot -U$ plane.