摘要：What and how to compute quantities which connect quantum phase transition (QPT) and
entanglement are main issues to address in this talk. I report our group’s efforts in finding computable
quantities to explore the relation between QPT and entanglement. First we introduce a few computable
quantities one can measure the entanglement. Then we study behaviors of those quantities in several
well known quantum many-body systems such as the extended Hubbard model and quantum spin
models. We argue the important role played by the low-lying excitation spectra reconstruction near the
QPT in identifying the behavior of the entanglement and QPT. It is hoped that a unified and intuitive
picture on the relation between the QPT and the entanglement could be given.
