Critical entanglement and geometric phase of a two-qubit model with Dzyaloshinski-Moriya anisotropic interaction  

作　　者：李志坚 程璐 温姣进 

机构地区：[1]Institute of Theoretical Physics and Department of Physics,Shanxi University

出　　处：《Chinese Physics B》2010年第1期51-55,共5页中国物理B（英文版）

基　　金：Project supported by the Natural Science Foundation for Young Scientists of Shanxi Province of China (Grant No. 2007021001);the Science and Technology Key Item of Chinese Ministry of Education (Grant No. 207017);National Fundamental Fund of Personnel Training (Grant No. J0730317);the National Natural Science Foundation of China (Grant No. 10774094)

摘　　要：We consider a two-qubit system described by the Heisenberg XY model with Dzyaloshinski Moriya （DM） anisotropic interaction in a perpendicular magnetic field to investigate the relation between entanglement, geometric phase and quantum phase transition （QPT）. It is shown that the DM interaction has an effect on the critical boundary. The combination of entanglement and geometric phase may characterize QPT completely. Their jumps mean that the occurrence of QPT and inversely the QPT at the critical point at least corresponds to a jump of one of them.We consider a two-qubit system described by the Heisenberg XY model with Dzyaloshinski Moriya （DM） anisotropic interaction in a perpendicular magnetic field to investigate the relation between entanglement, geometric phase and quantum phase transition （QPT）. It is shown that the DM interaction has an effect on the critical boundary. The combination of entanglement and geometric phase may characterize QPT completely. Their jumps mean that the occurrence of QPT and inversely the QPT at the critical point at least corresponds to a jump of one of them.

关 键 词：ENTANGLEMENT geometric phase quantum phase transition 

分 类 号：O413.1[理学—理论物理] TP38[理学—物理]