使用并行算法(简称Z分法)Fortran编程计算获取海森堡模型位型[N,k](N为海森堡链总格点数,k为格点中自旋向上的电子数)最小本征值的最短时间.使用置换群方法产生模型的能量矩阵,将能量矩阵对角化所得到的本征值构成数据群,采用Z(Z=1,2…)分法Fortran编程计算获得群中最小数据的最短(或最长)时间.结果表明:同一位型[N,k],使用2分法获取模型位型[N,k]最小本征值的时间最长,而不等分或满等分(此时Z=1或位型[N,k]的矩阵维数)时的时间最短且二者相等;对于不同位型[N,k],当N(k)同,k(N)增大且Z相同时,获取模型最小本征值的最短时间增加.
参考文献
[1] | Ji Xin,Zhang Shou.Teleportation of the three-particle entangled state by the two EPR pairs[J].Chinese Journal of Quantum Electronics(量子电子学报),2006,23(6):816-819 (in Chinese). |
[2] | Xi Yongjun,Fang Jianxing,Zhu Shiqun,et al.Probabilistic teleportation of an arbitrary three-particle entangled state via three pairs partly entangled particles[J].Chinese Journal of Quantum Electronics(量子电子学报),2006,23(1):61-65 (in Chinese). |
[3] | Liu Linyao,Hu Mengjun,Lv Hongjun,et al.Quantum key distribution protocol based on any Bell states[J].Chinese Journal of Quantum Electronics(量子电子学报),2013,30(4):439-444 (in Chinese). |
[4] | Jiang Zhongsheng,Lv Hongjun,Xie Guangjun.Controlled information transmission of multi-dimensional quantum superdense coding[J].Chinese Journal of Quantum Electronics(量子电子学报),2013,30(4):450-454 (in Chinese). |
[5] | Huang Hongmei.Teleportation of a N-particle entangled GHZ sate via two-particle entangled quantum channel[J].Chinese Journal of Quantum Electronics (量子电子学报),2012,29(6):695-700 (in Chinese). |
[6] | Ren Hengfeng,Wang Qingliang,Hou Shengxia,et al.Quantum information transfer about multiple states in spin chain[J].Chinese Journal of Quantum Electronics(量子电子学报),2012,29(5):572-576 (in Chinese). |
[7] | Han Wenjuan,Zhou Xun,Zhang Tairong.Calculation and analysis of probability and corresponding entropy of Heisenberg model[J].Chinese Journal of Quantum Electronics(量子电子学报),2012,29(4):427-433 (in Chinese). |
[8] | Han Wenjuan.The algorithm achieve of entanglement of Heisenberg model using Fortran program and th eliminating methods of random datas[J].Bulletin of Science and Technology(科技通报),2012,28(7):14-19 (iChinese). |
[9] | Anfossi A,Giorda P.Two-point versus multipartite entanglement in quantum phase transitions[J].Phys.Rev.Lett.,2005,95:056402. |
[10] | Ren Jie,Zhu Shiqun.Density-matrix renormalization-group study of entanglement and entropy in an antiferromagnetic Heisenberg spin chain with domain walls[J].Phys.Rev.A,2008,77:034303. |
[11] | Bose Sougato.Quantum communication through an unmodulated spin chain[J].Phys.Rev.Lett.,2003,91:207901. |
[12] | Hao Xiang,Zhu Shiqun.Entanglement in a spin-s antiferromagnetic Heisenberg chain[J].Phys.Rev.A,2005,72:042306. |
[13] | Pan Feng,Liu Dan,Lu Guoying.Recent progress on entanglement of multipartite pure state[J].Journal of Liaoning Normal University (Natural Science)(辽宁师范大学学报(自然科学版)),2003,26(4):364 (in Chinese). |
[14] | Wang Xiaoguang.Boundary and impurity effects on the entanglement of Heisenberg chains[J].Phys.Rev.E,2004,69:066118. |
[15] | Amico Luigi.Entanglement in many-body systems[J].Rev.Mod.Phys.,2008,80:517. |
[16] | Gu Shijian,Tian Guanshan.Entanglement and quantum phase transition[J].Quant-Phys,2005,28:0511243. |
[17] | Gu Shijian,Tian Guanshan,Hai Qinglin.Ground-state entanglement in the XXZ model[J].Phys.Rev.A,2005,71:052322. |
[18] | Feng Rui,Jin Guojun.Condensed Matter Physics(凝聚态物理学(上卷))[M]Beijing:Higher Education Press,2003:11-13 (in Chinese). |
[19] | Han Wenjuan,Huang Min,Liu Hai.Energy spectrum of the XY model of Heisenberg spin chainina certain situation[J].Journal of Guizhou University(贵州大学学报(自然科学版)),2007,24(3):244-246 (in Chinese). |
[20] | Pan Feng.Permutation group approach to the one-dimrnsional XXX Heisenberg open spin-1/2 chains[J].International Journal ofModern Physics,2004,C15:247-265. |
[21] | Pan Feng,Zhang Dan.The regularization structure of energy matrix of the model of Heisenberg open spin-1/2 chains in one dimension[J].Journal of Liaoning Normal University(辽宁师范大学学报(自然科学版)),2002,25(4):372-375 (in Chinese). |
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