Optimal topological test for degeneracies of real Hamiltonians -: art. no. 060406

被引:18
|
作者
Johansson, N [1 ]
Sjöqvist, E [1 ]
机构
[1] Univ Uppsala, Dept Quantum Chem, S-75120 Uppsala, Sweden
关键词
D O I
10.1103/PhysRevLett.92.060406
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider adiabatic transport of eigenstates of real Hamiltonians around loops in parameter space. It is demonstrated that loops that map to nontrivial loops in the space of eigenbases must encircle degeneracies. Examples from Jahn-Teller theory are presented to illustrate the test. We show furthermore that the proposed test is optimal.
引用
收藏
页数:4
相关论文
共 50 条
  • [41] Reality of the fundamental topological structure in the QCD vacuum -: art. no. 034506
    Alexandru, A
    Horváth, I
    Zhang, JB
    PHYSICAL REVIEW D, 2005, 72 (03): : 1 - 5
  • [42] Topological order in the insulating Josephson junction array -: art. no. 107003
    Douçot, B
    Feigel'man, MV
    Ioffe, LB
    PHYSICAL REVIEW LETTERS, 2003, 90 (10)
  • [43] Degeneracies when only T=1 two-body interactions are present -: art. no. 054301
    Escuderos, A
    Bayman, BF
    Zamick, L
    Robinson, SJQ
    PHYSICAL REVIEW C, 2005, 72 (05):
  • [44] Optimal search strategies for hidden targets -: art. no. 198101
    Bénichou, O
    Coppey, M
    Moreau, M
    Suet, PH
    Voituriez, R
    PHYSICAL REVIEW LETTERS, 2005, 94 (19)
  • [45] Time-optimal quantum evolution - art. no. 060503
    Carlini, A
    Hosoya, A
    Koike, T
    Okudaira, Y
    PHYSICAL REVIEW LETTERS, 2006, 96 (06)
  • [46] Optimal partial estimation of multiple phases -: art. no. 012311
    Mista, L
    Fiurásek, J
    Filip, R
    PHYSICAL REVIEW A, 2005, 72 (01)
  • [47] Optimal conversion of nonlocal unitary operations -: art. no. 057901
    Dür, W
    Vidal, G
    Cirac, JI
    PHYSICAL REVIEW LETTERS, 2002, 89 (05) : 057901/1 - 057901/4
  • [48] Optimal symplectic approximation of Hamiltonian flows -: art. no. 114302
    Erdélyi, B
    Berz, M
    PHYSICAL REVIEW LETTERS, 2001, 87 (11) : 114302 - 114302
  • [49] Optimal encoding and decoding of a spin direction -: art. no. 052309
    Bagan, E
    Baig, M
    Brey, A
    Muñoz-Tapia, R
    Tarrach, R
    PHYSICAL REVIEW A, 2001, 63 (05): : 523091 - 523091
  • [50] Exchange part of the real α-nucleus potential -: art. no. 037603
    Ismail, M
    Osman, MM
    Salah, F
    PHYSICAL REVIEW C, 1999, 60 (03): : 3