Quantum phase transitions in the interacting boson model:: Integrability, level repulsion, and level crossing -: art. no. 162502

被引:55
|
作者
Arias, JM
Dukelsky, J
García-Ramos, JE
机构
[1] Univ Sevilla, Fac Fis, Dept Fis Atom Mol & Nucl, E-41080 Seville, Spain
[2] CSIC, Inst Estructura Mat, E-28006 Madrid, Spain
[3] Univ Huelva, Dept Fis Aplicada, Huelva 21071, Spain
关键词
D O I
10.1103/PhysRevLett.91.162502
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the quantum phase transition mechanisms that arise in the interacting boson model. We show that the second-order nature of the phase transition from U(5) to O(6) may be attributed to quantum integrability, whereas all the first-order phase transitions of the model are due to level repulsion with one singular point of level crossing. We propose a model Hamiltonian with a true first-order phase transition for finite systems due to level crossings.
引用
收藏
页数:4
相关论文
共 50 条
  • [41] Spin instabilities and quantum phase transitions in integral and fractional quantum Hall states -: art. no. 201301
    Wójs, A
    Quinn, JJ
    PHYSICAL REVIEW B, 2002, 65 (20) : 1 - 4
  • [42] Observation of magnetic level repulsion in Fe6:Li molecular antiferromagnetic rings -: art. no. 167201
    Affronte, M
    Cornia, A
    Lascialfari, A
    Borsa, F
    Gatteschi, D
    Hinderer, J
    Horvatic, M
    Jansen, AGM
    Julien, MH
    PHYSICAL REVIEW LETTERS, 2002, 88 (16) : 1672011 - 1672014
  • [43] Partial-state fidelity and quantum phase transitions induced by continuous level crossing
    Kwok, Ho-Man
    Ho, Chun-Sing
    Gu, Shi-Jian
    PHYSICAL REVIEW A, 2008, 78 (06):
  • [44] Asymptotically optimal quantum circuits for d-level systems -: art. no. 230502
    Bullock, SS
    O'Leary, DP
    Brennen, GK
    PHYSICAL REVIEW LETTERS, 2005, 94 (23)
  • [45] Quantum computation based on d-level cluster state -: art. no. 062303
    Zhou, DL
    Zeng, B
    Xu, Z
    Sun, CP
    PHYSICAL REVIEW A, 2003, 68 (06):
  • [46] Constraints on relaxation rates for N-level quantum systems -: art. no. 022107
    Schirmer, SG
    Solomon, AI
    PHYSICAL REVIEW A, 2004, 70 (02): : 022107 - 1
  • [47] Use of the independent-particle model to treat curve-crossing transitions -: art. no. 032714
    Errea, LF
    Macías, A
    Méndez, L
    Riera, A
    PHYSICAL REVIEW A, 2001, 64 (03): : 8
  • [48] Is there a proton-neutron interacting boson model rule for M1 properties?: art. no. 037302
    Barrett, BR
    Kuyucak, S
    Navrátil, P
    Van Isacker, P
    PHYSICAL REVIEW C, 1999, 60 (03): : 4
  • [49] β4 potential at the U(5)-O(6) critical point of the interacting boson model -: art. no. 037301
    García-Ramos, JE
    Dukelsky, J
    Arias, JM
    PHYSICAL REVIEW C, 2005, 72 (03):
  • [50] Quantum phase transitions in the two-dimensional J1-J2 model -: art. no. 104420
    Sushkov, OP
    Oitmaa, J
    Zheng, WH
    PHYSICAL REVIEW B, 2001, 63 (10) : 4