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

来源：

PHYSICAL REVIEW LETTERS | 2003年 / 91卷 / 16期

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

页数：4

共 15 条

[1] CHAOTIC PROPERTIES OF THE INTERACTING-BOSON MODEL - A DISCOVERY OF A NEW REGULAR REGION[J]. ALHASSID, Y;WHELAN, N. PHYSICAL REVIEW LETTERS, 1991(07)
[2] THE INTERACTING BOSON APPROXIMATION[J]. CASTEN, RF;WARNER, DD. REVIEWS OF MODERN PHYSICS, 1988(02)
[3] Wave-function entropy and dynamical symmetry breaking in the interacting boson model[J]. Cejnar, P;Jolie, J. PHYSICAL REVIEW E, 1998(01)
[4] CLASSICAL LIMIT OF THE INTERACTING-BOSON MODEL[J]. DIEPERINK, AEL;SCHOLTEN, O;IACHELLO, F. PHYSICAL REVIEW LETTERS, 1980(26)
[5] Class of exactly solvable pairing models[J]. Dukelsky, J;Esebbag, C;Schuck, P. PHYSICAL REVIEW LETTERS, 2001(06)
[6] DUKELSKY J, NUCLTH0310031
[7] PHASE-TRANSITIONS AND THE GEOMETRIC-PROPERTIES OF THE INTERACTING BOSON MODEL[J]. FENG, DH;GILMORE, R;DEANS, SR. PHYSICAL REVIEW C, 1981(03)
[8] Dynamic symmetries at the critical point[J]. Iachello, F. PHYSICAL REVIEW LETTERS, 2000(17)
[9] Analytic description of critical point nuclei in a spherical-axially deformed shape phase transition[J]. Iachello, F. PHYSICAL REVIEW LETTERS, 2001(05)
[10] Iachello F., 1987, Cambridge Monographs on Mathematical Physics

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