|Table of Contents|

Quantum Phase Transitions of One-Dimensional XX-ZZ Model(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2010年04期
Page:
58-62
Research Field:
物理学
Publishing date:

Info

Title:
Quantum Phase Transitions of One-Dimensional XX-ZZ Model
Author(s):
Zhong Ming; Liu Xiaoxian
School of Physics and Technology,Nanjing Normal University,Nanjing 210097,China
Keywords:
quantum XX-ZZ mode; l quantum phase transition;  concurrence;  fidelity;  Lee-Yang zeros
PACS:
O431.2
DOI:
-
Abstract:
The quantum phase transitions o f one-d im ensiona lXX-ZZ m ode l are d iscussed. The behav iors o f concurrence, fidelity near the critical po ints and the distribution o f Lee-Yang zero s are stud ied num er ica lly. It is found that the behav iors o f fide lity and Lee-Yang zero s can d istingu ish the first order and second order phase transitions. But the concurrence can only character ize the second o rder phase trans ition o f th is m odel .

References:

[ 1] Kug el K, Khom sk ii D. The Jahn-Te ller effect and magnetism: transition m eta l compounds[ J]. Sov Phy s U sp, 1982, 25 ( 4): 231-256.
[ 2] Kug el K, Khom sk ii D. O rb ital and m agnetic struc ture o f tw o-dim ensiona l fe rromagnets w ith Jahn-Teller ions[ J]. Sov Phy s JETP, 1973, 37( 7): 725-728.
[ 3] Brzezick iW, Dziarm aga J, O les A M. Quantum phase transition in the one-d im ensiona l com pass m ode l[ J]. Phys Rev B, 2007, 75( 13): 134415.
[ 4] Er iksson E, Johannesson H. M ulticriticality and en tang lem ent in the one-d imensional quantum compassm ode l[ J]. Phys Rev B, 2009, 79( 22): 224424.
[ 5] Am ico L, Fa zio R, Oste rloh A, et a.l Entang lem en t in m any-body sy stem s[ J]. RevM od Phys, 2008, 80( 2) : 517-576.
[ 6] O ster loh A, Am ico L, Fa lci G, e t a.l Scaling of entang lement c lose to a quantum phase trans ition[ J] . Nature, 2002, 416: 608-610.
[ 7] O sborne T, N ie lsenM. Entang lem ent in a sim ple quantum phase transition[ J]. Phys Rev A, 2002, 66( 3): 032110.
[ 8] Bose I, Cha ttopadhyayE. M acroscop ic entang lem ent jumps in m ode l sp in system s[ J] . Phys Rev A, 2002, 66( 6): 062320.
[ 9] V ida l J, Mo sse ri R, Dukelsky J. Entang lem en t in a first-orde r quantum phase trans ition [ J]. Phys Rev A, 2004, 69( 5): 054101.
[ 10] Wu L, Sarandy M S, L ida r D A. Quantum phase trans itions and bipa rtite entang lem ent[ J]. Phys Rev Lett, 2004, 93 ( 25): 250404.
[ 11] Zanardi P, Paunkov ic N. Ground state overlap and quantum phase trans itions[ J]. Phys Rev E, 2006, 74( 3) : 031123.
[ 12] Buonsante P, Vezzani A. G round-state fidelity and b ipartite entang lem ent in the Bo se-H ubba rd m ode l[ J]. Phys Rev Lett, 2007, 98( 11): 110601.
[ 13] Chen S, W ang L, H aoY, et a .l In trins ic re lation be tw een ground-state fide lity and the characterization of a quantum phase transition[ J] . Phy s Rev A, 2008, 77( 3): 032111.
[ 14] Yang C, Lee T. Sta tistica l theory o f equa tions o f state and phase transitions (Ⅰ ). Theo ry o f condensation[ J]. Phy s Rev, 1952, 87( 3): 404-409.
[ 15] Lee T, Yang C. Statistica l theory of equations of state and phase transitions ( Ⅱ ). Lattice gas and Ising m ode l[ J]. Phy s Rev, 1952, 87( 3) : 410-419.

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Last Update: 2013-04-08