Quantum instability and edge entanglement in the quasi-long-range order

作者: W. Son , L. Amico , F. Plastina , V. Vedral

DOI: 10.1103/PHYSREVA.79.022302

关键词:

摘要: We investigate the buildup of quasi-long-range order in $XX$ chain with a transverse magnetic field at finite size. As is varied, ground state system displays multiple level crossings producing sequence entanglement jumps. Using partial fidelity and susceptibility, we study transition to thermodynamic limit argue that topological can be described terms kink-antikink pairs marked by edge spin entanglement.

参考文章(27)
Subir Sachdev, Quantum phase transitions Physics World. ,vol. 12, pp. 33- 38 ,(1999) , 10.1088/2058-7058/12/4/23
J M Kosterlitz, D J Thouless, Ordering, metastability and phase transitions in two-dimensional systems Journal of Physics C: Solid State Physics. ,vol. 6, pp. 1181- 1203 ,(1973) , 10.1088/0022-3719/6/7/010
Ian Affleck, Tom Kennedy, Elliott H. Lieb, Hal Tasaki, Rigorous Results on Valence-Bond Ground States in Antiferromagnets Physical Review Letters. ,vol. 59, pp. 799- 802 ,(1987) , 10.1103/PHYSREVLETT.59.799
Luigi Amico, Rosario Fazio, Andreas Osterloh, Vlatko Vedral, Entanglement in many-body systems Reviews of Modern Physics. ,vol. 80, pp. 517- 576 ,(2008) , 10.1103/REVMODPHYS.80.517
Eduardo Fradkin, Leonard Susskind, Order and disorder in gauge systems and magnets Physical Review D. ,vol. 17, pp. 2637- 2658 ,(1978) , 10.1103/PHYSREVD.17.2637
Vladimír Bužek, Miguel Orszag, Marián Roško, Instability and entanglement of the ground state of the Dicke model. Physical Review Letters. ,vol. 94, pp. 163601- 163601 ,(2005) , 10.1103/PHYSREVLETT.94.163601
H. T. Quan, Z. Song, X. F. Liu, P. Zanardi, C. P. Sun, Decay of Loschmidt echo enhanced by quantum criticality. Physical Review Letters. ,vol. 96, pp. 140604- ,(2006) , 10.1103/PHYSREVLETT.96.140604
Paolo Zanardi, Nikola Paunković, Ground state overlap and quantum phase transitions. Physical Review E. ,vol. 74, pp. 031123- ,(2006) , 10.1103/PHYSREVE.74.031123
Shigetoshi Katsura, Statistical Mechanics of the Anisotropic Linear Heisenberg Model Physical Review. ,vol. 127, pp. 1508- 1518 ,(1962) , 10.1103/PHYSREV.127.1508