Quantum phase transitions in matrix product systems

被引：121

作者：

Wolf, Michael M.

Ortiz, Gerardo

Verstraete, Frank

Cirac, J. Ignacio

机构：

[1] Max Planck Inst Quantum Opt, D-85748 Garching, Germany

[2] Indiana Univ, Dept Phys, Bloomington, IN 47405 USA

[3] CALTECH, Inst Quantum Informat, Pasadena, CA 91125 USA

来源：

PHYSICAL REVIEW LETTERS | 2006年 / 97卷 / 11期

关键词：

D O I：

10.1103/PhysRevLett.97.110403

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate quantum phase transitions (QPTs) in spin chain systems characterized by local Hamiltonians with matrix product ground states. We show how to theoretically engineer such QPT points between states with predetermined properties. While some of the characteristics of these transitions are familiar, like the appearance of singularities in the thermodynamic limit, diverging correlation length, and vanishing energy gap, others differ from the standard paradigm: In particular, the ground state energy remains analytic, and the entanglement entropy of a half-chain stays finite. Examples demonstrate that these kinds of transitions can occur at the triple point of "conventional" QPTs.

引用

页数：4

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