Violation of the area law and long-range correlations in infinite-dimensional-matrix product states

被引：12

作者：

Nielsen, Anne E. B. ^{[1
]}

Sierra, German ^{[2
]}

Cirac, J. Ignacio ^{[1
]}

机构：

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

[2] UAM CSIC, Inst Fis Teor, ES-28049 Madrid, Spain

来源：

PHYSICAL REVIEW A | 2011年 / 83卷 / 05期

关键词：

ENTROPY;

D O I：

10.1103/PhysRevA.83.053807

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We propose to construct a family of states of one-dimensional spin chains by replacing the finite-dimensional matrices in matrix product states by infinite-dimensional operators constructed from bosonic annihilation and creation operators. The resulting states are demonstrated to violate the area law and to exhibit long-range correlations. In addition, we propose an efficient way to prepare the states experimentally, in which the spins interact sequentially with an ancilla system.

引用

页数：12

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