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.
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收藏
页数：12
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