Mapping local Hamiltonians of fermions to local Hamiltonians of spins

被引：138
|
作者：
Verstraete, F [1 ]
Cirac, JI
机构：
[1] CALTECH, Inst Quantum Informat, Pasadena, CA 91125 USA
[2] Max Planck Inst Quantum Opt, D-85748 Garching, Germany
来源：
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2005年
关键词：
rigorous results in statistical mechanics; Hubbard model (theory); spin chains; ladders and planes (theory); density matrix renormalization group calculations;
D O I：
10.1088/1742-5468/2005/09/P09012
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
We show how to map local fermionic problems onto local spin problems on a lattice in any dimension. The main idea is to introduce auxiliary degrees of freedom, represented by Majorana fermions, which allow us to extend the Jordan-Wigner transformation to dimensions higher than one. We also discuss the implications of our results in the numerical investigation of fermionic systems.
引用
收藏
页码：305 / 314
页数：10
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