Ground state entanglement in quantum spin chains 论文

2003CaltechAUTHORS (California Institute of Technology)引用 308
Quantum many-body systemsQuantum Information and CryptographyQuantum Computing Algorithms and Architecture

详细信息

发表期刊/会议
CaltechAUTHORS (California Institute of Technology)
发表日期
2003-04-14
发表年份
2003

关键词

Quantum many-body systemsQuantum Information and CryptographyQuantum Computing Algorithms and Architecture

摘要

A microscopic calculation of ground state entanglement for the XY and Heisenberg models shows
\nthe emergence of universal scaling behavior at quantum phase transitions. Entanglement is thus
\ncontrolled by conformal symmetry. Away from the critical point, entanglement gets saturated by
\na mass scale. Results borrowed from conformal field theory imply irreversibility of entanglement
\nloss along renormalization group trajectories. Entanglement does not saturate in higher dimensions
\nwhich appears to limit the success of the density matrix renormalization group technique. A possible
\nconnection between majorization and renormalization group irreversibility emerges from our
\nnumerical analysis.