论文标题

符合量子基模型基底状态的纠缠的均匀结合,该模型具有较大的横向磁场

Uniform bound of the entanglement for the ground state of the quantum Ising model with large transverse magnetic field

论文作者

Campanino, Massimo, Gianfelice, Michele

论文摘要

我们考虑具有有限体积\ [λ{_ {m}:= \ { - m,-m+1,\ ldots,m+l \} \。} \。}%\]的量子液体模型的基态状态在一个维度中$ h $在一个维度中\ [λ{_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_ {_} 0,..,l \ right \} $相对于其补充$λ_{m} \backslashλ_{0} $,在$ m $和$ l $中是均匀的。通过合适的群集扩展建立结合。

We consider the ground state of the quantum Ising model with transverse field $h$ in one dimension in a finite volume \[ Λ{_{m}:=\{-m,-m+1,\ldots,m+L\}\ .}% \] For $h$ sufficiently large we prove a bound for the entanglement of the interval $Λ_{0}:=\left\{ 0,..,L\right\} $ relative to its complement $Λ_{m}\backslashΛ_{0}$ which is uniform in $m$ and $L$. The bound is established by means of a suitable cluster expansion.

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