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arXiv 1111.5817quant-phcond-mat.str-el
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使用PEPS形式体系的复曲面代码的无间隙哈密顿量

Gapless Hamiltonians for the toric code using the PEPS formalism

Carlos Fernández-González, Norbert Schuch, Michael M. Wolf, J. Ignacio Cirac, David Pérez-García

摘要:

我们研究的哈密顿Kitaev的复曲面代码作为基态,并展示如何构建一个哈密顿共享的复曲面代码的地面空间,但它有一个连续谱的热力学极限的无间隙激发。我们的构造是基于投影纠缠对态(PEPS)的框架,并可以应用到一个大类的二维系统,以获得无隙的“叔叔哈密顿量”。

英文摘要:

We study Hamiltonians which have Kitaev's toric code as a ground state, and show how to construct a Hamiltonian which shares the ground space of the toric code, but which has gapless excitations with a continuous spectrum in the thermodynamic limit. Our construction is based on the framework of Projected Entangled Pair States (PEPS), and can be applied to a large class of two-dimensional systems to obtain gapless "uncle Hamiltonians".

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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