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
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".
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