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arXiv 0802.2472quant-phcond-mat.str-el
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二维系统研究中的序列生成态

Sequentially generated states for the study of two dimensional systems

Mari-Carmen Bañuls, David Pérez-García, Michael M. Wolf, Frank Verstraete, J. Ignacio Cirac

摘要:

矩阵乘积态可以定义为在一维系统中连续产生的量子态族。我们引入了一个新的家庭的状态,扩展到两个维度的定义。与矩阵乘积状态类似,可以有效地估计少数体观测量的期望值,并且对于非线性不变系统,关联函数随距离呈指数衰减。我们表明,这种状态是一个子类的投影纠缠对状态,并调查他们的适合近似的基态的本地哈密顿量。

英文摘要:

Matrix Product States can be defined as the family of quantum states that can be sequentially generated in a one-dimensional system. We introduce a new family of states which extends this definition to two dimensions. Like in Matrix Product States, expectation values of few body observables can be efficiently evaluated and, for the case of translationally invariant systems, the correlation functions decay exponentially with the distance. We show that such states are a subclass of Projected Entangled Pair States and investigate their suitability for approximating the ground states of local 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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