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arXiv quant-ph/0602230quant-phcond-mat.stat-mech
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任意维强相互作用系统的基态近似

Ground state approximation for strongly interacting systems in arbitrary dimension

S. Anders, M. B. Plenio, W. Dür, F. Verstraete, H. -J. Briegel

摘要:

本文介绍一种变分方法,用于任意几何和空间维强相互作用自旋系统的基态的近似。该方法是基于加权图状态及其叠加。这些状态允许有效地计算所有的局部可观测量(例如能量),并包括具有发散相关长度和无界多粒子纠缠的状态。作为演示,我们将我们的方法应用到伊辛模型的一维,二维和三维正方形晶格。我们还提出了更高的自旋和连续变量系统,这使得调查的晶格场论的推广。

英文摘要:

We introduce a variational method for the approximation of ground states of strongly interacting spin systems in arbitrary geometries and spatial dimensions. The approach is based on weighted graph states and superpositions thereof. These states allow for the efficient computation of all local observables (e.g. energy) and include states with diverging correlation length and unbounded multi-particle entanglement. As a demonstration we apply our approach to the Ising model on 1D, 2D and 3D square-lattices. We also present generalizations to higher spins and continuous-variable systems, which allows for the investigation of lattice field theories.

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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