MERA网络的解析优化及其与量子可积性和小波的关系
Analytic Optimization of a MERA network and its Relevance to Quantum Integrability and Wavelet
摘要：
我提出了一个例子，如何分析优化一个有限的反铁磁海森堡链的多尺度纠缠重正化anomalization。为了这个目的，考虑到量子电路表示，我们构建了完全纠缠的基态，使一个平凡的IR状态被修改顺序通过操作单独的纠缠层（monodromy运营商）在每个尺度。电路表象使我们对纠缠重整化与量子可积性之间的密切关系有了一个简单的认识。我们发现纠缠子应该与$R$ -矩阵匹配，而不是简单的酉矩阵，并且发现这种优化导致了Bethe根与Daubechies小波系数之间的映射.
英文摘要：
I present an example of how to analytically optimize a multiscale entanglement renormalization ansatz for a finite antiferromagnetic Heisenberg chain. For this purpose, a quantum-circuit representation is taken into account, and we construct the exactly entangled ground state so that a trivial IR state is modified sequentially by operating separated entangler layers (monodromy operators) at each scale. The circuit representation allows us to make a simple understanding of close relationship between the entanglement renormalization and quantum integrability. We find that the entangler should match with the $R$-matrix, not a simple unitary, and also find that the optimization leads to the mapping between the Bethe roots and the Daubechies wavelet coefficients.
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