期刊
PHYSICAL REVIEW B
卷 97, 期 4, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.97.045124
关键词
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资金
- JSPS KAKENHI [26400392, 17K05576]
- MEXT
- Grants-in-Aid for Scientific Research [17K05576, 26400392] Funding Source: KAKEN
We introduce an entanglement branching operator to split a composite entanglement flow in a tensor network which is a promising theoretical tool for many-body systems. We can optimize an entanglement branching operator by solving a minimization problem based on squeezing operators. The entanglement branching is a new useful operation to manipulate a tensor network. For example, finding a particular entanglement structure by an entanglement branching operator, we can improve a higher-order tensor renormalization group method to catch a proper renormalization flowin a tensor network space. This new method yields a new type of tensor network states. The second example is a many-body decomposition of a tensor by using an entanglement branching operator. We can use it for a perfect disentangling among tensors. Applying a many-body decomposition recursively, we conceptually derive projected entangled pair states from quantum states that satisfy the area law of entanglement entropy.
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