XY自旋链的熵与块Toeplitz行列式
Entropy of XY Spin Chain and Block Toeplitz Determinants
摘要:
我们考虑无限长链上XY自旋模型的基态纠缠。我们使用子系统的冯诺伊曼熵作为纠缠度的度量。随着块的大小增加,相邻自旋的大块的熵接近常数。严格证明了以前发表的极限熵的表达式。我们观察到,熵在产物态达到最小值,但在相变无限增加。
英文摘要:
We consider entanglement in the ground state of the XY spin model on infinite chain. We use von Neumann entropy of a sub-system as a measure of entanglement. The entropy of a large block of neighboring spins approaches a constant as the size of the block increases. We prove rigorously expression for limiting entropy which was published before. We observe that the entropy reaches minimum at product states but increases boundlessly at phase transitions.
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