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27 April 2024 |
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Article overview
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Reversing the Li and Haldane conjecture: The low-lying entanglement spectrum can also resemble the bulk energy spectrum | | Menghan Song
; Jiarui Zhao
; Zheng Yan
; Zi Yang Meng
; | | Date: |
18 Oct 2022 | | Abstract: | We propose a physical picture based on the wormhole effect of the
path-integral formulation to explain the mechanism of entanglement spectrum
(ES), such that, our picture not only explains the topological state with
bulk-edge correspondence of the energy spectrum and ES (the Li and Haldane
conjecture), but is generically applicable to other systems independent of
their topological properties. We point out it is ultimately the relative
strength of bulk energy gap (multiplied with inverse temperature $eta = 1/T$)
with respect to the edge energy gap that determines the behavior of the
low-lying ES of the system. Depending on the circumstances, the ES can resemble
the energy spectrum of the virtual edge, but can also represent that of the
virtual bulk. We design models both in 1D and 2D to successfully demonstrate
the reversal of the Li and Haldane conjecture, i.e., the bulk-like low-lying
ES. Our results support the generality of viewing the ES as the wormhole effect
in the path integral. | | Source: | arXiv, 2210.10062 | | Services: | Forum | Review | PDF | Favorites | |
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