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Robust multipartite entanglement in dirty topological wires
by Luca Pezze' and Luca Lepori
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Submission summary
Authors (as registered SciPost users): | Luca Pezze |
Submission information | |
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Preprint Link: | scipost_202204_00008v1 (pdf) |
Date submitted: | April 5, 2022, 3:19 p.m. |
Submitted by: | Pezze, Luca |
Submitted to: | SciPost Physics |
Ontological classification | |
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Academic field: | Physics |
Specialties: |
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Approach: | Theoretical |
Abstract
Identifying and characterizing quantum phases of matter in the presence of long range correlations and/or spatial disorder is, generally, a challenging and relevant task. Here, we study a generalization of the Kiteav chain with variable-range pairing and different site-dependence of the chemical potential, addressing commensurable and incommensurable modulations as well as Anderson disorder. In particular, we analyze multipartite entanglement (ME) in the ground state of the dirty topological wires by studying the scaling of the quantum Fisher information (QFI) with the system's size. For nearest-neighbour pairing the Heisenberg scaling of the QFI is found in one-to-one correspondence with topological phases hosting Majorana modes. For finite-range pairing, we recognize long-range phases by the super-extensive scaling of the QFI and characterize complex lobe-structured phase diagrams. Overall, we observe that ME is robust against finite strengths of spatial inhomogeneity. This work contributes to establish ME as a central quantity to study intriguing aspects of topological systems.
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Strengths
2 Contextualization
Weaknesses
2 Method (multipartite entanglement) might not readily generalize to other more complicated topological phases
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Requested changes
Maybe the authors would like to consider exploring more aspects of entanglement in the Kitaev chain. 1. For instance, the Kitaev chain relates to the Ising model via Jordan Wigner transformation, which is sui generis non-local: (for a later discussion see e.g. https://arxiv.org/abs/1402.5262) How does multipartite entanglement depend on the basis in which the Schmidt decomposition is performed? 2. The authors talk about parametric variations of the chemical potential mu in their article. Could they also just simulate the evolution of entanglement under braiding which would be performed through the variation of mu? (see e.g. https://arxiv.org/abs/1703.03360)
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Requested changes
The authors should revise considerably the discussion explaining the importance/novelty of their results.