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Title: Entanglement convertibility by sweeping through the quantum phases of the alternating bonds XXZ chain
Authors: Tzeng, Yu-Chin
Dai, Li
Chung, Ming-Chiang
Amico, Luigi
Kwek, Leong-Chuan
Keywords: DRNTU::Science::Physics
Quantum Phase Transition
Entanglement Convertibility
Issue Date: 2016
Source: Tzeng, Y.-C., Dai, L., Chung, M.-C., Amico, L., & Kwek, L.-C. (2016). Entanglement convertibility by sweeping through the quantum phases of the alternating bonds XXZ chain. Scientific Reports, 6, 26453-. doi:10.1038/srep26453
Series/Report no.: Scientific Reports
Abstract: We study the entanglement structure and the topological edge states of the ground state of the spin-1/2 XXZ model with bond alternation. We employ parity-density matrix renormalization group with periodic boundary conditions. The finite-size scaling of Rényi entropies S2 and S∞ are used to construct the phase diagram of the system. The phase diagram displays three possible phases: Haldane type (an example of symmetry protected topological ordered phases), Classical Dimer and Néel phases, the latter bounded by two continuous quantum phase transitions. The entanglement and non-locality in the ground state are studied and quantified by the entanglement convertibility. We found that, at small spatial scales, the ground state is not convertible within the topological Haldane dimer phase. The phenomenology we observe can be described in terms of correlations between edge states. We found that the entanglement spectrum also exhibits a distinctive response in the topological phase: the effective rank of the reduced density matrix displays a specifically large “susceptibility” in the topological phase. These findings support the idea that although the topological order in the ground state cannot be detected by local inspection, the ground state response at local scale can tell the topological phases apart from the non-topological phases.
DOI: 10.1038/srep26453
Research Centres: Institute of Advanced Studies 
Rights: © 2016 The Authors (Nature Publishing Group). This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit
Fulltext Permission: open
Fulltext Availability: With Fulltext
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