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Detecting the Haldane Insulator by Breaking the Chain

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Abstract

The topological Haldane phase is one of the most important prototypes in the topological phases of matter. Its counterpart in quantum gases, namely the Haldane insulator in a bosonic system, has been elusive since the first proposal in 2006. A typical way to detect this phase is by measuring its nonlocal string order. Here we propose an alternative way, by breaking the Haldane insulator. By carefully considering the edge effects, we can see the half-chain entanglement entropy and its spectrum remain relatively robust during the dynamical process. Our results are hopefully to be realized in the following cold atoms experiments.

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Acknowledgements

This research is supported by Fundamental Research Funds for the Central Universities (No. FRF-TP-19-013A3).

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  1. Institute of Theoretical Physics, University of Science and Technology Beijing, Beijing, 100083, China

    Junjun Xu

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  1. Junjun Xu
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JX carried out the research and prepared the whole manuscript.

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Correspondence to Junjun Xu.

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Xu, J. Detecting the Haldane Insulator by Breaking the Chain. J Low Temp Phys 210, 251–259 (2023). https://doi.org/10.1007/s10909-022-02877-8

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  • DOI: https://doi.org/10.1007/s10909-022-02877-8

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