Experimental observation of classical analogy of topological entanglement entropy

Tian Chen, Shihao Zhang, Yi Zhang, Yulong Liu, Su-Peng Kou (), Houjun Sun () and Xiangdong Zhang ()
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Tian Chen: Beijing Institute of Technology
Shihao Zhang: Beijing Institute of Technology
Yi Zhang: Beijing Institute of Technology
Yulong Liu: Beijing Institute of Technology
Su-Peng Kou: Beijing Normal University
Houjun Sun: Beijing Institute of Technology
Xiangdong Zhang: Beijing Institute of Technology

Nature Communications, 2019, vol. 10, issue 1, 1-9

Abstract: Abstract Long-range entanglement is an important aspect of the topological orders, so efficient methods to characterize the long-range entanglement are often needed. In this regard, topological entanglement entropy (TEE) is often used for such a purpose but the experimental observation of TEE in a topological order remains a challenge. Here, we propose a scheme to observe TEE in the topological order by constructing specific minimum entropy states (MESs). We then experimentally construct the classical microwave analogs of the MESs and simulate the nontrivial topological order with the TEE in Kitaev toric code, which is in agreement with theoretical predictions. We also experimentally simulate the transition from Z2 topologically ordered state to topologically trivial state.

Date: 2019
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DOI: 10.1038/s41467-019-09584-1

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