Experimental observation of classical analogy of topological entanglement entropy.
basic_science · Level V
Where this comes from
- Record sourced from PubMed, PMID 30952856.
- Also identified by DOI 10.1038/s41467-019-09584-1 and PMC identifier 6450868.
- Licence recorded as CC BY.
- The licence permits redistribution, so the abstract is shown in full and the full text is available from the publisher.
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 Z<sub>2</sub> topologically ordered state to topologically trivial state.