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Measuring entanglement entropy and its topological signature for phononic systems

Author

Listed:
  • Zhi-Kang Lin

    (Soochow University)

  • Yao Zhou

    (Sun Yat-sen University)

  • Bin Jiang

    (University of Science and Technology of China)

  • Bing-Quan Wu

    (Soochow University)

  • Li-Mei Chen

    (Sun Yat-sen University)

  • Xiao-Yu Liu

    (Soochow University)

  • Li-Wei Wang

    (Soochow University)

  • Peng Ye

    (Sun Yat-sen University)

  • Jian-Hua Jiang

    (Soochow University
    University of Science and Technology of China
    University of Science and Technology of China)

Abstract

Entanglement entropy is a fundamental concept with rising importance in various fields ranging from quantum information science, black holes to materials science. In complex materials and systems, entanglement entropy provides insight into the collective degrees of freedom that underlie the systems’ complex behaviours. As well-known predictions, the entanglement entropy exhibits area laws for systems with gapped excitations, whereas it follows the Gioev-Klich-Widom scaling law in gapless fermion systems. However, many of these fundamental predictions have not yet been confirmed in experiments due to the difficulties in measuring entanglement entropy in physical systems. Here, we report the experimental verification of the above predictions by probing the nonlocal correlations in phononic systems. We obtain the entanglement entropy and entanglement spectrum for phononic systems with the fermion filling analog. With these measurements, we verify the Gioev-Klich-Widom scaling law. We further observe the salient signatures of topological phases in entanglement entropy and entanglement spectrum.

Suggested Citation

  • Zhi-Kang Lin & Yao Zhou & Bin Jiang & Bing-Quan Wu & Li-Mei Chen & Xiao-Yu Liu & Li-Wei Wang & Peng Ye & Jian-Hua Jiang, 2024. "Measuring entanglement entropy and its topological signature for phononic systems," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
  • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-45887-8
    DOI: 10.1038/s41467-024-45887-8
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    References listed on IDEAS

    as
    1. Tian Chen & Shihao Zhang & Yi Zhang & Yulong Liu & Su-Peng Kou & Houjun Sun & Xiangdong Zhang, 2019. "Experimental observation of classical analogy of topological entanglement entropy," Nature Communications, Nature, vol. 10(1), pages 1-9, December.
    2. Rajibul Islam & Ruichao Ma & Philipp M. Preiss & M. Eric Tai & Alexander Lukin & Matthew Rispoli & Markus Greiner, 2015. "Measuring entanglement entropy in a quantum many-body system," Nature, Nature, vol. 528(7580), pages 77-83, December.
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