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  • Letter
  • Open Access

Constructing quantum dark solitons with stable scattering properties

Yuki Ishiguro1, Jun Sato2, Takahiro Ezaki3, and Katsuhiro Nishinari3

  • 1Department of Aeronautics and Astronautics, Faculty of Engineering, The University of Tokyo,7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan
  • 2Faculty of Engineering, Tokyo Polytechnic University, 1583 Iiyama, Atsugi, Kanagawa 243-0297, Japan
  • 3Research Center for Advanced Science and Technology, The University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8904, Japan

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Phys. Rev. Research 4, L032047 – Published 30 September, 2022

DOI: https://doi.org/10.1103/PhysRevResearch.4.L032047

Abstract

A soliton is a class of solitary-wave solutions having specific mathematical properties, which universally appears in integrable systems. A quantum dark soliton is an emerging concept having theoretical and experimental relevance. Although recent studies have proposed quantum states with density profiles similar to those of classical dark solitons, the concept of quantum dark solitons is not yet fully established in that their collision dynamics have not been examined. Here, we first construct dark soliton states that possess stable scattering properties that are unique to solitons using the Lieb-Liniger model, establishing a direct link between quantum and classical dark soliton theories.

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Phys. Rev. Research 4, L032047– Published 30 September, 2022
  • Received 3 March 2022
  • Accepted 22 August 2022
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