Rogue waves and breathers in Heisenberg spin chain

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• 作者：Aritra K. Mukhopadhyay ; Vivek M. Vyas…
• 关键词：Solid State and Materials
• 刊名：The European Physical Journal B - Condensed Matter
• 出版年：2015
• 出版时间：July 2015
• 年：2015
• 卷：88
• 期：7
• 全文大小：1,205 KB
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• 作者单位：Aritra K. Mukhopadhyay (1)
  Vivek M. Vyas (2)
  Prasanta K. Panigrahi (3)
  
  1. Zentrum für Optische Quantentechnologien, Universit?t Hamburg, Luruper Chaussee 149, 22761, Hamburg, Germany
  2. Institute of Mathematical Sciences, IV Cross Road, CIT Campus, Taramani, 600113, Chennai, India
  3. Indian Institute of Science Education and Research (IISER) Kolkata, 741246, Mohanpur, India
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Condensed Matter
  Physics
  Complexity
  Fluids
  Solid State Physics and Spectroscopy
  Superconductivity, Superfluidity and Quantum Fluids
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1434-6036

文摘

Following the connection of the non-linear Schr?dinger equation with the continuum Heisenberg spin chain, we find the rogue soliton equivalent in the spin system. The breathers are also mapped to the corresponding space or time localized oscillatory modes, through the moving curve analogy. The spatio-temporal evolution of the curvature and torsion of the curve, underlying these dynamical systems, are explicated to illustrate the localization property of the rogue waves.