A Class of Asymmetric Gapped Hamiltonians on Quantum Spin Chains and its Characterization I

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• 作者：Yoshiko Ogata
• 刊名：Communications in Mathematical Physics
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：348
• 期：3
• 页码：847-895
• 全文大小：895 KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mathematical and Computational Physics
  Quantum Physics
  Quantum Computing, Information and Physics
  Complexity
  Statistical Physics
  Relativity and Cosmology
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-0916
• 卷排序：348

文摘

We introduce a class of gapped Hamiltonians on quantum spin chains, which allows asymmetric edge ground states. This class is an asymmetric generalization of the class of Hamiltonians (Fannes et al. Commun Math Phys 144:443–490, 1992). It can be characterized by five qualitative physical properties of ground state structures. In this Part I, we introduce the models and investigate their properties.