Sine-square deformation and supersymmetric quantum mechanics

書誌事項

公開日
2015-10-15
資源種別
journal article
権利情報
  • http://iopscience.iop.org/info/page/text-and-data-mining
  • http://iopscience.iop.org/page/copyright
DOI
  • 10.1088/1751-8113/48/44/445208
  • 10.48550/arxiv.1505.07904
公開者
IOP Publishing

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説明

We investigate the sine-square deformation (SSD) of free fermions in one-dimensional continuous space. On the basis of supersymmetric quantum mechanics, we prove the correspondence between the many-body ground state of the system with SSD and that of the uniform system with periodic boundary conditions. We also discuss the connection between the SSD in the continuous space and its lattice version, where the geometric correction due to the real-space deformation plays an important role in relating the eigenstates of the lattice SSD with those of the continuous SSD.

18 pages, 3 figures; v2: typos corrected, references updated

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