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@ARTICLE{Nakayama:586749,
      author       = {Nakayama, Katsumasa and Suzuki, Kei},
      title        = {{R}emnants of the nonrelativistic {C}asimir effect on the
                      lattice},
      journal      = {Physical review research},
      volume       = {5},
      number       = {2},
      issn         = {2643-1564},
      address      = {College Park, MD},
      publisher    = {APS},
      reportid     = {PUBDB-2023-03987, arXiv:2204.12032},
      pages        = {L022054},
      year         = {2023},
      note         = {Phys. Rev. Research 5, L022054 (2023). 6+4 pages, 5+2
                      figures; published version},
      abstract     = {The Casimir effect is a fundamental quantum phenomenon
                      induced by the zero-point energy for a quantum field. It is
                      well known for relativistic fields with a linear dispersion
                      relation, while its existence or absence for nonrelativistic
                      fields with a quadratic dispersion is an unsettled question.
                      Here, we investigate the Casimir effects for various
                      dispersion relations on the lattice. We find that Casimir
                      effects for dispersions proportional to an even power of
                      momentum are absent in a long distance but a remnant of the
                      Casimir effect survives in a short distance. Such a remnant
                      Casimir effect will be experimentally observed in materials
                      with quantum fields on the lattice, such as thin films,
                      narrow nanoribbons, and short nanowires. In terms of this
                      effect, we also give a reinterpretation of the Casimir
                      effect for massive fields.},
      keywords     = {effect: Casimir (INSPIRE) / particle: relativistic
                      (INSPIRE) / dispersion relation: linear (INSPIRE) / energy:
                      zero-point (INSPIRE) / particle: nonrelativistic (INSPIRE) /
                      particle: massive (INSPIRE) / lattice (INSPIRE) / dispersion
                      (INSPIRE)},
      cin          = {$Z_ZPPT$ / ZEU-THEO},
      ddc          = {530},
      cid          = {$I:(DE-H253)Z_ZPPT-20210408$ /
                      I:(DE-H253)ZEU-THEO-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611)},
      pid          = {G:(DE-HGF)POF4-611},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)16},
      eprint       = {2204.12032},
      howpublished = {arXiv:2204.12032},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2204.12032;\%\%$},
      UT           = {WOS:001021822400002},
      doi          = {10.1103/PhysRevResearch.5.L022054},
      url          = {https://bib-pubdb1.desy.de/record/586749},
}