000586749 001__ 586749 000586749 005__ 20250724131901.0 000586749 0247_ $$2doi$$a10.1103/PhysRevResearch.5.L022054 000586749 0247_ $$2INSPIRETeX$$aNakayama:2022ild 000586749 0247_ $$2inspire$$ainspire:2073041 000586749 0247_ $$2arXiv$$aarXiv:2204.12032 000586749 0247_ $$2datacite_doi$$a10.3204/PUBDB-2023-03987 000586749 0247_ $$2altmetric$$aaltmetric:150107891 000586749 0247_ $$2WOS$$aWOS:001021822400002 000586749 0247_ $$2openalex$$aopenalex:W4380996379 000586749 037__ $$aPUBDB-2023-03987 000586749 041__ $$aEnglish 000586749 082__ $$a530 000586749 088__ $$2arXiv$$aarXiv:2204.12032 000586749 1001_ $$0P:(DE-H253)PIP1090725$$aNakayama, Katsumasa$$b0$$eCorresponding author$$udesy 000586749 245__ $$aRemnants of the nonrelativistic Casimir effect on the lattice 000586749 260__ $$aCollege Park, MD$$bAPS$$c2023 000586749 3367_ $$2DRIVER$$aarticle 000586749 3367_ $$2DataCite$$aOutput Types/Journal article 000586749 3367_ $$0PUB:(DE-HGF)16$$2PUB:(DE-HGF)$$aJournal Article$$bjournal$$mjournal$$s1688644281_2082078 000586749 3367_ $$2BibTeX$$aARTICLE 000586749 3367_ $$2ORCID$$aJOURNAL_ARTICLE 000586749 3367_ $$00$$2EndNote$$aJournal Article 000586749 500__ $$aPhys. Rev. Research 5, L022054 (2023). 6+4 pages, 5+2 figures; published version 000586749 520__ $$aThe Casimir effect is a fundamental quantum phenomenon induced by the zero-point energy for a quantum field. It is well known for relativistic fields with a linear dispersion relation, while its existence or absence for nonrelativistic fields with a quadratic dispersion is an unsettled question. Here, we investigate the Casimir effects for various dispersion relations on the lattice. We find that Casimir effects for dispersions proportional to an even power of momentum are absent in a long distance but a remnant of the Casimir effect survives in a short distance. Such a remnant Casimir effect will be experimentally observed in materials with quantum fields on the lattice, such as thin films, narrow nanoribbons, and short nanowires. In terms of this effect, we also give a reinterpretation of the Casimir effect for massive fields. 000586749 536__ $$0G:(DE-HGF)POF4-611$$a611 - Fundamental Particles and Forces (POF4-611)$$cPOF4-611$$fPOF IV$$x0 000586749 588__ $$aDataset connected to CrossRef, INSPIRE, Journals: bib-pubdb1.desy.de 000586749 650_7 $$2INSPIRE$$aeffect: Casimir 000586749 650_7 $$2INSPIRE$$aparticle: relativistic 000586749 650_7 $$2INSPIRE$$adispersion relation: linear 000586749 650_7 $$2INSPIRE$$aenergy: zero-point 000586749 650_7 $$2INSPIRE$$aparticle: nonrelativistic 000586749 650_7 $$2INSPIRE$$aparticle: massive 000586749 650_7 $$2INSPIRE$$alattice 000586749 650_7 $$2INSPIRE$$adispersion 000586749 693__ $$0EXP:(DE-MLZ)NOSPEC-20140101$$5EXP:(DE-MLZ)NOSPEC-20140101$$eNo specific instrument$$x0 000586749 7001_ $$0P:(DE-HGF)0$$aSuzuki, Kei$$b1$$eCorresponding author 000586749 773__ $$0PERI:(DE-600)3004165-X$$a10.1103/PhysRevResearch.5.L022054$$gVol. 5, no. 2, p. 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