TY  - JOUR
AU  - Nakayama, Katsumasa
AU  - Suzuki, Kei
TI  - Remnants of the nonrelativistic Casimir effect on the lattice
JO  - Physical review research
VL  - 5
IS  - 2
SN  - 2643-1564
CY  - College Park, MD
PB  - APS
M1  - PUBDB-2023-03987
M1  - arXiv:2204.12032
SP  - L022054
PY  - 2023
N1  - Phys. Rev. Research 5, L022054 (2023). 6+4 pages, 5+2 figures; published version
AB  - 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.
KW  - effect: Casimir (INSPIRE)
KW  - particle: relativistic (INSPIRE)
KW  - dispersion relation: linear (INSPIRE)
KW  - energy: zero-point (INSPIRE)
KW  - particle: nonrelativistic (INSPIRE)
KW  - particle: massive (INSPIRE)
KW  - lattice (INSPIRE)
KW  - dispersion (INSPIRE)
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:001021822400002
DO  - DOI:10.1103/PhysRevResearch.5.L022054
UR  - https://bib-pubdb1.desy.de/record/586749
ER  -