Remnants of the nonrelativistic Casimir effect on the lattice
| Autor: | Nakayama, Katsumasa, Suzuki, Kei |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: |
High Energy Physics - Theory
massive [particle] linear [dispersion relation] FOS: Physical sciences relativistic [particle] dispersion relation: linear particle: massive High Energy Physics - Lattice effect: Casimir Mesoscale and Nanoscale Physics (cond-mat.mes-hall) ddc:530 lattice Quantum Physics particle: relativistic Condensed Matter - Mesoscale and Nanoscale Physics High Energy Physics - Lattice (hep-lat) energy: zero-point Casimir [effect] nonrelativistic [particle] particle: nonrelativistic High Energy Physics - Theory (hep-th) zero-point [energy] dispersion Quantum Physics (quant-ph) |
| Zdroj: | Physical review research 5(2), L022054 (2023). doi:10.1103/PhysRevResearch.5.L022054 |
| DOI: | 10.1103/PhysRevResearch.5.L022054 |
| Popis: | Physical review research 5(2), L022054 (2023). doi:10.1103/PhysRevResearch.5.L022054 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. Published by APS, College Park, MD |
| Databáze: | OpenAIRE |
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