Autor: |
Mula, Begoña, Santalla, Silvia N., Rodríguez-Laguna, Javier |
Rok vydání: |
2020 |
Předmět: |
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Zdroj: |
Phys. Rev. Research 3, 013062 (2021) |
Druh dokumentu: |
Working Paper |
DOI: |
10.1103/PhysRevResearch.3.013062 |
Popis: |
We characterize the Casimir forces for the Dirac vacuum on free-fermionic chains with smoothly varying hopping amplitudes, which correspond to (1+1)D curved spacetimes with a static metric in the continuum limit. The first-order energy potential for an obstacle on that lattice corresponds to the Newtonian potential associated to the metric, while the finite-size corrections are described by a curved extension of the conformal field theory predictions, including a suitable boundary term. We show that, for weak deformations of the Minkowski metric, Casimir forces measured by a local observer at the boundary are metric-independent. We provide numerical evidence for our results on a variety of (1+1)D deformations: Minkowski, Rindler, anti-de Sitter (the so-called rainbow system) and sinusoidal metrics. |
Databáze: |
arXiv |
Externí odkaz: |
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