Related papers: Casimir forces on deformed fermionic chains

Casimir forces on deformed fermionic chains

URL: http://arxiv.org/abs/2004.12456v3
Date: Wed, 20 Jan 2021 19:21:54 GMT
Title: Casimir forces on deformed fermionic chains
Authors: Bego\~na Mula, Silvia N. Santalla, Javier Rodr\'iguez-Laguna
Abstract summary: We characterize the Casimir forces for the Dirac vacuum on free-fermionic chains with smoothly varying hopping amplitudes. For weak deformations of the Minkowski metric, Casimir forces measured by a local observer at the boundary are metric-independent.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: 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.

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