Casimir forces on deformed fermionic chains

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.

References in corpus (34)

• Entanglement Entropy and Quantum Field Theory
• Area laws for the entanglement entropy - a review
• Entanglement in quantum critical phenomena
• Geometric and Renormalized Entropy in Conformal Field Theory
• Entanglement entropy and conformal field theory
• Calculation of reduced density matrices from correlation functions
• The `Friction' of Vacuum, and other Fluctuation-Induced Forces
• Stimulating uncertainty: Amplifying the quantum vacuum with superconducting circuits
• Quantum Spin Chain, Toeplitz Determinants and Fisher-Hartwig Conjecture
• Opposites Attract - A Theorem About The Casimir Force
• Dirac Equation For Cold Atoms In Artificial Curved Spacetimes
• Violation of area-law scaling for the entanglement entropy in spin 1/2 chains
• Entanglement hamiltonian and entanglement contour in inhomogeneous 1D critical systems
• Experiment and theory in the Casimir effect
• Attractive and Repulsive Casimir Vacuum Energy with General Boundary Conditions
• Synthetic Unruh effect in cold atoms
• Entanglement spectrum of random-singlet quantum critical points
• Entanglement over the rainbow
• From conformal to volume-law for the entanglement entropy in exponentially deformed critical spin 1/2 chains
• The Casimir Effect for Fermions in One Dimension
• More on the rainbow chain: entanglement, space-time geometry and thermal states
• Holographic Duals of Inhomogeneous Systems: The Rainbow Chain and the Sine-Square Deformation Model
• Unusual area-law violation in random inhomogeneous systems
• Conformal Field Theory of Critical Casimir Interactions in 2D
• Lifshitz theory of the cosmological constant
• Entanglement in low-energy states of the random-hopping model
• Vacuum energy and the spacetime index of refraction: A new synthesis
• Casimir Effect for Massless Fermions in One Dimension: A Force Operator Approach
• The case for a Casimir cosmology
• Entanglement in correlated random spin chains, RNA folding and kinetic roughening
• Casimir effect in a weak gravitational field and the spacetime index of refraction
• Electromagnetic Casimir effect and the spacetime index of refraction
• Piercing the rainbow: entanglement on an inhomogeneous spin chain with a defect
• Thermality from a Rindler quench

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• Depletion in fermionic chains with inhomogeneous hoppings
• Gauge fields induced by curved spacetime
• Long term behavior of the stirred vacuum on a Dirac chain: geometry blur and the random Slater ensemble
• Quantum dynamics in 1D lattice models with synthetic horizons