Analogue quantum gravity in hyperbolic metamaterials

Abstract

It is well known that extraordinary photons in hyperbolic metamaterials may be described as living in an effective Minkowski spacetime, which is defined by the peculiar form of the strongly anisotropic dielectric tensor in these metamaterials. Here we demonstrate that within the scope of this approximation the sound waves in hyperbolic metamaterials look similar to gravitational waves, and therefore the quantized sound waves (phonons) look similar to gravitons. Such an analogue model of quantum gravity looks especially interesting near the phase transitions in hyperbolic metamaterials where it becomes possible to switch quantum gravity effects on and off as a function of metamaterial temperature. We also predict strong enhancement of sonoluminescence in ferrofluid based hyperbolic metamaterials, which looks analogous to particle creation in strong gravitational fields.

8 pages, 3 figures. This paper is accepted for publication in the special issue of Universe on Quantum Gravity Phenomenology

References in corpus (8)

• Optical Hyperlens: Far-field imaging beyond the diffraction limit
• Magnifying superlens in the visible frequency range
• Spontaneous electromagnetic superconductivity of vacuum in strong magnetic field: evidence from the Nambu--Jona-Lasinio model
• Gauge Theories with Cayley-Klein $SO(2;j)$ and $SO(3;j)$ Gauge Groups
• Inflationary Perturbations: the Cosmological Schwinger Effect
• A Brief History of Gravitational Waves
• Hyperbolic Metamaterials with Bragg Polaritons
• Hybrid acousto-electromagnetic metamaterial superconductors