Probing low-energy Lorentz violation from high-energy modified dispersion in dipolar Bose-Einstein condensates

TL;DR

This paper proposes using impurity atoms in dipolar Bose-Einstein condensates to experimentally detect low-energy Lorentz violations caused by high-energy modified dispersion relations, offering a quantum simulation platform.

Contribution

It introduces a novel scheme to probe Lorentz violation at low energies via impurity interactions in dipolar BECs, bridging high-energy quantum gravity effects with low-energy quantum fluids.

Findings

Density fluctuations exhibit Lorentz-violating Bogoliubov spectrum.

Impurity experiences low-energy Lorentz violation analogous to quantum field responses.

Platform enables experimental testing of high-energy Lorentz violation signatures.

Abstract

We theoretically propose an experimentally viable scheme to use an impurity atom in a dipolar Bose-Einstein condensate (BEC), in order to probe analogue low-energy Lorentz violation from the modified dispersion at high energies as suggested by quantum theories of gravity. We show that the density fluctuations in the dipolar BEC possess a Lorentz-violating Bogoliubov spectrum $\omega_\mathbf{k}=c_0|\mathbf{k}|f(c_0|\mathbf{k}|/M_\star)$, with recovery of approximate Lorentz invariance (LI) at energy scales much below $M_\star$. When $f$ is adjusted to dip below unity somewhere, the impurity, analogously dipole coupled to the density fluctuations, experiences analogue drastic Lorentz violation at arbitrarily low energies, reproducing the same responds of Unruh-DeWitt detector to Lorentz-violating quantum fields. Being a fundamentally quantum mechanical device, our quantum fluid platform provides an experimentally realizable test field to verify whether the effective low energy theory can reveal unexpected imprints of the theory's high energy structure, in quantum field theory.