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

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.

9 pages, 6 figures, accepted for publication in PRD

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• Simulation of the massless Dirac field in 1+1D curved spacetime
• Direct Characteristic-Function Tomography of the Quantum States of Quantum Fields
• Relativistic Bose-Einstein condensate in the rainbow gravity
• Analogue gravitational field from nonlinear fluid dynamics
• Using nanokelvin quantum thermometry to detect timelike Unruh effect in a Bose-Einstein condensate
• Harvesting entanglement from the Lorentz-violating quantum field vacuum in a dipolar Bose-Einstein condensate