Probing Lorentz-Invariance-Violation Induced Nonthermal Unruh Effect in Quasi-Two-Dimensional Dipolar Condensates

Abstract

The Unruh effect states an accelerated particle detector registers a thermal response when moving through the Minkowski vacuum, and its thermal feature is believed to be inseparable from Lorentz symmetry: Without the latter, the former disappears. Here we propose to observe analogue circular Unruh effect using an impurity atom in a quasi-two-dimensional Bose-Einstein condensate (BEC) with dominant dipole-dipole interactions between atoms or molecules in the ultracold gas. Quantum fluctuations in the condensate possess a Bogoliubov spectrum ${\omega }_{\mathbf{k}}=c_0|\mathbf{k}|f(\hslash c_0|\mathbf{k}|/M_{\ast })$, working as an analogue Lorentz-violating quantum field with the Lorentz-breaking scale $M_{\ast }$, and the impurity acts as an effective Unruh-DeWitt detector thereof. When the detector travels close to the sound speed, observation of the Unruh effect in our quantum fluid platform becomes experimentally feasible. In particular, the deviation of the Bogoliubov spectrum from the Lorentz-invariant case is highly engineerable through the relative strength of the dipolar and contact interactions, and thus a viable laboratory tool is furnished to experimentally investigate whether the thermal characteristic of Unruh effect is robust to the breaking of Lorentz symmetry.

8+4 pages, 3 figures

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• Quantum entanglement for continuous variables sharing in an expanding spacetime
• Expansion-contraction duality breaking in a Planck-scale sensitive cosmological quantum simulator
• Using nanokelvin quantum thermometry to detect timelike Unruh effect in a Bose-Einstein condensate
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• Harvesting entanglement from the Lorentz-violating quantum field vacuum in a dipolar Bose-Einstein condensate
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