Entanglement-enhanced test proposal for local Lorentz-symmetry violation via spinor atoms

Invariance under Lorentz transformations is fundamental to both the standard model and general relativity. Testing Lorentz-symmetry violation (LSV) via atomic systems attracts extensive interests in theory experiment. Some recent proposals for testing LSV present that effects of can be described as a local interaction. Further, test precision enhanced quantum entanglement its Fisher information (QFI) implicates asymptotically reach Heisenberg limit. In general, limited resolution collective observables prevents detection large QFI. Here, we propose multimode many-body interferometry parameter $\kappa$ an ensemble spinor atoms. By employing $N$-atom GHZ state, attain limit $\Delta \kappa \propto 1/(F^2N)$ with spin length $F$ number $N$. We find actual observable (or practical measurement process) achieve ultimate study experimentally accessible three-mode Bose condensed spin-1 atoms example. selecting suitable input states unitary recombination operation, extracted population measurement. Especially, beat even approach mixing dynamics or driving through phase transitions. Our proposed scheme may open up feasible way drastic improvement tests provide alternative application multi-particle entangled states.