@article{13624,
  keywords = {Quantum Physics},
  author = {Raphael Kaubruegger and Diego Padilla and Athreya Shankar and Christoph Hotter and Sean Muleady and Jacob Bringewatt and Youcef Baamara and Erfan Abbasgholinejad and Alexey Gorshkov and Klaus M√∏lmer and James Thompson and Ana Rey},
  title = {Lieb-Mattis states for robust entangled differential phase sensing},
  abstract = {Developing sensors with large particle numbers \$N\$ that can resolve subtle physical effects is a central goal in precision measurement science. Entangled quantum sensors can surpass the standard quantum limit (SQL), where the signal variance scales as \$1/N\$, and approach the Heisenberg limit (HL) with variance scaling as \$1/N\textasciicircum2\$. However, entangled states are typically more sensitive to noise, especially common-mode noise such as magnetic field fluctuations, control phase noise, or vibrations in atomic interferometers. We propose a two-node entanglement-enhanced quantum sensor network for differential signal estimation that intrinsically rejects common-mode noise while remaining robust against local, uncorrelated noise. This architecture enables sensitivities approaching the Heisenberg limit. We investigate two state preparation strategies: (i) unitary entanglement generation analogous to bosonic two-mode squeezing, yielding Heisenberg scaling; and (ii) dissipative preparation via collective emission into a shared cavity mode, offering a \$\sqrt\N\\$ improvement over the SQL. Numerical simulations confirm that both protocols remain effective under realistic conditions, supporting scalable quantum-enhanced sensing in the presence of dominant common-mode noise.},
  year = {2025},
  month = {jun},
  publisher = {arXiv},
  url = {http://arxiv.org/abs/2506.10151},
  doi = {10.48550/arXiv.2506.10151},
  note = {arXiv:2506.10151 [quant-ph]},
}