Proposal for spin squeezing in rare-earth-ion-doped crystals with a four-color scheme

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Abstract
Achieving spin squeezing within solid-state devices is a long-standing research goal due to the promise of their particularities, for instance, their long coherence times, the possibility of low-temperature experiments, or the integration of entanglement-assisted sensors on-chip. In this work, we investigate an interferometer-free four-color scheme to achieve spin squeezing of rare-earth-ion-doped crystals. The proposal relies on an analytic derivation that starts from a Tavis-Cummings model for light-matter interaction, providing microscopic insights onto spin-squeezing generation. We evince the spin-squeezing signature in the light intensity variance. We consider the two particular cases of europium- and praseodymium-doped yttrium orthosilicates, workhorses of quantum technology developments. We show that up to 8 dB of spin squeezing can be obtained with readily accessible experimental resources, including noise due to photon scattering. Our results for rare-earth-ion-doped crystals add to the promising properties of these platforms for manipulating many-body entangled states and for high-precision measurements.
Funding Information
  • Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
  • National Center of Competence in Research Quantum Science and Technology (2000021_192244/1, 172590)
  • Agence Nationale de la Recherche (ANR-21-CE47-0001-01)
  • Doc.Mobility (P1GEP2_199676, 197168, PR00P2_179748)

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