Generating spin squeezing states and Greenberger-Horne-Zeilinger entanglement using a hybrid phonon-spin ensemble in diamond

Abstract

Quantum squeezing and entanglement of spins can be used to improve the sensitivity in quantum metrology. Here we propose a scheme to create collective coupling of an ensemble of spins to mechanical vibrational mode actuated by an external magnetic field. We find an evolution time where the mechanical motion decouples from the spins, and the accumulated geometric phase yields a squeezing of $5.9\text{dB}$ for $20$ spins. We also show the creation of a Greenberger-Horne-Zeilinger spin state for $20$ spins with a fidelity of $\sim 0.62$ at cryogenic temperature. The numerical simulations show that the geometric-phase based scheme is mostly immune to thermal mechanical noise.

8 pages, 7 figures

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• Spin-stress and spin-strain coupling in diamond-based hybrid spin oscillator systems
• Heisenberg-limited spin-squeezing via bosonic parametric driving
• Preparing multiparticle entangled states of NV centers via adiabatic ground-state transitions
• Phononic waveguide assisted steady state entanglement of SiV centers
• Simulating the Lipkin-Meshkov-Glick model in a hybrid quantum system
• Magnetometry via spin-mechanical coupling in levitated optomechanics
• Distillation of maximally correlated bosonic matter from many-body quantum coherence
• Robustness of the projected squeezed state protocol
• Coherent Generation and Protection of Anticoherent Spin States
• Squeezing giant spin states via geometric phase control in cavity-assisted Raman transitions
• Interfacing a topological qubit with a spin qubit in a hybrid quantum system