Ramsey interferometry with generalized one-axis twisting echoes

Understand

We consider a large class of Ramsey interferometry protocols which are enhanced by squeezing and un-squeezing operations before and after a phase signal is imprinted on the collective spin of $N$ particles.

• We report an analytical optimization for any given particle number and strengths of (un-)squeezing.
• These results can be applied even when experimentally relevant decoherence processes during the squeezing and un-squeezing interactions are included.
• Noise between the two interactions is however not considered in this work.