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Spin squeezed states are a class of entangled states of spins that havepractical applications to precision measurements. In recent years spinsqueezing with one-axis twisting (OAT) has been demonstrated experimentallywith spinor BECs with more than 10^3 atoms. Although the noise is below thestandard quantum limit, the OAT scheme cannot reduce the noise down to theultimate Heisenberg limit. Here we propose an experimentally feasible schemebased on optimized quantum control to greatly enhance the performance of OAT toapproach the Heisenberg limit, requiring only an OAT Hamiltonian and the use ofseveral coherent driving pulses. The scheme is robust against technical noiseand can be readily implemented for spinor BECs or trapped ions with currenttechnology.

Efficient Spin Squeezing with Optimized Pulse Sequences