Dynamical Spin Squeezing via Higher Order Trotter-Suzuki Approximation

Abstract

Here we provide a scheme of transforming the one-axis twisting Hamiltonian into the two-axis twisting one based on high order Trotter-Suzuki Approximation. Compared with the paper [Y. C. Liu et al., Phys. Rev. Lett. 107, 013601 (2011)], our method can reduce the number of controlling cycles from $1000$ to $50$. Moreover, it is also spin number independent and takes shorter optimal evolution time contrast with the method in the work [C. Shen et al., Phys. Rev. A 87, 051801 (2013)]. The corresponding error analysis is also provided.

6 pages, 7 figures

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• Two-axis spin squeezing of two-component BEC via a continuous driving
• Counterdiabatic driving in spin squeezing and Dicke state preparation
• Optimal Conventional Measurements for Quantum-Enhanced Interferometry
• Heisenberg-limited spin squeezing in coupled spin systems
• Persistent atomic spin squeezing at the Heisenberg limit
• Nuclear spin squeezing via electric quadrupole interaction
• Suppressing nonadiabatic transitions during adiabatic generation of highly entangled states in bosonic Josephson junctions
• Rebuilding of destroyed spin squeezing in noisy environments
• Quantum Metrology via Floquet-Engineered Two-axis Twisting and Turn Dynamics
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