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arXiv · 1406.3887

Dynamical Spin Squeezing via Higher Order Trotter-Suzuki Approximation

Ji-Ying Zhang·Xiang-Fa Zhou·Guang-Can Guo·Zheng-Wei Zhou
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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.

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Ji-Ying Zhang, Xiang-Fa Zhou, Guang-Can Guo, Zheng-Wei Zhou. 2014-07-16. Dynamical Spin Squeezing via Higher Order Trotter-Suzuki Approximation. https://doi.org/10.1103/physreva.90.013604

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