Dynamical Spin Squeezing via Higher Order Trotter-Suzuki Approximation

TL;DR

This paper introduces a high-order Trotter-Suzuki approximation scheme to efficiently transform the one-axis twisting Hamiltonian into the two-axis twisting form, significantly reducing control cycles and optimal evolution time.

Contribution

The authors develop a high-order Trotter-Suzuki method that outperforms previous schemes in efficiency and scalability for spin squeezing transformations.

Findings

Reduces control cycles from 1000 to 50

Spin number independence of the method

Shorter optimal evolution time compared to previous methods

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.