Spin squeezing in a generalized one-axis twisting model

Abstract

We investigate the dependence of spin squeezing on the polar angle of the initial coherent spin state $|{\theta }_0,{\varphi }_0>$ in a generalized one-axis twisting model, where the detuning $\delta$ is taken into account. We show explicitly that regardless of $\delta$ and ${\varphi }_0$, previous results of the ideal one-axis twisting is recovered as long as ${\theta }_0=\pi /2$. For a small departure of ${\theta }_0$ from $\pi /2$, however, the achievable variance $(V_{-}{)}_{\min }\sim N^{2/3}$, larger than the ideal case $N^{1/3}$. We also find that the maximal-squeezing time $t_{\min }$ scales as $N^{-5/6}$. Analytic expressions of $(V_{-}{)}_{\min }$ and $t_{\min }$ are presented, which agree with numerical simulations.

14pages, 5 figures, new references are added, to be appeared in New J. Phys

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