Spin squeezing in a generalized one-axis twisting model

Details Spin squeezing in a generalized one-axis twisting model Spin squeezing in a generalized one-axis twisting model

2009-04-03

arxiv.org/abs/0904.0496v2

New Journal of Physics 11 (2009) 073049

Physics

Quantum Physics

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

Scientific paper

10.1088/1367-2630/11/7/073049

We investigate the dependence of spin squeezing on the polar angle of the initial coherent spin state $|\theta_0, \phi_0>$ in a generalized one-axis twisting model, where the detuning $\delta$ is taken into account. We show explicitly that regardless of $\delta$ and $\phi_0$, 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.

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