Spin squeezing in a generalized one-axis twisting model
Spin squeezing in a generalized one-axis twisting model
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DOI：
10.1088/1367-2630/11/7/073049
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发表时间：
2009-04
影响因子：
3.3
通讯作者：
G. Jin;Yong‐Chun Liu;Wuming Liu
中科院分区：
文献类型：
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作者：
G. Jin;Yong‐Chun Liu;Wuming Liu
在一个推广的单轴扭转模型中，我们研究了初始相干自旋态|θ0，ϕ0⟩的极角对自旋压缩的依赖关系，其中考虑了失谐的δ。结果表明，无论δ和ϕ0如何，只要θ0=π/2，理想单轴扭转的前人结果都是可以恢复的。然而，对于θ0偏离π/2很小的情况，可实现的方差(V−)min∼n2/3大于理想情况下的n1/3。我们还发现最大压缩时间Tmin的尺度是N−5/6。
We investigate the dependence of spin squeezing on the polar angle of the initial coherent spin state |θ0, ϕ0⟩ in a generalized one-axis twisting model, where the detuning δ is taken into account. We show explicitly that regardless of δ and ϕ0, previous results of the ideal one-axis twisting are recovered as long as θ0=π/2. For a small departure of θ0 from π/2, however, the achievable variance (V −)min ∼N2/3, which is larger than the ideal case N1/3. We also find that the maximal squeezing time tmin scales as N−5/6. Analytic expressions of (V−)min and tmin are presented and they agree with numerical simulations.