标题： 希尔利类型压缩在扇态中 显示英文标题

标题： Hillery-type squeezing in fan-states

摘要： 我们研究Hillery型，即$N$次幂，在由$| \xi ;2k,f>_{F}$表征的扇态中的幅度压缩，其由$\xi \in \mathcal{C}$、$k=1,2,3,...$和$f$一个非线性算子值函数。 我们证明，对于给定的$k$存在一个临界$\xi_c$使得对于$0<|\xi|\leq|\xi_c|$在方向$2k$上同时发生压缩，这些功率$N$是$2k$的倍数。 此结果不依赖于$f$的具体形式，即 对于$f\equiv 1$和$f\neq 1$都是正确的。 然而，对于$f\neq 1$，在这里的离子阱背景下实现，压缩方向以及$\xi$的大小可以通过调整系统驱动参数来控制。 显示英文摘要

摘要： We study the Hillery-type, i.e. $N$-th power, amplitude squeezing in the fan-state $| \xi ;2k,f>_{F}$ characterized by $\xi \in \mathcal{C}$, $k=1,2,3,...$ and $f$ a nonlinear operator-valued function. We show that for a given $k$ there exists a critical $\xi_c$ such that for $0<|\xi|\leq|\xi_c|$ squeezing occurs simultaneously in $2k$ directions for the powers $N$ which are a multiple of $2k$. This result does not depend on the concrete form of $f$, i.e. it holds true for both $f\equiv 1$ and $f\neq 1$. However, for $f\neq 1$, which is realized here in the ion trap context, the squeezing directions as well as the magnitude of $\xi$ can be controlled by adjusting the system driving parameters.