切割Fock空间用于国家生产和保护
Slicing the Fock space for state production and protection
摘要：
在这封信中，我们提出了一个协议，工程师的相互作用局限于Fock空间的子空间中被困离子：我们展示了如何工程师的上限，下限和切片Jaynes-Cummings（JC）和反Jaynes-Cummings（AJC）哈密尔顿。作用在Fock子空间上的上界（下界）相互作用范围为从$\left\vert 0\right\rangle $到$\left\vert M\right\rangle $（$\left\vert N\right\rangle $到$\ \infty$），以及限制在Fock子空间上的切片相互作用范围为从$\left\vert M\right\rangle $到$\left\vert N\right\rangle $，无论$M<N$。而上限JC或AJC相互作用示出驱动任何初始状态的稳定Fock状态$\left\vert N\right\rangle $，切片的一个示出产生稳定的叠加Fock状态限制在切片子空间$\left\{ \left\vert N\right\rangle \text{,}\left\vert N+1\right\rangle \right\} $。
英文摘要：
In this letter we present a protocol to engineer interactions confined to subspaces of the Fock space in trapped ions: we show how to engineer upper-, lower-bounded and sliced Jaynes-Cummings (JC) and anti-Jaynes-Cummings (AJC) Hamiltonians. The upper-bounded (lower-bounded) interaction acting upon Fock subspaces ranging from $\left\vert 0\right\rangle $ to $\left\vert M\right\rangle $ ($\left\vert N\right\rangle $ to$\ \infty$), and the sliced one confined to Fock subspace ranging from $\left\vert M\right\rangle $ to $\left\vert N\right\rangle $, whatever $M<N$. Whereas the upper-bounded JC or AJC interactions is shown to drive any initial state to a steady Fock state $\left\vert N\right\rangle $, the sliced one is shown to produce steady superpositions of Fock states confined to the sliced subspace $\left\{ \left\vert N\right\rangle \text{,}\left\vert N+1\right\rangle \right\} $.
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