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Squeezing of Longitudinal Spin Component in Spin Coherent State
National Academy Science Letters ( IF 1.2 ) Pub Date : 2021-01-18 , DOI: 10.1007/s40009-020-01025-8
Rakesh Kumar , Pankaj Kumar , Hari Prakash

In the present paper, we have shown that any component \( S_{{{\hat{\mathbf{n}}}}} = {\mathbf{S}} \cdot {\hat{\mathbf{n}}} \) of atomic spin operator \( {\mathbf{S}} \) along unit vector \( {\hat{\mathbf{n}}} \) except transverse spin component is squeezed for spin coherent state \( \left| {S,S ,{\hat{\mathbf{n}}}_{ 0} } \right\rangle \) for given unit vector \( {\hat{\mathbf{n}}}_{0} \), defined by \( ({\mathbf{S}} \cdot {\mathbf{S}} )\left| {S,S,{\hat{\mathbf{n}}}_{\text{0}} } \right\rangle = S(S + 1 )\left| {S,S,{\hat{\mathbf{n}}}_{\text{0}} } \right\rangle \) and \( S_{{{\hat{\mathbf{n}}}_{\text{0}} }} \left| {S,S,{\hat{\mathbf{n}}}_{\text{0}} } \right\rangle = S\left| {S ,S ,{\hat{\mathbf{n}}}_{\text{0}} } \right\rangle \), for \( {\hat{\mathbf{n}}} \, \cdot \, {\hat{\mathbf{n}}}_{\text{0}} \, \ne \, 0 \), as per the Prakash and Kumar criterion (J Opt B Quantum Semiclass Opt 7:S757, 2005) obtained by generalization of Walls and Zoller (Phys Rev Lett 47:709, 1981) definition of atomic squeezing. We have obtained perfect squeezing for longitudinal spin component in spin coherent state.



中文翻译:

自旋相干态的纵向自旋分量的压缩

在本文中,我们证明了任何成分\(S _ {{{\ hat {\ mathbf {n}}}}} = {\ mathbf {S}} \ cdot {\ hat {\ mathbf {n}}}沿着单位向量\({\ hat {\ mathbf {n}}} \)的原子自旋算符\({\ mathbf {S}} \)的\)除外,将横向自旋分量压缩为自旋相干态\(\ left |给定单位向量的{S,S,{\ hat {\ hatbf {n}}} _ {0}} \ right \ rangle \)\({\ hat {\ mathbf {n}}} _ {0} \),由\(({{mathbf {S}} \ cdot {\ mathbf {S}}})\ left | {S,S,{\ hat {\ mathbf {n}}} __ {\ text {0}}定义} \ right \ rangle = S(S + 1)\ left | {S,S,{\ hat {\ mathbf {n}}} _ {\ text {0}}} \ right \ rangle \)\(S _ {{{\ hat {\ mathbf {n}}} _ {\ text {0}}}} \ left | {S,S,{\ hat {\ mathbf {n}}} __ \ text { 0}}}} \ right \ rangle = S \ left | {S,S,{\ hat {\ mathbf {n}}} _ {\ text {0}}} \ right \ rangle \)\({根据Prakash和Kumar,帽子{\ mathbf {n}}} \,\ cdot \,{\ hat {\ mathbf {n}}} _ {\ text {0}} \,\ ne \,0 \)通过对Walls and Zoller(Phys Rev Lett 47:709,1981)的定义的一般化获得的标准(J Opt B Quantum Semiclass Opt 7:S757,2005)。我们已经获得了自旋相干状态下纵向自旋分量的完美压缩。

更新日期:2021-01-18
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