Two photons co- and counterpropagating through N cross-Kerr sites

被引:26
|
作者
Brod, Daniel J. [1 ]
Combes, Joshua [1 ,2 ,3 ]
Gea-Banacloche, Julio [4 ]
机构
[1] Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada
[2] Univ Waterloo, Inst Quantum Comp, Waterloo, ON N2L 3G1, Canada
[3] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada
[4] Univ Arkansas, Dept Phys, Fayetteville, AR 72701 USA
关键词
ENTANGLEMENT PURIFICATION; BOUND-STATES; QUANTUM; OUTPUT;
D O I
10.1103/PhysRevA.94.023833
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A cross-Kerr interaction produces a phase shift on two modes of light proportional to the number of photons in both modes and is sometimes called cross-phase modulation. Cross-Kerr nonlinearities have many applications in classical and quantum nonlinear optics, including the possibility of a deterministic and all-optical controlled-phase gate. We calculate the one- and two-photon S matrices for fields propagating in a medium where the cross-Kerr interaction is spatially distributed at discrete interaction sites comprised of atoms. For the interactions considered, we analyze the cases where the photons copropagate and counterpropagate through the medium and give a physical interpretation to the differences between the two cases. Finally, we obtain the S matrix in the limit of infinitely long chains, showing that it corresponds to a perfect controlled-phase operation.
引用
收藏
页数:21
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