Soliton propagations in the electromagnetically induced transparency
Soliton propagations in the electromagnetically induced transparency
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DOI：
10.1140/epjst/e2009-01075-9
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发表时间：
2009-07
期刊：
影响因子：
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通讯作者：
M. Wadati
中科院分区：
文献类型：
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作者：
M. Wadati
研究了一维脉冲在电磁感应介质中的传播。本文用缓变振幅近似、可忽略不可逆弛豫近似和精确共振近似简化了三能级介质的Maxwell-Bloch方程。分析的情况下，可积条件得到满足，两个允许的过渡的振荡强度是相等的。通过Bäcklund变换，单孤子和双孤子的解决方案，包括所谓的simulton。研究发现，孤子碰撞表现出多种动力学行为，如弹性碰撞，能量交换，压缩和开关现象取决于系统的初始条件。这些过程在多分量孤子系统中是相当普遍的，在量子信息处理等各种应用中应该是有用的。
One-dimensional pulse propagations in the electromagnetically induced media are investigated. The Maxwell-Bloch equations for a three-level medium are simplified with the approximations of slowly varying amplitudes, negligible irreversible relaxations and exact resonances. An analysis is made for the case where the integrable condition is satisfied; the oscillation strengths for the two allowed transitions are equal. Through the Bäcklund transformation, one-soliton and two-soliton solutions including the so-called simulton are derived. It is found that collisions of solitons exhibit a variety of dynamical behaviors such as elastic collisions, energy exchanges, compressions and switching phenomena depending on the initial conditions for the system. Those processes are rather common to the multi-component soliton systems and should be useful in various applications such as quantum information processings.