arXivDaily arXiv每日学术速递 周一至周五更新
arXiv quant-ph/0407068quant-ph
收藏

椭圆偏振相干态

Coherent states with elliptical polarization

E. Colavita, S. Hacyan

摘要:

二维谐振子的相干态被构造为能量和角动量本征态的叠加。结果表明,这些状态是高斯波包沿经典轨迹移动,具有定义良好的椭圆偏振。相对于通常的动量算符和位置算符,它们是相干关联态。一组创建和湮灭运营商定义在极坐标系中,它表明,这些相同的状态是精确的相干态相对于这样的运营商。

英文摘要:

Coherent states of the two dimensional harmonic oscillator are constructed as superpositions of energy and angular momentum eigenstates. It is shown that these states are Gaussian wave-packets moving along a classical trajectory, with a well defined elliptical polarization. They are coherent correlated states with respect to the usual cartesian position and momentum operators. A set of creation and annihilation operators is defined in polar coordinates, and it is shown that these same states are precisely coherent states with respect to such operators.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑