Coherent states with elliptical polarization

Details Coherent states with elliptical polarization Coherent states with elliptical polarization

2004-07-08

arxiv.org/abs/quant-ph/0407068v2

Physics

Quantum Physics

10 pages, 1 figures

Scientific paper

10.1016/j.physleta.2005.01.061

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.

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