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Propagation, breathing and transition of matter-wave packet trains

Wenhua Hai·Chaohong Lee·Guishu Chong
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Abstract

We find a set of new exact solutions of a quantum harmonic oscillator, which describes some wave-packet trains with average energy being proportional to both the quantum level and classical energy of the oscillator. Center of the wave-packet trains may oscillate like a classical harmonic oscillator of frequency $ω$. Width and highness of the trains may change simultaneously with frequency $2 ω$ as an array of breathers. Under some perturbations the wave-packet trains could transit between the states of different quantum numbers. We demonstrate analytically and numerically that the wave-packet trains can be strictly fitted to the matter-wave soliton trains observed by Strecher et al. and reported in Nature 417, 150(2002). When the wave-packets breathe with greater amplitudes, they show periodic collapse and revival of the matter-wave.

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Wenhua Hai, Chaohong Lee, Guishu Chong. 2003-01-23. Propagation, breathing and transition of matter-wave packet trains. https://doi.org/10.1103/physreva.70.053621

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