Quantum particle displacement by a moving localized potential trap

Abstract

We describe the dynamics of a bound state of an attractive $\delta$-well under displacement of the potential. Exact analytical results are presented for the suddenly moved potential. Since this is a quantum system, only a fraction of the initially confined wavefunction remains confined to the moving potential. However, it is shown that besides the probability to remain confined to the moving barrier and the probability to remain in the initial position, there is also a certain probability for the particle to move at double speed. A quasi-classical interpretation for this effect is suggested. The temporal and spectral dynamics of each one of the scenarios is investigated.

5 pages, 6 figures

References in corpus (4)

• Time modulation of atom sources
• Quantum matter wave dynamics with moving mirrors
• A quantum decay model with exact explicit analytical solution
• Tunneling out of a time-dependent well

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• Unidirectional spin transport of a spin-orbit-coupled atomic matter wave using a moving Dirac $\delta$-potential well
• Trapping of quantum particles and light beams by switchable potential wells