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The Effect of Electric Field on RbCl Asymmetric Gaussian Potential Quantum Well Qubit

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Abstract

We calculate the time evolution and the coordinate change of the quantum mechanical electronic state by using variational method of Pekar type (VMPT) in the presence of strong electron-LO-phonon coupling. The electron is confined in an asymmetric Gaussian potential quantum well (AGPQW) subjected to an applied electric field. The eigenenergies and the eigenfunctions of the ground and the first excited states (GFES) are calculated. A single qubit can be realized in this two-level quantum system. The electron’s probability density oscillates in the AGPQW with a certain period of T 0 = 22.511 fs when the electron is in the superposition state of the GFES. We show that due to the presence of the asymmetrical Gaussian potential in the growth direction of the QW, the electron’s probability density shows one peak in the range of the coordinate z > 0, whereas it equals to zero in the range of z < 0. There is only one peak if the confinement is a two-dimensional symmetric structure in the xy plane of the QW. The oscillating period is an increasing function of the electric field, whereas it is a decreasing one of the height of the AGPQWs and the polaron radius. The oscillating period is a decreasing function of the range of the asymmetric Gaussian confinement potential for R < 0.24 nm, whereas it is an increasing one for R > 0.24 nm. It has a minimum when R = 0.24 nm.

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Acknowledgments

This project was supported by the National Science Foundation of China under Grant No.11464033 and 11464034.

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  1. Institute of Condensed Matter Physics, Inner Mongolia University for the Nationalities, Tongliao, 028043, China

    Jing-Lin Xiao

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  1. Jing-Lin Xiao
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Correspondence to Jing-Lin Xiao.

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Xiao, JL. The Effect of Electric Field on RbCl Asymmetric Gaussian Potential Quantum Well Qubit. Int J Theor Phys 55, 147–154 (2016). https://doi.org/10.1007/s10773-015-2644-9

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  • DOI: https://doi.org/10.1007/s10773-015-2644-9

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