Shannon information entropies for rectangular multiple quantum well systems with constant total lengths

doi:10.1088/1674-1056/27/4/040301

中国物理B ›› 2018, Vol. 27 ›› Issue (4): 40301-040301.doi: 10.1088/1674-1056/27/4/040301

• TOPIC REVIEW—Thermal and thermoelectric properties of nano materials • 上一篇下一篇

Shannon information entropies for rectangular multiple quantum well systems with constant total lengths

M Solaimani, Guo-Hua Sun(孙国华), Shi-Hai Dong(董世海)

1. Department of Physics, Faculty of Science, Qom University of Technology, Qom, Iran;
2. Catedrática CONACyT, CIC, Instituto Politécnico Nacional, Unidad Profesional ALM, CDMX, C. P. 07700, Mexico;
3. Laboratorio de Información Cuántica, CIDETEC, Instituto Politécnico Nacional, Unidad Profesional ALM, CDMX, C. P. 07700, Mexico

收稿日期:2017-10-26 修回日期:2017-12-22 出版日期:2018-04-05 发布日期:2018-04-05
通讯作者: M Solaimani, Shi-Hai Dong E-mail:solaimani.mehdi@gmail.com,solaimani@qut.ac.ir;dongsh2@yahoo.com
基金资助:
Project supported by the Iranian Nanotechnology Initiative Council (INIC), the 20180677-SIP-IPN, Mexico, and the CONACYT 288856-CB-2016, Mexico.

Shannon information entropies for rectangular multiple quantum well systems with constant total lengths

M Solaimani¹, Guo-Hua Sun(孙国华)², Shi-Hai Dong(董世海)³

1. Department of Physics, Faculty of Science, Qom University of Technology, Qom, Iran;
2. Catedrática CONACyT, CIC, Instituto Politécnico Nacional, Unidad Profesional ALM, CDMX, C. P. 07700, Mexico;
3. Laboratorio de Información Cuántica, CIDETEC, Instituto Politécnico Nacional, Unidad Profesional ALM, CDMX, C. P. 07700, Mexico

Received:2017-10-26 Revised:2017-12-22 Online:2018-04-05 Published:2018-04-05
Contact: M Solaimani, Shi-Hai Dong E-mail:solaimani.mehdi@gmail.com,solaimani@qut.ac.ir;dongsh2@yahoo.com
Supported by:
Project supported by the Iranian Nanotechnology Initiative Council (INIC), the 20180677-SIP-IPN, Mexico, and the CONACYT 288856-CB-2016, Mexico.

摘要/Abstract

摘要：

We first study the Shannon information entropies of constant total length multiple quantum well systems and then explore the effects of the number of wells and confining potential depth on position and momentum information entropy density as well as the corresponding Shannon entropy. We find that for small full width at half maximum (FWHM) of the position entropy density, the FWHM of the momentum entropy density is large and vice versa. By increasing the confined potential depth, the FWHM of the position entropy density decreases while the FWHM of the momentum entropy density increases. By increasing the potential depth, the frequency of the position entropy density oscillation within the quantum barrier decreases while that of the position entropy density oscillation within the quantum well increases. By increasing the number of wells, the frequency of the position entropy density oscillation decreases inside the barriers while it increases inside the quantum well. As an example, we might localize the ground state as well as the position entropy densities of the 1st, 2nd, and 6th excited states for a four-well quantum system. Also, we verify the Bialynicki-Birula-Mycieslki (BBM) inequality.

关键词: position and momentum Shannon entropies, multiple quantum well, entropy densities

Abstract:

Key words: position and momentum Shannon entropies, multiple quantum well, entropy densities

中图分类号: (Quantum mechanics)

03.65.-w

03.65.Ge (Solutions of wave equations: bound states) 03.67.-a (Quantum information)

M Solaimani, 孙国华, 董世海. Shannon information entropies for rectangular multiple quantum well systems with constant total lengths[J]. 中国物理B, 2018, 27(4): 40301-040301.

M Solaimani, Guo-Hua Sun(孙国华), Shi-Hai Dong(董世海). Shannon information entropies for rectangular multiple quantum well systems with constant total lengths[J]. Chin. Phys. B, 2018, 27(4): 40301-040301.

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Shannon information entropies for rectangular multiple quantum well systems with constant total lengths

Shannon information entropies for rectangular multiple quantum well systems with constant total lengths

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