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Compared study of Shannon, Tsallis and Gaussian entropy of bound magnetopolaron in nanostructures | | M. Tiotsop
; A. J. Fotue
; H. B. Fotsin
; L. C. Fai
; | | Date: |
27 Mar 2017 | | Abstract: | Many methods have been experimented to study decoherence in nanostructures.
Tsallis, Shannon and Gaussian entropy have been used to study decoherence
separately; in this paper, we compared the results of the sus-mentioned
entropies in nanostructures. The linear combination operator and the unitary
transformation was used to derive the magnetopolaron spectrum that strongly
interact with the LO phonons in the presence of electric field in the pseudo
harmonic and delta quantum dot. Numerical results revealed for the quantum
pseudo dot that: (i) The amplitude of Gauss entropy is greater than the
amplitude of Tsallis entropy which inturn is greater than the amplitude of
Shannon entropy. The Tsallis entropy is not more significant in nanostructure
compared to Shannon and Gauss entropies, (ii) With an increase of the zero
point, the dominance of the Gauss entropy on the Shannon entropy was observed
on one hand and the dominance of the Shannon entropy on the Tsallis entropy on
the other hand ; this suggested that in nanostructures, Gauss entropy is more
suitable in the evaluation of the average of information in the system, for the
delta quantum dot it was observed that (iii) when the Gauss entropy is
considered, a lot of information about the system is missed. The collapse
revival phenomenon in Shannon entropy was observed in RbCl and GaAs delta
quantum dot with the enhancement of delta parameter; with an increase in this
parameter, the system in the case of CsI evolved coherently; with Shannon and
Tsallis entropies , information in the system is faster and coherently
exchanged; (iv) The Shannon entropy is more significant because its amplitude
outweighs on the others when the delta dimension length enhances. The Tsallis
entropy involves as wave bundle; which oscillate periodically with an increase
of the oscillation period when delta dimension length is improved. | | Source: | arXiv, 1703.9158 | | Services: | Forum | Review | PDF | Favorites | |
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