Quantum information entropies for solitonic systems
- URL: http://arxiv.org/abs/2308.07353v1
- Date: Mon, 14 Aug 2023 10:15:30 GMT
- Title: Quantum information entropies for solitonic systems
- Authors: Ramkumar Radhakrishnan, Mariyah Ughradar, Vikash Kumar Ojha
- Abstract summary: We study a particle with the solitonic mass distribution in two different forms of potential: the quartic and the symmetric potential.
We have observed that the Shannon entropy is greater for the solitonic mass distribution when it is subjected to a quartic potential.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Particle with position-dependent mass is a useful concept in the context of
semiconductor physics. We study a particle with the solitonic mass distribution
in two different forms of potential: the quartic and the symmetric potential.
We estimate the Shannon entropy and Fisher information associated with the
ground state of particle in these two scenarioes by obtaining the wave-function
from Zhu-Kroemer equation. The ground state of the particle in each case
satisfies the Bialynicki-Birula-Mycielski inequality. Upon comparing all four
models under consideration, we have observed that the Shannon entropy is
greater for the solitonic mass distribution when it is subjected to a quartic
potential.
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