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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