Quantum confinement in an asymmetric double-well potential through energy analysis and information entropic measure

Abstract

Localization of a particle in the wells of an asymmetric double-well (DW) potential is investigated here. Information entropy-based uncertainty measures, such as Shannon entropy, Fisher information, Onicescu energy, etc., and phasespace area, are utilized to explain the contrasting effect of localization-delocalization and role of asymmetric term in such two-well potentials. In asymmetric situation, two wells behaves like two different potentials. A general rule has been proposed for arrangement of quasi-degenerate pairs, in terms of asymmetry parameter. Further, it enables to describe the distribution of particle in either of the deeper or shallow wells in various energy states. One finds that, all states eventually get localized to the deeper well, provided the asymmetry parameter attains certain threshold value. This generalization produces symmetric DW as a natural consequence of asymmetric DW. Eigenfunctions, eigenvalues are obtained by means of a simple, accurate variationinduced exact diagonalization method. In brief, information measures and phase-space analysis can provide valuable insight toward the understanding of such potentials.

References in corpus (8)

• Quantum Computing
• Quantum Walk in Position Space with Single Optically Trapped Atoms
• Single Particle Tunneling in Strongly Driven Double Well Potentials
• Information Entropy, Information Distances and Complexity in Atoms
• The double well potential in quantum mechanics: a simple, numerically exact formulation
• Condensate splitting in an asymmetric double well for atom chip based sensors
• Comparison of SDL and LMC measures of complexity: Atoms as a testbed
• Semi-classical formula for quantum tunneling in asymmetric double-well potentials

Cited by in corpus (4)

• Information entropic measures of a quantum harmonic oscillator in symmetric and asymmetric confinement within an impenetrable box
• Information-entropic measures for non-zero l states of confined hydrogen-like ions
• Relative Fisher information in some central potentials
• Information-Entropic Measures in Confined Isotropic Harmonic Oscillator