Quantum information entropies of the eigenstates and the coherent state of the Pöschl-Teller potential

Abstract

The position and momentum space information entropies, of the ground state of the Pöschl-Teller potential, are exactly evaluated and are found to satisfy the bound, obtained by Beckner, Bialynicki-Birula and Mycielski. These entropies for the first excited state, for different strengths of the potential well, are then numerically obtained. Interesting features of the entropy densities, owing their origin to the excited nature of the wave functions, are graphically demonstrated. We then compute the position space entropies of the coherent state of the Pöschl-Teller potential, which is known to show revival and fractional revival. Time evolution of the coherent state reveals many interesting patterns in the space-time flow of information entropy.

Revtex4, 11 pages, 11 eps figures and a table

References in corpus (5)

• An optimal entropic uncertainty relation in a two-dimensional Hilbert space
• Coherent states for exactly solvable potentials
• Chaos and Exponentially Localized Eigenstates in Smooth Hamiltonian Systems
• The Spectrum of Sl(2, R)/U(1) Black Hole Conformal Field Theory
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Cited by in corpus (10)

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• Information entropy as a measure of tunneling and quantum confinement in a symmetric double-well potential
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• Information Entropy of conditionally exactly solvable potentials
• On the quantum information entropies and squeezing associated with the eigenstates of isotonic oscillator
• Quantum information entropies for a soliton at hyperbolic well
• The minimal length and the Shannon entropic uncertainty relation
• Quantum Information Measures in Quartic and Symmetric Potentials using perturbative approach
• Phase space distributions in information theory
• Quantum information entropies of ultra-cold atomic gases in a harmonic trap