Quantum revivals and carpets in some exactly solvable systems

1999/02/28 by Will Loinaz, T. J. Newman, T J Newman · 2 citations
Mathematics · Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #quant-ph

paper · pdf · doi:10.1088/0305-4470/32/50/309

published as J.Phys.A32:8889-8895,1999 · 5 pages, 5 figures (1 new), minor additions, to appear in J. Phys. A

arxiv created 1999/11/09 · openalex publication_date 1999/12/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We consider the revival properties of quantum systems with an eigenspectrum E n n 2 , and compare them with the simplest member of this class - the infinite square well. In addition to having perfect revivals at integer multiples of the revival time t R , these systems all enjoy perfect fractional revivals at quarterly intervals of t R . A closer examination of the quantum evolution is performed for the Pöschel-Teller and Rosen-Morse potentials, and comparison is made with the infinite square well using quantum carpets.

Citations

• Fractional wave-function revivals in the infinite square well
• The evolution and revival structure of localized quantum wave packets
• Coherence and decay of Rydberg wave Packets
• Supersymmetry and Quantum Mechanics
• Experiment and the foundations of quantum physics
• Superrevivals in the quantum dynamics of a particle confined in a finite square-well potential

Cited by

• Coherent state of a nonlinear oscillator and its revival dynamics
• Wigner quasi-probability distribution for the infinite square well: Energy eigenstates and time-dependent wave packets