Quantum revivals and carpets in some exactly solvable systems

Will Loinaz; T. J. Newman

doi:10.1088/0305-4470/32/50/309

Quantum revivals and carpets in some exactly solvable systems

Will Loinaz
, T. J. Newman

Research output: Contribution to journal › Article › peer-review

25 Citations (Scopus)

Abstract

We consider the revival properties of quantum systems with an eigenspectrum E ? n, 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, these systems all enjoy perfect fractional revivals at quarterly intervals of t. 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.

Original language	English
Pages (from-to)	8889-8895
Number of pages	7
Journal	Journal of Physics A: Mathematical and General
Volume	32
Issue number	50
DOIs	https://doi.org/10.1088/0305-4470/32/50/309
Publication status	Published - 17 Dec 1999

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abstract = "We consider the revival properties of quantum systems with an eigenspectrum E ? n, 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, these systems all enjoy perfect fractional revivals at quarterly intervals of t. A closer examination of the quantum evolution is performed for the P{\"o}schel-Teller and Rosen-Morse potentials, and comparison is made with the infinite square well using quantum carpets.",

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AB - We consider the revival properties of quantum systems with an eigenspectrum E ? n, 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, these systems all enjoy perfect fractional revivals at quarterly intervals of t. 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.

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Quantum revivals and carpets in some exactly solvable systems

Abstract

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