Collapse and revival for a slightly anharmonic Hamiltonian

Alexandra Bakman, Hagar Veksler, Shmuel Fishman

Research output: Contribution to journalArticlepeer-review


The effect of quantum collapse and revival is a fascinating interference phenomenon. In this paper the phenomenon is studied analytically and numerically for a simple system, a slightly anharmonic oscillator. The initial wave-function corresponds to a displaced ground state of a harmonic oscillator. Possible experimental realizations for cold atoms are discussed in detail.

Original languageEnglish
Pages (from-to)2298-2304
Number of pages7
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number29
StatePublished - 5 Aug 2017
Externally publishedYes

Bibliographical note

Funding Information:
We thank Immanuel Bloch, Steven Tomsovic, Yoav Sagi and Jeff Steinhauer for highly informative and stimulating discussions. This work was supported in part by the Israel Science Foundation (ISF) grants 1028/12 and 931/16, by the US-Israel Binational Science Foundation (BSF) grant number 2010132 and by the Shlomo Kaplansky academic chair. SF thanks the Kavli Institute for Theoretical Physics in Santa Barbara for its hospitality, where this research was supported in part by the US National Science Foundation (NSF) under grant NSF PHY11-25915.

Publisher Copyright:
© 2017 Elsevier B.V.


  • Anharmonicity
  • Collapse and revival
  • Nonlinearity
  • Optical lattice
  • Semiclassical approximation

ASJC Scopus subject areas

  • Physics and Astronomy (all)


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