Collapse and revival for a slightly anharmonic Hamiltonian

Alexandra Bakman; Hagar Veksler; Shmuel Fishman

doi:10.1016/j.physleta.2017.05.021

Collapse and revival for a slightly anharmonic Hamiltonian

Alexandra Bakman, Hagar Veksler, Shmuel Fishman

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

Abstract

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 language	English
Pages (from-to)	2298-2304
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	381
Issue number	29
DOIs	https://doi.org/10.1016/j.physleta.2017.05.021
State	Published - 5 Aug 2017
Externally published	Yes

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.

Keywords

Anharmonicity
Collapse and revival
Nonlinearity
Optical lattice
Semiclassical approximation

ASJC Scopus subject areas

Physics and Astronomy (all)

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10.1016/j.physleta.2017.05.021

Cite this

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Collapse and revival for a slightly anharmonic Hamiltonian

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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