Structure invariant wave packets

We show that by adding a quadratic phase to an initial arbitrary wave function, its free evolution maintains an invariant structure which it spreads by the action of a squeeze operator. Although such invariance is an approximation, we show that it perfectly matches the exact evolution.

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Bibliographic Details
Published in:Physica scripta 2018-12, Vol.93 (12), p.124005
Main Authors: Arrizon, V, Soto-Eguibar, F, Moya-Cessa, H M
Format: Article
Language:English
Subjects:
Bessel functions
evolution invariance
wave packets
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Description
Summary:We show that by adding a quadratic phase to an initial arbitrary wave function, its free evolution maintains an invariant structure which it spreads by the action of a squeeze operator. Although such invariance is an approximation, we show that it perfectly matches the exact evolution.
ISSN:0031-8949
1402-4896
DOI:10.1088/1402-4896/aae73c