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Cited by 532

The DOI matches its Crossref record; 153 of the 153 references it cites were found in a registry or an index.

Quantum wave packet revivals

Open access
Robinett, R·2004·Physics Reports
DOI 10.1016/j.physrep.2003.11.002
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Abstract

Abstract The numerical prediction, theoretical analysis, and experimental verification of the phenomenon of wave packet revivals in quantum systems has flourished over the last decade and a half. Quantum revivals are characterized by initially localized quantum states which have a short-term, quasi-classical time evolution, which then can spread significantly over several orbits, only to reform later in the form of a quantum revival in which the spreading reverses itself, the wave packet relocalizes, and the semi-classical periodicity is once again evident. Relocalization of the initial wave packet into a number of smaller copies of the initial packet (‘minipackets’ or ‘clones’) is also possible, giving rise to fractional revivals. Systems exhibiting such behavior are a fundamental realization of time-dependent interference phenomena for bound states with quantized energies in quantum mechanics and are therefore of wide interest in the physics and chemistry communities. We review the theoretical machinery of quantum wave packet construction leading to the existence of revivals and fractional revivals, in systems with one (or more) quantum number(s), as well as discussing how information on the classical period and revival time is encoded in the energy eigenvalue spectrum. We discuss a number of one-dimensional model systems which exhibit revival behavior, including the infinite well, the quantum bouncer, and others, as well as several two-dimensional integrable quantum billiard systems. Finally, we briefly review the experimental evidence for wave packet revivals in atomic, molecular, and other systems, and related revival phenomena in condensed matter and optical systems.

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Metadata

Authors
Robinett, R.
Venue
Physics Reports
Publisher
Elsevier BV
Published
2004-03
Volume
392
Issue
1-2
Pages
1-119
ISSN
0370-1573 (ISSN-L)
DOI
10.1016/j.physrep.2003.11.002
OpenAlex
W1967819840
Cited by
532
References
153
FWCI
19.10
Type
journal article
Language
en
Open access
green

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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

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