Approximate quantum cloaking and almost-trapped states

We describe potentials which act as approximate cloaks for matter waves. These potentials are derived from ideal cloaks for the conductivity and Helmholtz equations. At most energies E, if a potential is surrounded by an approximate cloak, then it becomes almost undetectable and unaltered by matter...

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Bibliographic Details
Published in:Physical review letters 2008-11, Vol.101 (22), p.220404-220404, Article 220404
Main Authors: Greenleaf, Allan, Kurylev, Yaroslav, Lassas, Matti, Uhlmann, Gunther
Format: Article
Language:English
Subjects:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
EQUATIONS
IONS
POTENTIALS
QUANTUM MECHANICS
SWITCHES
TRAPPING
WAVE FUNCTIONS
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Summary:We describe potentials which act as approximate cloaks for matter waves. These potentials are derived from ideal cloaks for the conductivity and Helmholtz equations. At most energies E, if a potential is surrounded by an approximate cloak, then it becomes almost undetectable and unaltered by matter waves originating externally to the cloak. For certain E, however, the approximate cloaks are resonant, supporting wave functions almost trapped inside the cloaked region and negligible outside. Applications include dc or magnetically tunable ion traps and beam switches.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.101.220404