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Approximate Quantum Cloaking and Almost-Trapped States

Greenleaf, A; Kurylev, Y; Lassas, M; Uhlmann, G; (2008) Approximate Quantum Cloaking and Almost-Trapped States. PHYS REV LETT , 101 (22) , Article 220404. 10.1103/PhysRevLett.101.220404. Green open access

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Abstract

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.

Type: Article
Title: Approximate Quantum Cloaking and Almost-Trapped States
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevLett.101.220404
Publisher version: http://dx.doi.org/10.1103/PhysRevLett.101.220404
Language: English
Additional information: © 2008 The American Physical Society
Keywords: FREQUENCIES
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/120798
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