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Phys. Rev. Lett. 100, 123002 (2008) [4 pages]

Cloaking of Matter Waves

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Shuang Zhang, Dentcho A. Genov, Cheng Sun, and Xiang Zhang*
Nanoscale Science and Engineering Center, University of California, 5130 Etcheverry Hall, Berkeley, California 94720-1740, USA

Received 17 August 2007; revised 7 January 2008; published 24 March 2008

Invariant transformation for quantum mechanical systems is proposed. A cloaking of matter wave can be realized at given energy by designing the potential and effective mass of the matter waves in the cloaking region. The general conditions required for such a cloaking are determined and confirmed by both the wave and particle (classical) approaches. We show that it may be possible to construct such a cloaking system for cold atoms using optical lattices.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.123002
DOI:
10.1103/PhysRevLett.100.123002
PACS:
34.50.−s, 03.75.−b, 61.05.fd, 78.70.−g

*Corresponding author.

xiang@berkeley.edu