期刊
EPL
卷 101, 期 1, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1209/0295-5075/101/11002
关键词
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资金
- US National Science Foundation [NSF-DMS-0806762, NSF-CMMI-1000337]
- Alexander von Humboldt Foundation
- US AFOSR [FA9550-12-1-0332]
- University of Athens
- Directorate For Engineering
- Div Of Civil, Mechanical, & Manufact Inn [1000337] Funding Source: National Science Foundation
We illustrate, through a series of prototypical examples, that linear parity-time (PT) symmetric lattices with spatially extended gain/loss are generically unstable, for any non-zero value of the gain/loss coefficient. Our examples include a parabolic real potential with a linear imaginary part and the cases of no real and piecewise constant or linear imaginary potentials. On the other hand, this instability can be avoided and the spectrum can be real for localized or compact PT-symmetric potentials. The linear lattices are analyzed through discrete Fourier transform techniques complemented by numerical computations. Copyright (C) EPLA, 2013
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