PT-symmetric lattices with spatially extended gain/loss are generically unstable

被引：17

作者：

Pelinovsky, D. E. ^{[1
]}

Kevrekidis, P. G. ^{[2
]}

Frantzeskakis, D. J. ^{[3
]}

机构：

[1] McMaster Univ, Dept Math, Hamilton, ON L8S 4K1, Canada

[2] Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA

[3] Univ Athens Panepistimiopolis, Dept Phys, Athens 15784, Greece

来源：

EPL | 2013年 / 101卷 / 01期

基金：

美国国家科学基金会;

关键词：

SOLITONS;

D O I：

10.1209/0295-5075/101/11002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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

引用

页数：6

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