PT symmetric Aubry-Andre model

被引：70

作者：

Yuce, C. ^{[1
]}

机构：

[1] Anadolu Univ, Dept Phys, Eskisehir, Turkey

来源：

PHYSICS LETTERS A | 2014年 / 378卷 / 30-31期

关键词：

Non-Hermitian Hamiltonian; PT symmetric optical system; ELECTRONS; LIGHT;

D O I：

10.1016/j.physleta.2014.05.005

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

PT symmetric Aubry-Andre model describes an array of N coupled optical waveguides with position-dependent gain and loss. We show that the reality of the spectrum depends sensitively on the degree of quasi-periodicity for small number of lattice sites. We obtain the Hofstadter butterfly spectrum and discuss the existence of the phase transition from extended to localized states. We show that rapidly changing periodical gain/loss materials almost conserve the total intensity. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：2024 / 2028

页数：5

共 38 条

[1] Aubry S., 1980, Annals of the Israel Physical Society, V3, P133
[2] Real spectra in non-Hermitian Hamiltonians having PT symmetry
Bender, CM
Boettcher, S
[J]. PHYSICAL REVIEW LETTERS, 1998, 80 (24) : 5243 - 5246
[3] PT-symmetric quantum mechanics
Bender, CM
Boettcher, S
Meisinger, PN
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1999, 40 (05) : 2201 - 2229
[4] Optical structures with local PT-symmetry
Bendix, O.
Fleischmann, R.
Kottos, T.
Shapiro, B.
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (26)
[5] Exponentially Fragile PT Symmetry in Lattices with Localized Eigenmodes
Bendix, Oliver
Fleischmann, Ragnar
Kottos, Tsampikos
Shapiro, Boris
[J]. PHYSICAL REVIEW LETTERS, 2009, 103 (03)
[6] Waveguide structures with antisymmetric gain/loss profile
Ctyroky, Jiri
Kuzmiak, Vladimir
Eyderman, Sergey
[J]. OPTICS EXPRESS, 2010, 18 (21): : 21585 - 21593
[7] Spectral and transport properties of time-periodic PT-symmetric tight-binding lattices
Della Valle, Giuseppe
Longhi, Stefano
[J]. PHYSICAL REVIEW A, 2013, 87 (02):
[8] Exploring a metal-insulator transition with ultracold atoms in standing light waves?
Drese, K
Holthaus, M
[J]. PHYSICAL REVIEW LETTERS, 1997, 78 (15) : 2932 - 2935
[9] Local PT invariance and supersymmetric parametric oscillators
El-Ganainy, Ramy
Makris, Konstantinos G.
Christodoulides, Demetrios N.
[J]. PHYSICAL REVIEW A, 2012, 86 (03):
[10] Observation of PT-Symmetry Breaking in Complex Optical Potentials
Guo, A.
Salamo, G. J.
Duchesne, D.
Morandotti, R.
Volatier-Ravat, M.
Aimez, V.
Siviloglou, G. A.
Christodoulides, D. N.
[J]. PHYSICAL REVIEW LETTERS, 2009, 103 (09)

← 1 2 3 4 →