Exceptional-point dynamics in photonic honeycomb lattices with PT symmetry

被引:85
作者
Ramezani, Hamidreza [1 ]
Kottos, Tsampikos [1 ,2 ]
Kovanis, Vassilios [3 ]
Christodoulides, Demetrios N. [4 ]
机构
[1] Wesleyan Univ, Dept Phys, Middletown, CT 06459 USA
[2] MPI Dynam & Self Org, D-37073 Gottingen, Germany
[3] USAF, Res Lab, Sensors Directorate, Wright Patterson AFB, OH 45433 USA
[4] Univ Cent Florida, Coll Opt Photon CREOL, Orlando, FL 32816 USA
来源
PHYSICAL REVIEW A | 2012年 / 85卷 / 01期
基金
美国国家科学基金会;
关键词
SPONTANEOUS EMISSION; CONICAL DIFFRACTION; PSEUDO-HERMITICITY;
D O I
10.1103/PhysRevA.85.013818
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We theoretically investigate the flow of electromagnetic waves in complex honeycomb photonic lattices with local PT symmetries. Such PT structure is introduced via a judicious arrangement of gain and loss across the honeycomb lattice, characterized by a gain and loss parameter gamma. We found a class of conical diffraction phenomena where the formed cone is brighter and travels along the lattice with a transverse speed proportional to root gamma.
引用
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页数:6
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共 44 条
[1]   Evolution of Bloch-mode envelopes in two-dimensional generalized honeycomb lattices [J].
Ablowitz, Mark J. ;
Zhu, Yi .
PHYSICAL REVIEW A, 2010, 82 (01)
[2]   Conical diffraction in honeycomb lattices [J].
Ablowitz, Mark J. ;
Nixon, Sean D. ;
Zhu, Yi .
PHYSICAL REVIEW A, 2009, 79 (05)
[3]   Symmetry breaking in honeycomb photonic lattices [J].
Bahat-Treidel, Omri ;
Peleg, Or ;
Sgev, Mordechai .
OPTICS LETTERS, 2008, 33 (19) :2251-2253
[4]   Klein Tunneling in Deformed Honeycomb Lattices [J].
Bahat-Treidel, Omri ;
Peleg, Or ;
Grobman, Mark ;
Shapira, Nadav ;
Segev, Mordechai ;
Pereg-Barnea, T. .
PHYSICAL REVIEW LETTERS, 2010, 104 (06)
[5]   Faster than hermitian quantum mechanics [J].
Bender, Carl M. ;
Brody, Dorje C. ;
Jones, Hugh F. ;
Meister, Bernhard K. .
PHYSICAL REVIEW LETTERS, 2007, 98 (04)
[6]   Making sense of non-Hermitian Hamiltonians [J].
Bender, Carl M. .
REPORTS ON PROGRESS IN PHYSICS, 2007, 70 (06) :947-1018
[7]   Complex extension of quantum mechanics [J].
Bender, CM ;
Brody, DC ;
Jones, HF .
PHYSICAL REVIEW LETTERS, 2002, 89 (27)
[8]   Real spectra in non-Hermitian Hamiltonians having PT symmetry [J].
Bender, CM ;
Boettcher, S .
PHYSICAL REVIEW LETTERS, 1998, 80 (24) :5243-5246
[9]   Generalized PT symmetry and real spectra [J].
Bender, CM ;
Berry, MV ;
Mandilara, A .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (31) :L467-L471
[10]   Optical structures with local PT-symmetry [J].
Bendix, O. ;
Fleischmann, R. ;
Kottos, T. ;
Shapiro, B. .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (26)