Spectral and transport properties of the PT-symmetric dimer model

被引:8
作者
Vazquez-Candanedo, O. [1 ]
Izrailev, F. M. [1 ,2 ,3 ]
Christodoulides, D. N. [4 ]
机构
[1] Univ Autonoma Puebla, Inst Fis, Puebla 72570, Mexico
[2] Michigan State Univ, NSCL, E Lansing, MI 48824 USA
[3] Michigan State Univ, Dept Phys & Astron, E Lansing, MI 48824 USA
[4] Univ Cent Florida, Coll Opt & Photon CREOL, Orlando, FL 32816 USA
关键词
PT-symmetry; Scattering; Dimers; PARITY-TIME SYMMETRY; TRANSMISSION; REFLECTION;
D O I
10.1016/j.physe.2015.04.010
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
We study the scattering properties of the PT-symmetric tight-binding model with balanced gain and loss parameters. Our main interest is to establish the link between the spectral properties of scattering states and transport characteristics for the case of non-equal couplings between gain/loss sites. The analytical approach we have used allows one to reveal a quite unexpected role of this set-up in comparison with that of equal couplings. In particular, we demonstrate that for the exceptional points characterized by equal eigenvalues of the transfer matrix, the transmission coefficient can be different from one in contrast with the model with equal couplings. The analytical results are complemented by the numerical data. (C) 2015 Elsevier B.V. All rights reserved
引用
收藏
页码:7 / 16
页数:10
相关论文
共 50 条
[31]   DECOHERENCE IN A PT-SYMMETRIC QUBIT [J].
Bhat, J. M. ;
Lone, M. Q. ;
Datta, S. ;
Dar, G. N. ;
Farouk, A. .
UKRAINIAN JOURNAL OF PHYSICS, 2023, 68 (02) :101-107
[32]   PT-symmetric quantum mechanics [J].
Bender, Carl M. ;
Hook, Daniel W. .
REVIEWS OF MODERN PHYSICS, 2024, 96 (04)
[33]   Random matrix ensembles for PT-symmetric systems [J].
Graefe, Eva-Maria ;
Mudute-Ndumbe, Steve ;
Taylor, Matthew .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2015, 48 (38)
[34]   The finite PT-symmetric square well potential [J].
Levai, Geza ;
Kovacs, Jozsef .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2019, 52 (02)
[35]   Enhanced Sensitivity in PT-Symmetric Coupled Resonators [J].
Hodaei, H. ;
Hassan, A. U. ;
Garcia-Gracia, H. ;
Hayenga, W. E. ;
Christodoulides, D. N. ;
Khajavikhan, M. .
LASER RESONATORS, MICRORESONATORS, AND BEAM CONTROL XIX, 2017, 10090
[36]   PT-symmetric quantum graphs [J].
Matrasulov, D. U. ;
Sabirov, K. K. ;
Yusupov, J. R. .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2019, 52 (15)
[37]   PT-symmetric sextic potentials [J].
Bagchi, B ;
Cannata, F ;
Quesne, C .
PHYSICS LETTERS A, 2000, 269 (2-3) :79-82
[38]   PT-Symmetric Quantum Rabi Model: Solutions and Exceptional Points [J].
Li, Jiong ;
Wang, Yi-Cheng ;
Duan, Li-Wei ;
Chen, Qing-Hu .
ADVANCED QUANTUM TECHNOLOGIES, 2025, 8 (06)
[39]   PT-symmetric supersymmetry in a solvable short-range model [J].
Bagchi, B. ;
Mallik, S. ;
Bila, H. ;
Jakubsky, V. ;
Znojil, M. ;
Quesne, C. .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2006, 21 (10) :2173-2190
[40]   One-way light transport controlled by synthetic magnetic fluxes and PT-symmetric resonators [J].
Jin, L. ;
Wang, P. ;
Song, Z. .
NEW JOURNAL OF PHYSICS, 2017, 19