Burke, Phillip C. and Wiersig, Jan and Haque, Masudul (2020) Non-Hermitian scattering on a tight-binding lattice. Working Paper. arXiv.

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Abstract

We analyze the scattering dynamics and spectrum of a quantum particle on a tight-binding lattice subject to a non-Hermitian (purely imaginary) local potential. The reflection, transmission and absorption coefficients are studied as a function of the strength of this absorbing potential. The system is found to have an exceptional point at a certain strength of the potential. Unusually, all (or nearly all) of the spectrum pairs up into mutually coalescing eigenstate pairs at this exceptional point. At large potential strengths, the absorption coefficient decreases and the effect of the imaginary potential is similar to that of a real potential. We quantify this similarity by utilizing properties of a localized eigenstate.

Item Type:	Monograph (Working Paper)
Additional Information:	Cite this version as: arXiv:1910.07439. The published version of the article is available at Non-Hermitian scattering on a tight-binding lattice, author = {Burke, Phillip C. and Wiersig, Jan and Haque, Masudul, Phys. Rev. A, 102 (012212), 2020, American Physical Society, doi: 10.1103/PhysRevA.102.012212}, https://link.aps.org/doi/10.1103/PhysRevA.102.012212
Keywords:	Non-Hermitian scattering; tight-binding lattice;
Academic Unit:	Faculty of Science and Engineering > Theoretical Physics
Item ID:	14830
Identification Number:	https://doi.org/10.1103/PhysRevA.102.012212
Depositing User:	Masud Haque
Date Deposited:	17 Sep 2021 15:13
Publisher:	arXiv
URI:	Organisation
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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