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Basic modelling of transport in 2D wave-mechanical nanodots and billiards with balanced gain and loss mediated by complex potentials

Berggren, Karl Fredrik LU ; Tellander, Felix and Yakimenko, Irina (2018) In Journal of Physics Condensed Matter 30(20).
Abstract

Non-Hermitian quantum mechanics with parity-time (PT) symmetry is presently gaining great interest, especially within the fields of photonics and optics. Here, we give a brief overview of low-dimensional semiconductor nanodevices using the example of a quantum dot with input and output leads, which are mimicked by imaginary potentials for gain and loss, and how wave functions, particle flow, coalescence of levels and associated breaking of PT symmetry may be analysed within such a framework. Special attention is given to the presence of exceptional points and symmetry breaking. Related features for musical string instruments and 'wolf-notes' are outlined briefly with suggestions for further experiments.

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author
publishing date
type
Contribution to journal
publication status
published
subject
keywords
exceptional points, musical instruments, non-Hermitian quantum mechanics, open quantum dots, parity-time symmetry, symmetry breaking, transport
in
Journal of Physics Condensed Matter
volume
30
issue
20
publisher
IOP Publishing
external identifiers
  • scopus:85046266216
ISSN
0953-8984
DOI
10.1088/1361-648X/aabbfc
language
English
LU publication?
no
id
e0bc6c35-220e-4462-9e1e-ced762c6b5ba
date added to LUP
2018-05-18 13:00:02
date last changed
2018-11-21 21:39:53
@article{e0bc6c35-220e-4462-9e1e-ced762c6b5ba,
  abstract     = {<p>Non-Hermitian quantum mechanics with parity-time (PT) symmetry is presently gaining great interest, especially within the fields of photonics and optics. Here, we give a brief overview of low-dimensional semiconductor nanodevices using the example of a quantum dot with input and output leads, which are mimicked by imaginary potentials for gain and loss, and how wave functions, particle flow, coalescence of levels and associated breaking of PT symmetry may be analysed within such a framework. Special attention is given to the presence of exceptional points and symmetry breaking. Related features for musical string instruments and 'wolf-notes' are outlined briefly with suggestions for further experiments.</p>},
  articleno    = {204003},
  author       = {Berggren, Karl Fredrik and Tellander, Felix and Yakimenko, Irina},
  issn         = {0953-8984},
  keyword      = {exceptional points,musical instruments,non-Hermitian quantum mechanics,open quantum dots,parity-time symmetry,symmetry breaking,transport},
  language     = {eng},
  month        = {04},
  number       = {20},
  publisher    = {IOP Publishing},
  series       = {Journal of Physics Condensed Matter},
  title        = {Basic modelling of transport in 2D wave-mechanical nanodots and billiards with balanced gain and loss mediated by complex potentials},
  url          = {http://dx.doi.org/10.1088/1361-648X/aabbfc},
  volume       = {30},
  year         = {2018},
}