Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

Nonlinear Sciences > Pattern Formation and Solitons

arXiv:1202.4483 (nlin)
[Submitted on 20 Feb 2012 (v1), last revised 23 Aug 2012 (this version, v3)]

Title:Asymmetric Wave Propagation Through Nonlinear PT-symmetric Oligomers

Authors:J. D'Ambroise, P. G. Kevrekidis, S. Lepri
View PDF
Abstract:In the present paper, we consider nonlinear PT-symmetric dimers and trimers (more generally, oligomers) embedded within a linear Schr{ö}dinger lattice. We examine the stationary states of such chains in the form of plane waves, and analytically compute their reflection and transmission coefficients through the nonlinear PT symmetric oligomer, as well as the corresponding rectification factors which clearly illustrate the asymmetry between left and right propagation in such systems. We examine not only the existence but also the dynamical stability of the plane wave states and interestingly find them to be generically unstable. Lastly, we generalize our numerical considerations to the more physically relevant case of Gaussian initial wavepackets and confirm that the asymmetry in the transmission properties persists in the case of such wavepackets, as well.
Subjects: Pattern Formation and Solitons (nlin.PS)
Cite as: arXiv:1202.4483 [nlin.PS]
  (or arXiv:1202.4483v3 [nlin.PS] for this version)
  https://doi.org/10.48550/arXiv.1202.4483
Related DOI: https://doi.org/10.1088/1751-8113/45/44/444012

Submission history

From: Jennie D'Ambroise [view email]
[v1] Mon, 20 Feb 2012 22:04:12 UTC (193 KB)
[v2] Wed, 20 Jun 2012 20:15:17 UTC (218 KB)
[v3] Thu, 23 Aug 2012 17:25:28 UTC (219 KB)
Full-text links:

Access Paper:

  • View PDF
  • TeX Source
  • Other Formats
view license
Current browse context:
nlin.PS
< prev   |   next >
new | recent | 2012-02
Change to browse by:
nlin

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)