Energy localization in an atomic chain with a topological soliton

authored by: Hendrik Weimer, Lars Timm, Luis Sanchez Santos, Tanja E. Mehlstäubler
Abstract: Topological defects in low-dimensional non-linear systems feature a sliding-to-pinning transition of relevance for a variety of research fields, ranging from biophysics to nano- and solid-state physics. We find that the dynamics after a local excitation results in a highly-non-trivial energy transport in the presence of a topological soliton, characterized by a strongly enhanced energy localization in the pinning regime. Moreover, we show that the energy flux in ion crystals with a topological defect can be sensitively regulated by experimentally accessible environmental parameters. Whereas, third-order non-linear resonances can cause an enhanced long-time energy delocalization, robust energy localization persists for distinct parameter ranges even for long evolution times and large local excitations.
Organisation(s): Institute of Theoretical Physics
QuantumFrontiers
CRC 1227 Designed Quantum States of Matter (DQ-mat)
External Organisation(s): National Metrology Institute of Germany (PTB)
Type: Article
Journal: Physical Review Research
Volume: 2
No. of pages: 6
Publication date: 05.08.2020
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Physics and Astronomy(all)
Electronic version(s): https://doi.org/10.1103/PhysRevResearch.2.033198 (Access: Open)
https://doi.org/10.1103/physrevresearch.2.033198 (Access: Open)
https://doi.org/10.48550/arXiv.1910.02135 (Access: Open)

BibTeX

@article{8c4847a7b1484260a74fe9638a784194,
title = "Energy localization in an atomic chain with a topological soliton",
abstract = " Topological defects in low-dimensional non-linear systems feature a sliding-to-pinning transition of relevance for a variety of research fields, ranging from biophysics to nano- and solid-state physics. We find that the dynamics after a local excitation results in a highly-non-trivial energy transport in the presence of a topological soliton, characterized by a strongly enhanced energy localization in the pinning regime. Moreover, we show that the energy flux in ion crystals with a topological defect can be sensitively regulated by experimentally accessible environmental parameters. Whereas, third-order non-linear resonances can cause an enhanced long-time energy delocalization, robust energy localization persists for distinct parameter ranges even for long evolution times and large local excitations. ",
keywords = "quant-ph, physics.atom-ph",
author = "Hendrik Weimer and Lars Timm and Santos, {Luis Sanchez} and Mehlst{\"a}ubler, {Tanja E.}",
note = "We thank J. Kiethe and H. F{\"u}rst for discussions and comments on the manuscript. The authors acknowledge the support from the DFG (Grants No. SFB 1227 DQ-mat, Project A07, and No. EXC 2123 QuantumFrontiers) and the Volkswagen Foundation. This project has received funding from the European Metrology Programme for Innovation and Research (EMPIR) cofinanced by the Participating States and from the European Union{\textquoteright}s Horizon 2020 research and innovation programme (Project No. 17FUN07 CC4C).",
year = "2020",
month = aug,
day = "5",
doi = "10.1103/PhysRevResearch.2.033198",
language = "English",
volume = "2",
journal = "Physical Review Research",
publisher = "American Physical Society",
number = "3",
}