Heat transport in an ion Coulomb crystal with a topological defect

authored by: L. Timm, H. Weimer, L. Santos, Tanja Mehlstäubler
Abstract: The thermodynamics of low-dimensional systems departs significantly from phenomenologically deducted macroscopic laws. Particular examples, not yet fully understood, are provided by the breakdown of Fourier's law and the ballistic transport of heat. Low-dimensional trapped ion systems provide an experimentally accessible and well-controlled platform for the study of these problems. In our paper, we study the transport of thermal energy in low-dimensional trapped ion crystals, focusing, in particular, on the influence of the Aubry-like transition that occurs when a topological defect is present in the crystal. We show that the transition significantly hinders efficient heat transport, being responsible for the rise of a marked temperature gradient in the nonequilibrium steady state. Further analysis reveals the importance of the motional eigenfrequencies of the crystal.
Organisation(s): Institute of Theoretical Physics
CRC 1227 Designed Quantum States of Matter (DQ-mat)
Institute of Quantum Optics
Type: Article
Journal: Physical Review B
Volume: 108
ISSN: 2469-9950
Publication date: 06.10.2023
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Electronic, Optical and Magnetic Materials, Condensed Matter Physics
Electronic version(s): https://doi.org/10.48550/arXiv.2306.05845 (Access: Open)
https://doi.org/10.1103/PhysRevB.108.134302 (Access: Closed)

BibTeX

@article{6e8196b73fda4a3aaf31596977394baf,
title = "Heat transport in an ion Coulomb crystal with a topological defect",
abstract = "The thermodynamics of low-dimensional systems departs significantly from phenomenologically deducted macroscopic laws. Particular examples, not yet fully understood, are provided by the breakdown of Fourier's law and the ballistic transport of heat. Low-dimensional trapped ion systems provide an experimentally accessible and well-controlled platform for the study of these problems. In our paper, we study the transport of thermal energy in low-dimensional trapped ion crystals, focusing, in particular, on the influence of the Aubry-like transition that occurs when a topological defect is present in the crystal. We show that the transition significantly hinders efficient heat transport, being responsible for the rise of a marked temperature gradient in the nonequilibrium steady state. Further analysis reveals the importance of the motional eigenfrequencies of the crystal.",
author = "L. Timm and H. Weimer and L. Santos and Tanja Mehlst{\"a}ubler",
note = "Funding Information: This project has been funded by the Deutsche Forschungsgemeinschaft (DFG) under Germany's Excellence Strategy–EXC-2123 QuantumFrontiers–390837967 and by the Deutsche Forschungsgemeinschaft (DFG) through SFB1227 (DQmat)–Project-ID No. 274200144, Project No. A07.",
year = "2023",
month = oct,
day = "6",
doi = "10.48550/arXiv.2306.05845",
language = "English",
volume = "108",
journal = "Physical Review B",
issn = "2469-9950",
publisher = "American Institute of Physics",
number = "13",
}