Quantum nanofriction in trapped ion chains with a topological defect

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autorschaft

  • L. Timm
  • L. A. Rüffert
  • H. Weimer
  • L. Santos
  • T. E. Mehlstäubler
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Aufsatznummer043141
FachzeitschriftPhysical Review Research
Jahrgang3
Ausgabenummer4
PublikationsstatusVeröffentlicht - 29 Nov. 2021

Abstract

Trapped ion systems constitute a well controllable scenario for the study and emulation of nanofriction, and in particular of Frenkel-Kontorova-like models. This is in particular the case when a topological defect is created in a zigzag ion Coulomb crystal, which results in an Aubry transition from free sliding to pinned phase as a function of the trap aspect ratio. We explore the quantum effects of the Aubry transition by means of an effective simplified model, in which the defect is treated like a single quantum particle that experiences an effective Peierls-Nabarro potential and a position-dependent mass. We demonstrate the relevance of quantum tunneling in a finite range of aspect ratios close the critical point, showing that the quantum effects may be observed in the kink dynamics for sufficiently low temperatures. Finally, we discuss the requirements to reveal quantum effects at the Aubry transition in future experiments on trapped ions.

ASJC Scopus Sachgebiete

Zitieren

Quantum nanofriction in trapped ion chains with a topological defect. / Timm, L.; Rüffert, L. A.; Weimer, H. et al.
in: Physical Review Research, Jahrgang 3, Nr. 4, 043141 , 29.11.2021.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Timm, L, Rüffert, LA, Weimer, H, Santos, L & Mehlstäubler, TE 2021, 'Quantum nanofriction in trapped ion chains with a topological defect', Physical Review Research, Jg. 3, Nr. 4, 043141 . https://doi.org/10.48550/arXiv.2108.07635, https://doi.org/10.1103/PhysRevResearch.3.043141
Timm, L., Rüffert, L. A., Weimer, H., Santos, L., & Mehlstäubler, T. E. (2021). Quantum nanofriction in trapped ion chains with a topological defect. Physical Review Research, 3(4), Artikel 043141 . https://doi.org/10.48550/arXiv.2108.07635, https://doi.org/10.1103/PhysRevResearch.3.043141
Timm L, Rüffert LA, Weimer H, Santos L, Mehlstäubler TE. Quantum nanofriction in trapped ion chains with a topological defect. Physical Review Research. 2021 Nov 29;3(4):043141 . doi: 10.48550/arXiv.2108.07635, 10.1103/PhysRevResearch.3.043141
Timm, L. ; Rüffert, L. A. ; Weimer, H. et al. / Quantum nanofriction in trapped ion chains with a topological defect. in: Physical Review Research. 2021 ; Jahrgang 3, Nr. 4.
Download
@article{47f5d6fe5f1549438e86d9d513b3ef10,
title = "Quantum nanofriction in trapped ion chains with a topological defect",
abstract = "Trapped ion systems constitute a well controllable scenario for the study and emulation of nanofriction, and in particular of Frenkel-Kontorova-like models. This is in particular the case when a topological defect is created in a zigzag ion Coulomb crystal, which results in an Aubry transition from free sliding to pinned phase as a function of the trap aspect ratio. We explore the quantum effects of the Aubry transition by means of an effective simplified model, in which the defect is treated like a single quantum particle that experiences an effective Peierls-Nabarro potential and a position-dependent mass. We demonstrate the relevance of quantum tunneling in a finite range of aspect ratios close the critical point, showing that the quantum effects may be observed in the kink dynamics for sufficiently low temperatures. Finally, we discuss the requirements to reveal quantum effects at the Aubry transition in future experiments on trapped ions.",
keywords = "cond-mat.quant-gas, physics.atom-ph, quant-ph",
author = "L. Timm and R{\"u}ffert, {L. A.} and H. Weimer and L. Santos and Mehlst{\"a}ubler, {T. E.}",
note = "Funding Information: We thank Jan Kiethe for fruitful discussions. This project has been funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy - EXC-2123 QuantumFrontiers–390837967 and through CRC 1227 (DQ-mat), project A07. This project 17FUN07 CC4C has received funding from the EMPIR programme cofinanced by the Participating States and from the European Union's Horizon 2020 research and innovation programme.",
year = "2021",
month = nov,
day = "29",
doi = "10.48550/arXiv.2108.07635",
language = "English",
volume = "3",
number = "4",

}

Download

TY - JOUR

T1 - Quantum nanofriction in trapped ion chains with a topological defect

AU - Timm, L.

AU - Rüffert, L. A.

AU - Weimer, H.

AU - Santos, L.

AU - Mehlstäubler, T. E.

N1 - Funding Information: We thank Jan Kiethe for fruitful discussions. This project has been funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy - EXC-2123 QuantumFrontiers–390837967 and through CRC 1227 (DQ-mat), project A07. This project 17FUN07 CC4C has received funding from the EMPIR programme cofinanced by the Participating States and from the European Union's Horizon 2020 research and innovation programme.

PY - 2021/11/29

Y1 - 2021/11/29

N2 - Trapped ion systems constitute a well controllable scenario for the study and emulation of nanofriction, and in particular of Frenkel-Kontorova-like models. This is in particular the case when a topological defect is created in a zigzag ion Coulomb crystal, which results in an Aubry transition from free sliding to pinned phase as a function of the trap aspect ratio. We explore the quantum effects of the Aubry transition by means of an effective simplified model, in which the defect is treated like a single quantum particle that experiences an effective Peierls-Nabarro potential and a position-dependent mass. We demonstrate the relevance of quantum tunneling in a finite range of aspect ratios close the critical point, showing that the quantum effects may be observed in the kink dynamics for sufficiently low temperatures. Finally, we discuss the requirements to reveal quantum effects at the Aubry transition in future experiments on trapped ions.

AB - Trapped ion systems constitute a well controllable scenario for the study and emulation of nanofriction, and in particular of Frenkel-Kontorova-like models. This is in particular the case when a topological defect is created in a zigzag ion Coulomb crystal, which results in an Aubry transition from free sliding to pinned phase as a function of the trap aspect ratio. We explore the quantum effects of the Aubry transition by means of an effective simplified model, in which the defect is treated like a single quantum particle that experiences an effective Peierls-Nabarro potential and a position-dependent mass. We demonstrate the relevance of quantum tunneling in a finite range of aspect ratios close the critical point, showing that the quantum effects may be observed in the kink dynamics for sufficiently low temperatures. Finally, we discuss the requirements to reveal quantum effects at the Aubry transition in future experiments on trapped ions.

KW - cond-mat.quant-gas

KW - physics.atom-ph

KW - quant-ph

UR - http://www.scopus.com/inward/record.url?scp=85120623453&partnerID=8YFLogxK

U2 - 10.48550/arXiv.2108.07635

DO - 10.48550/arXiv.2108.07635

M3 - Article

VL - 3

JO - Physical Review Research

JF - Physical Review Research

SN - 2643-1564

IS - 4

M1 - 043141

ER -