Dynamics of quantum discommensurations in the Frenkel-Kontorova chain
- URL: http://arxiv.org/abs/2401.12614v1
- Date: Tue, 23 Jan 2024 10:12:45 GMT
- Title: Dynamics of quantum discommensurations in the Frenkel-Kontorova chain
- Authors: Oksana Chelpanova, Shane P. Kelly, Ferdinand Schmidt-Kaler, Giovanna
Morigi and Jamir Marino
- Abstract summary: We study how imperfections present in concrete implementations of the Frenkel-Kontorova model affect the properties of topological defects.
We analyze the propagation and scattering of solitons, examining the role of quantum fluctuations and imperfections in influencing these processes.
- Score: 30.733286944793527
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The ability for real-time control of topological defects can open up
prospects for dynamical manipulation of macroscopic properties of solids. A
sub-category of these defects, formed by particle dislocations, can be
effectively described using the Frenkel-Kontorova chain, which characterizes
the dynamics of these particles in a periodic lattice potential. This model is
known to host solitons, which are the topological defects of the system and are
linked to structural transitions in the chain. This work addresses three key
questions: Firstly, we investigate how imperfections present in concrete
implementations of the model affect the properties of topological defects.
Secondly, we explore how solitons can be injected after the rapid change in
lattice potential or nucleated due to quantum fluctuations. Finally, we analyze
the propagation and scattering of solitons, examining the role of quantum
fluctuations and imperfections in influencing these processes. Furthermore, we
address the experimental implementation of the Frenkel-Kontorova model.
Focusing on the trapped ion quantum simulator, we set the stage for
controllable dynamics of topological excitations and their observation in this
platform.
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