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Title: Breaking of Huygens-Fresnel principle in inhomogeneous Tomonaga-Luttinger liquids
Authors: Gluza, Marek
Moosavi, Per
Sotiriadis, Spyros
Keywords: Science::Physics
Issue Date: 2022
Source: Gluza, M., Moosavi, P. & Sotiriadis, S. (2022). Breaking of Huygens-Fresnel principle in inhomogeneous Tomonaga-Luttinger liquids. Journal of Physics A: Mathematical and Theoretical, 55(5), 054002-.
Journal: Journal of Physics A: Mathematical and Theoretical
Abstract: Tomonaga-Luttinger liquids (TLLs) can be used to effectively describe one-dimensional quantum many-body systems such as ultracold atoms, charges in nanowires, superconducting circuits, and gapless spin chains. Their properties are given by two parameters, the propagation velocity and the Luttinger parameter. Here we study inhomogeneous TLLs where these are promoted to functions of position and demonstrate that they profoundly affect the dynamics: in general, besides curving the light cone, we show that propagation is no longer ballistically localized to the light-cone trajectories, different from standard homogeneous TLLs. Specifically, if the Luttinger parameter depends on position, the dynamics features pronounced spreading into the light cone, which cannot be understood via a simple superposition of waves as in the Huygens-Fresnel principle. This is the case for ultracold atoms in a parabolic trap, which serves as our main motivation, and we discuss possible experimental observations in such systems.
ISSN: 1751-8113
DOI: 10.1088/1751-8121/ac39cc
Schools: School of Physical and Mathematical Sciences 
Rights: © 2022 The Author(s). Published by IOP Publishing Ltd. Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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