Spatiotemporal spread of fermi-edge singularity as time delayed interaction and impact on time-dependent RKKY type coupling
Abstract
Fermi-edge singularity and Anderson's orthogonality catastrophe are paradigmatic examples of non-equilibrium many-body physics in conductors, appearing after a quench is created by the sudden change of a localised potential. We investigate if the signal carried by the quench can be used to transmit a long ranged interaction, reminiscent of the RKKY interaction, but with the inclusion of the full many-body propagation over space and time. We calculate the response of a conductor to two quenches induced by localised states at different times and locations. We show that building up and maintaining coherence between the localised states is possible only with finely tuned interaction between the localised states and the conductor. This puts bounds to the use of time controlled RKKY type interactions and may limit the speed at which some quantum gates could operate.
Citation
Jackson , C & Braunecker , B 2022 , ' Spatiotemporal spread of fermi-edge singularity as time delayed interaction and impact on time-dependent RKKY type coupling ' , Physical Review Research , vol. 4 , no. 1 , 013119 . https://doi.org/10.1103/PhysRevResearch.4.013119
Publication
Physical Review Research
Status
Peer reviewed
ISSN
2643-1564Type
Journal article
Rights
Copyright © 2022 the Author(s). Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
Description
Funding: C.J. acknowledges the support from the EPSRC under Grant No. EP/L015110/1.Collections
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