Reference : Mechanical Resonances of Mobile Impurities in a One-Dimensional Quantum Fluid
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
Physics and Materials Science
Mechanical Resonances of Mobile Impurities in a One-Dimensional Quantum Fluid
Schmidt, Thomas mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit >]
Dolcetto, Giacomo []
Pedder, Christopher []
Le Hur, Karyn []
Orth, Peter []
Physical Review Letters
American Physical Society
Yes (verified by ORBilu)
New York
[en] We study a one-dimensional interacting quantum liquid hosting a pair of mobile impurities causing backscattering. We determine the effective retarded interaction between the two impurities mediated by the liquid. We show that for strong backscattering this interaction gives rise to resonances and antiresonances in the finite-frequency mobility of the impurity pair. At the antiresonances, the two impurities remain at rest even when driven by a (small) external force. At the resonances, their synchronous motion follows the external drive in phase and reaches maximum amplitude. Using a perturbative renormalization group analysis in quantum tunneling across the impurities, we study the range of validity of our model. We predict that these mechanical antiresonances are observable in experiments on ultracold atom gases confined to one dimension.

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