Regensburg 2019 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 69: Cold Atomic Gases and Superfluids

TT 69.2: Vortrag

Freitag, 5. April 2019, 09:45–10:00, H23

Mechanical resonances of mobile impurities in a one-dimensional quantum fluid — •Thomas Schmidt¹, Karyn Le Hur², and Peter Orth³ — ¹Physics and Materials Science Research Unit, University of Luxembourg, L-1511 Luxembourg — ²Centre de Physique Theorique, Ecole Polytechnique, CNRS, Universite Paris-Saclay, F-91128 Palaiseau, France — ³Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA

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.