Journal
PHYSICAL REVIEW LETTERS
Volume 123, Issue 7, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.123.075302
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Funding
- Fonds National de la Recherche Luxembourg [7556175]
- Iowa State University
- Deutsche Forschungsgemeinschaft [DFG FOR2414]
- LABEX PALM Grant [ANR-10-LABX-0039]
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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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