Mechanical Resonances of Mobile Impurities in a One-Dimensional Quantum Fluid
Abstract
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. Here, 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.
- Authors:
-
- Univ. of Luxembourg (Luxembourg)
- Inst. Polytechnique de Paris, Palaiseau (France)
- Ames Lab. and Iowa State Univ., Ames, IA (United States)
- Publication Date:
- Research Org.:
- Ames Lab., Ames, IA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1560363
- Report Number(s):
- IS-J-10016
Journal ID: ISSN 0031-9007; PRLTAO; TRN: US2000466
- Grant/Contract Number:
- AC02-07CH11358
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 123; Journal Issue: 7; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE
Citation Formats
Schmidt, Thomas L., Dolcetto, Giacomo, Pedder, Christopher J., Le Hur, Karyn, and Orth, Peter P. Mechanical Resonances of Mobile Impurities in a One-Dimensional Quantum Fluid. United States: N. p., 2019.
Web. doi:10.1103/PhysRevLett.123.075302.
Schmidt, Thomas L., Dolcetto, Giacomo, Pedder, Christopher J., Le Hur, Karyn, & Orth, Peter P. Mechanical Resonances of Mobile Impurities in a One-Dimensional Quantum Fluid. United States. doi:10.1103/PhysRevLett.123.075302.
Schmidt, Thomas L., Dolcetto, Giacomo, Pedder, Christopher J., Le Hur, Karyn, and Orth, Peter P. Tue .
"Mechanical Resonances of Mobile Impurities in a One-Dimensional Quantum Fluid". United States. doi:10.1103/PhysRevLett.123.075302. https://www.osti.gov/servlets/purl/1560363.
@article{osti_1560363,
title = {Mechanical Resonances of Mobile Impurities in a One-Dimensional Quantum Fluid},
author = {Schmidt, Thomas L. and Dolcetto, Giacomo and Pedder, Christopher J. and Le Hur, Karyn and Orth, Peter P.},
abstractNote = {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. Here, 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.},
doi = {10.1103/PhysRevLett.123.075302},
journal = {Physical Review Letters},
number = 7,
volume = 123,
place = {United States},
year = {2019},
month = {8}
}
Web of Science
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Works referencing / citing this record:
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