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Published on: March 30, 2017
A smooth polaron-molecule crossover in a Fermi system.
1Department of Mathematics, Imperial College London, London SW7 2BZ, UK.
A single down-spin particle interacting with cold atoms shows a smooth crossover from polaron to molecule behavior as interaction strength increases. This challenges claims of a sharp transition in Fermi sea interactions.
Area of Science:
- Atomic, Molecular, and Optical Physics
- Condensed Matter Physics
Background:
- Investigates the interaction between a single down-spin particle and a Fermi sea of up-spin particles, a key problem in cold atom physics.
- Considers the Hubbard model for atoms in optical lattices and a parallel gas model.
Purpose of the Study:
- To analyze the crossover behavior from polaron to molecule states as attractive interaction strength increases.
- To clarify the nature of the transition between these two behaviors.
Main Methods:
- Utilizes the Hubbard model and a gas model framework.
- Examines the effects of varying attractive short-range interaction strengths.
Main Results:
- Demonstrates a smooth crossover from polaron behavior (weak Fermi sea perturbation) to molecule behavior (bound state).
- Provides evidence that this crossover is continuous, not a sharp transition.
Conclusions:
- The transition from polaron to molecule states in this system is a smooth crossover.
- Contradicts previous claims of a sharp, discontinuous transition in the literature.
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