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Effective Theory for Strongly Attractive One-Dimensional Fermions.
Timothy G Backert1, Fabian Brauneis1, Matija Čufar2,3
1Technische Universität Darmstadt, Department of Physics, 64289 Darmstadt, Germany.
Physical Review Letters
|August 12, 2025
Summary
We simplify studies of strongly interacting two-component fermions by mapping them to a weakly interacting system. This approach uses effective interactions between fermions and bosonic dimers, enabling perturbation theory for complex systems.
Area of Science:
- Quantum physics
- Condensed matter physics
- Atomic physics
Background:
- Studying strongly interacting many-body systems is computationally challenging.
- Two-component Fermi systems exhibit complex behavior under attractive interactions.
Purpose of the Study:
- To develop a simplified theoretical framework for strongly interacting two-component Fermi systems.
- To enable the application of perturbation theory to previously intractable problems.
Main Methods:
- Analytical solution of the few-body scattering problem using Bethe ansatz.
- Engineering effective interactions between fermions and bosonic dimers.
- Mapping the strongly interacting system to a weakly interacting effective model.
Main Results:
- The few-body scattering problem is analytically solvable.
- Effective interactions between fermions and dimers are derived.
- The system can be mapped to a weakly interacting model, allowing perturbation theory.
Conclusions:
- Strongly interacting two-component Fermi systems can be effectively treated as weakly interacting systems.
- This simplification opens new avenues for studying complex Fermi gases, including impurity problems.
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