Speaker
Description
Understanding strongly-interacting quantum systems remains one of the main challenges in modern physics. While numerical methods have driven much of the progress in this field, simple and intuitive physical interpretations are often elusive. In this context, analytical solutions -- even for toy models -- provide invaluable insights.
In this work, we study strongly attractive spin-1/2 fermions in one spatial dimension. We begin by solving the few-body problem using the Bethe ansatz, which allows us to derive an effective Hamiltonian that captures the essential physics of the corresponding many-body system. We then map this Hamiltonian onto a weakly interacting model, making it accessible to straightforward analytical techniques. This mapping serves as a powerful tool for analyzing confined systems, which are typically intractable using standard numerical or analytical approaches.
As a demonstration, we apply this framework to the Fermi-polaron problem -- a single impurity atom immersed in a spin-polarized Fermi gas.
| Theoretical or experimental | Theoretical |
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