Bethe Ansatz for Bose-Fermi Mixture
Published:Dec 25, 2025 16:31
•1 min read
•ArXiv
Analysis
This paper provides an exact Bethe-ansatz solution for a one-dimensional mixture of bosons and spinless fermions with contact interactions. It's significant because it offers analytical results, including the Drude weight matrix and excitation velocities, which are crucial for understanding the system's low-energy behavior. The study's findings support the presence of momentum-momentum coupling, offering insights into the interaction between the two subsystems. The developed method's potential for application to other nested Bethe-ansatz models enhances its impact.
Key Takeaways
- •Provides an exact Bethe-ansatz solution for a 1D Bose-Fermi mixture.
- •Derives analytical results including Drude weight matrix and excitation velocities.
- •Supports the presence of momentum-momentum coupling between bosons and fermions.
- •The method can be extended to other nested Bethe-ansatz models.
Reference
“The excitation velocities can be calculated from the knowledge of the matrices of compressibility and the Drude weights, as their squares are the eigenvalues of the product of the two matrices.”