Year: 2025
Type: article
Abstract: We propose an alternative to the Bethe Ansatz method for repulsive strongly-interacting fermionic (or bosonic) mixtures on a ring. Starting from the knowledge of the solution for single-component non-interacting fermions (or strongly-interacting bosons), we explicitly impose periodic condition on the amplitudes of the spin configurations. This reduces drastically the number of independent complex amplitudes that we determine by constrained diagonalization of an effective Hamiltonian. This procedure allows us to obtain a complete basis for the exact low-energy many-body solutions for mixtures with a large number of particles, both for SU(\kappa) S U ( κ ) and symmetry-breaking systems.
Source: SciPost Physics Core
Institutions: Scuola Internazionale Superiore di Studi Avanzati, Aarhus University, Centre National de la Recherche Scientifique, Institut Universitaire de France, Université Côte d'Azur, Institut de Physique de Nice, Laboratoire de Physique et Modélisation des Milieux Condensés, Université Grenoble Alpes
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4406074022