TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.8.1.022
TI  - Necklace Ansatz for strongly repulsive spin mixtures on a ring
PY  - 2025/02/14
UR  - https://www.scipost.org/SciPostPhysCore.8.1.022
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 8
IS  - 1
SP  - 022
A1  - Aupetit-Diallo, Gianni
AU  - Pecci, Giovanni
AU  - Volosniev, Artem G.
AU  - Albert, Mathias
AU  - Minguzzi, Anna
AU  - Vignolo, Patrizia
AB  - 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 $SU(\kappa)$ and symmetry-breaking systems.
ER  -

@Article{10.21468/SciPostPhysCore.8.1.022,
	title={{Necklace Ansatz for strongly repulsive spin mixtures on a ring}},
	author={Gianni Aupetit-Diallo and Giovanni Pecci and Artem Volosniev and Mathias Albert and Anna Minguzzi and Patrizia Vignolo},
	journal={SciPost Phys. Core},
	volume={8},
	pages={022},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.8.1.022},
	url={https://scipost.org/10.21468/SciPostPhysCore.8.1.022},
}