Necklace Ansatz for strongly repulsive spin mixtures on a ring

TY - JOUR

T1 - Necklace Ansatz for strongly repulsive spin mixtures on a ring

AU - Aupetit-Diallo, Gianni

AU - Pecci, Giovanni

AU - Volosniev, Artem

AU - Albert, Mathias

AU - Minguzzi, Anna

AU - Vignolo, Patrizia

PY - 2025/1

Y1 - 2025/1

N2 - 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(κ) and symmetry-breaking systems.

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(κ) and symmetry-breaking systems.

UR - http://www.scopus.com/inward/record.url?scp=85218716772&partnerID=8YFLogxK

U2 - 10.21468/SciPostPhysCore.8.1.022

DO - 10.21468/SciPostPhysCore.8.1.022

M3 - Journal article

AN - SCOPUS:85218716772

SN - 2666-9366

VL - 8

JO - SciPost Physics Core

JF - SciPost Physics Core

IS - 1

M1 - 022

ER -