TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.15.1.006
TI  - Exact one-particle density matrix for SU(N) fermionic matter-waves in the strong repulsive limit
PY  - 2023/07/11
UR  - https://scipost.org/SciPostPhys.15.1.006
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 15
IS  - 1
SP  - 006
A1  - Osterloh, Andreas
AU  - Polo, Juan
AU  - Chetcuti, Wayne Jordan
AU  - Amico, Luigi
AB  - We consider a gas of repulsive $N$-component fermions confined in a ring-shaped potential, subjected to an effective magnetic field. For large repulsion strengths,  we work out a Bethe ansatz scheme to compute the two-point correlation matrix and then the   one-particle density matrix.  Our results hold  in the mesoscopic regime of finite but sufficiently large number of particles and system size that are not accessible by  numerics.  We access the momentum distribution of the system and analyse its specific dependence  of  interaction, magnetic field and number of components $N$.  In the context of cold atoms, the exact computation of the correlation matrix  to determine the interference patterns that are produced by releasing cold atoms from ring traps is carried out.
ER  -

@Article{10.21468/SciPostPhys.15.1.006,
	title={{Exact one-particle density matrix for SU(N) fermionic matter-waves in the strong repulsive limit}},
	author={Andreas Osterloh and Juan Polo and Wayne J. Chetcuti and Luigi Amico},
	journal={SciPost Phys.},
	volume={15},
	pages={006},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.15.1.006},
	url={https://scipost.org/10.21468/SciPostPhys.15.1.006},
}