Exact one-particle density matrix for SU() fermionic matter-waves in the strong repulsive limit
arXiv:2211.13553 · doi:10.21468/SciPostPhys.15.1.006
Abstract
We consider a gas of repulsive -component fermions confined in a ring-shaped potential, subject 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 holds 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 . 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.
15 revtex pages, 6 figures
References in corpus (12)
- Quantum Hall Ferromagnetism in Graphene
- A one-dimensional liquid of fermions with tunable spin
- Observation of two-orbital spin-exchange interactions with ultracold SU(N)-symmetric fermions
- Ultracold Fermi Gases with Emergent SU(N) Symmetry
- Synthetic dimensions and spin-orbit coupling with an optical clock transition
- Spin-orbit coupled fermions in an optical lattice clock
- Color Superfluidity and "Baryon" Formation in Ultracold Fermions
- Direct observation of coherent inter-orbital spin-exchange dynamics
- Imprinting persistent currents in tunable fermionic rings
- Spin--orbital interaction for face-sharing octahedra: Realization of a highly symmetric SU(4) model
- High-momentum tails as magnetic structure probes for strongly-correlated fermionic mixtures in one-dimensional traps
- Probe for bound states of SU(3) fermions and colour deconfinement