Exact one-particle density matrix for SU($N$) fermionic matter-waves in the strong repulsive limit

Abstract

We consider a gas of repulsive $N$-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 $N$. 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.

arXiv comment15 revtex pages, 6 figures

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Cited by in corpus (4)

• Perspective on new implementations of atomtronic circuits
• Persistent currents in ultracold gases
• Static impurity in a mesoscopic system of SU($N$) fermionic matter-waves
• Numerical methods and analytic results for one-dimensional strongly interacting spinor gases