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Exact one-particle density matrix for SU(N ) fermionic matter-waves in the strong repulsive limit
by Andreas Osterloh, Juan Polo, Wayne J. Chetcuti and Luigi Amico
This Submission thread is now published as
|Authors (as registered SciPost users):||Wayne Jordan Chetcuti · Juan Polo|
|Preprint Link:||scipost_202301_00020v2 (pdf)|
|Date submitted:||2023-03-15 08:58|
|Submitted by:||Chetcuti, Wayne Jordan|
|Submitted to:||SciPost Physics Core|
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.
Published as SciPost Phys. 15, 006 (2023)
Author comments upon resubmission
Submission & Refereeing History
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Reports on this Submission
1) studies cocerning SU(N) fermionic systems are of great interest form a theoretical and experimental point of view.
2) The limit of large repulsion strengths is difficult to be treated numerically
1) The method presented here is not new
The authors have answered to all my criticisms and suggestions. I support the publication of this manuscript in SciPost.
I have no further requests
The authors presented a method on the study of the one-particle correlation function in the SU(N) sermonic Hubbard model. This is a challenge problem in theory. Although the results look unlike what I expected, the quality of the submission is still fine and reach the bottom line of the Scipost standards.
Their method is general and model dependent.
I would like to recommend this submission to publish in SciPost.
No more change is requested.
In the revised version of the manuscript, the authors correctly implemented the points mentioned in my previous report (in particular Appendix D where they discuss the comparison with other numerical methods).
Therefore, I recommend the publication in SciPost Physics Core.