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A systematic interpolatory method for an impurity in a one-dimensional fermionic background

by E. J. Lindgren, R. E. Barfknecht, N. T. Zinner

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Submission summary

Authors (as registered SciPost users): Erik Jonathan Lindgren
Submission information
Preprint Link: scipost_201908_00010v2  (pdf)
Date accepted: 2020-06-12
Date submitted: 2020-04-18 02:00
Submitted by: Lindgren, Erik Jonathan
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Atomic, Molecular and Optical Physics - Theory
  • Quantum Physics
Approaches: Theoretical, Computational


We explore a new numerical method for studying one-dimensional quantum systems in a trapping potential. We focus on the setup of an impurity in a fermionic background, where a single distinguishable particle interacts through a contact potential with a number of identical fermions. We can accurately describe this system, for various particle numbers, different trapping potentials and arbitrary finite repulsion, by constructing a truncated basis containing states at both zero and infinite repulsion. The results are compared with matrix product states methods and with the analytical result for two particles in a harmonic well.

Author comments upon resubmission

Resubmission with changes recommended by referee

List of changes

1.Title and abstract changed slightly
2.Added results for eleven particles, including new figure
3.Added more references
4.Added units to figures
5.Added comments on attractive interactions in conclusions
6.Improved notation in section 3.5
7.Added more comments in beginning of section 5
8.Figure 5 has been improved, which previously had problems for large number of basis states
9.Comment added in end of Section 3.4

Published as SciPost Phys. 9, 005 (2020)

Reports on this Submission

Anonymous Report 1 on 2020-5-2 (Invited Report)


The authors have addressed my earlier comments and the revised presentation is much clearer. I recommend publication.

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