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Fermionization of a Few-Body Bose System Immersed into a Bose-Einstein Condensate

by Tim Keller, Thomás Fogarty, Thomas Busch

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Submission summary

Authors (as registered SciPost users): Thomas Fogarty · Tim Keller
Submission information
Preprint Link:  (pdf)
Date submitted: 2023-06-01 10:31
Submitted by: Keller, Tim
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Atomic, Molecular and Optical Physics - Theory
  • Quantum Physics
Approaches: Theoretical, Computational


We study the recently introduced self-pinning transition [Phys. Rev. Lett. 128, 053401 (2022)] in a quasi-one-dimensional two-component quantum gas in the case where the component immersed into the Bose-Einstein condensate has a finite intraspecies interaction strength. As a result of the matter-wave backaction, the fermionization in the limit of infinite intraspecies repulsion occurs via a first-order phase transition to the self-pinned state, which is in contrast to the asymptotic behavior in static trapping potentials. The system also exhibits an additional superfluid state for the immersed component if the interspecies interaction is able to overcome the intraspecies repulsion. We approximate the superfluid state in an analytical model and derive an expression for the phase transition line that coincides with well-known phase separation criteria in binary Bose systems. The full phase diagram of the system is mapped out numerically for the case of two and three atoms in the immersed component.

Current status:
Has been resubmitted

Author comments upon resubmission

We thank the editor and the referees for their time in evaluating our response and updated manuscript and are happy to see that they agree with many of the points in our reply.
As stated in the latest reply to the referee report, we have again revised the manuscript to address the remaining points raised by the referee.
We hope that these changes together with our responses to the report adequately answer the remaining questions.

Tim Keller (on behalf of the authors)

List of changes

- rephrased the introduction of the units in the model section
- added comment about the condensate fraction to the definition of the coherence
- added sentence about the possibility of using periodic boundary conditions to the conclusion

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