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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 accepted: 2023-07-20
Date submitted: 2023-07-03 06:30
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.

Published as SciPost Phys. 15, 095 (2023)

Author comments upon resubmission

We thank the editor and the referees for their time in evaluating our response and updated manuscript.
We agree with the referee's statement about the finite size effects for the periodic boundary conditions.
Following the referee's request we have added units to the figures in terms of the physical combinations making up the dimensionless unit of each reported quantity.

Furthermore, in order to ensure consistency of units between the new figures and equations, we have also reintroduced physical units to all equations and quantities in the text, starting from the model eqs. (1).
This is also fulfilling the request raised in point Nr. 8 in the referee's original report.
We hope that these changes sufficiently answer the report.

Tim Keller (on behalf of the authors)

List of changes

* added units to the figures
* reintroduced physical units to the text

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