SciPost Submission Page
Quantum droplets with particle imbalance in one-dimensional optical lattices
by Jofre Vallès-Muns, Ivan Morera, Grigori E. Astrakharchik, Bruno Juliá-Díaz
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Jofre Vallès-Muns |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2306.12283v2 (pdf) |
| Date accepted: | 2024-03-06 |
| Date submitted: | 2024-01-10 09:17 |
| Submitted by: | Vallès-Muns, Jofre |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
We study the formation of particle-imbalanced quantum droplets in a one-dimensional optical lattice containing a binary bosonic mixture at zero temperature. To understand the effects of the imbalance from both the few- and many-body perspectives, we employ density matrix renormalization group (DMRG) simulations and perform the extrapolation to the thermodynamic limit. In contrast to the particle-balanced case, not all bosons are paired, resulting in an interplay between bound states and individual atoms that leads to intriguing phenomena. Quantum droplets manage to sustain a small particle imbalance, resulting in an effective magnetization. However, as the imbalance is further increased, a critical point is eventually crossed, and the droplets start to expel the excess particles while the magnetization in the bulk remains constant. Remarkably, the unpaired particles on top of the quantum droplet effectively form a super Tonks-Girardeau (hard-rod) gas. The expulsion point coincides with the critical density at which the size of the super Tonks-Girardeau gas matches the size of the droplet.
Author comments upon resubmission
List of changes
- As Report 1 suggested, we adopt the term "pseudo-spin" to refer to the degree of freedom in our bosonic mixture.
- As Report 1 mentioned, we fix a typo in Eq. (2).
- As Report 1 suggested, we change the variable name of the typical length scale of the meniscus to "s" instead of "a", since "a" is already used in Eq. (8) for another variable.
- As Report 2 suggested, we remove the previous Fig. 12 since we have not properly checked if the chooses boson cutoff is still valid in the situation of large bond dimension.
- As Report 2 suggested, we added a new subsection (4.2) that studies our results with different interaction strengths (U/t).
- As Report 2 suggested, we added a new section in the appendix (A.1) that explains our procedure to chose a initial state for the DMRG computations.
Published as SciPost Phys. 16, 074 (2024)
Reports on this Submission
Report #1 by Anonymous (Referee 1) on 2024-1-24 (Invited Report)
- Cite as: Anonymous, Report on arXiv:2306.12283v2, delivered 2024-01-24, doi: 10.21468/SciPost.Report.8451
Strengths
Clear and interesting findings .
Well-written manuscript.
Detailed discussion of DMRG calculations and their convergence.
Report
The authors have clarified the issues about the presentation and discussion
of their results that were raised in the first round of reports. The manuscript
is well written and organized. The numerical results seem to be correct
and the discussion is now clear. The problem studied by the authors is of
current interest and their work certainly contributes to increasing our
theoretical knowledge of imbalanced bosonic mixtures in optical lattices.
Therefore I recommend publication.