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Multicomponent one-dimensional quantum droplets across the mean-field stability regime
by Ilias A. Englezos, Peter Schmelcher, Simeon I. Mistakidis
This is not the latest submitted version.
Submission summary
| Authors (as registered SciPost users): | Ilias Englezos |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2502.08392v2 (pdf) |
| Date submitted: | March 18, 2025, 10:33 a.m. |
| Submitted by: | Englezos, Ilias |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
The Lee-Huang-Yang (LHY) energy correction at the edge of the mean-field stability regime is known to give rise to beyond mean-field structures in a wide variety of systems. In this work, we analytically derive the LHY energy for two-, three- and four-component one-dimensional bosonic short-range interacting mixtures across the mean-field stability regime. For varying intercomponent attraction in the two-component setting, quantitative deviations from the original LHY treatment emerge being imprinted in the droplet saturation density and width. On the other hand, for repulsive interactions an unseen early onset of phase-separation occurs for both homonuclear and heteronuclear mixtures. Closed LHY expressions for the fully-symmetric three- and four-component mixtures, as well as for mixtures comprised of two identical components coupled to a third independent component are provided and found to host a plethora of mixed droplet states. Our results are expected to inspire future investigations in multicomponent systems for unveiling exotic self-bound states of matter and unravel their nonequilibrium quantum dynamics.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
Current status:
Reports on this Submission
Strengths
1- Comprehensive analysis of the effect of beyond mean-field (BMF) terms in the equilibrium 1D configurations of binary mixtures of quantum gases
2- Comparison with previous analysis, whose validity was justified only for specific values of the interspecies interaction strength but used also elsewhere
3- Analysis of little explored mixtures of three and four components
Weaknesses
Report
Requested changes
1- Page 2, in the sentence The emergence of the self-bound liquid-type configurations known as quantum droplets
in contact interacting three-dimensional (3D) bosonic mixtures'', the reference [24] should be complemented with [44], as the latter was actually published earlier.
2- Page 4, sec. 2.1: it is stated that 1D configurations with periodic boundary conditions, i.e. a 1D ring,\dots can be experimentally reached with digital micromirror devices''. This is not correct, DMD can make rings, but these are hardly 1D, as the transverse confinement is insufficient.
Also, Ref. [69] describing a disk-shaped potential seems quite not appropriate here.
3- Page 4, sec 2.1: dimensionally, $\hbar^3/(m_A g_A)$ cannot be a unit of time;
4- Page 5, below eq. 3: LaTeX, \verb|$diag$| should be typed as text, I think.
Recommendation
Publish (easily meets expectations and criteria for this Journal; among top 50%)