Three-boson bound states in two dimensions

Ren, Tianhao; Aleǐner, I. L.

doi:10.1103/physrevb.95.045401

Cited by 4 publications

(2 citation statements)

References 48 publications

(100 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…1 is at most 1%. Our result for E FBB agrees with Ren and Aleiner [74] who have calculated and established universality of this quantity in the mass-balanced case, although in a narrower window of a BB /a FB .…”

supporting

confidence: 92%

Stable p -Wave Resonant Two-Dimensional Fermi-Bose Dimers

Bazak

Петров

2018

Phys. Rev. Lett.

View full text Add to dashboard Cite

We consider two-dimensional weakly bound heterospecies molecules formed in a Fermi-Bose mixture with attractive Fermi-Bose and repulsive Bose-Bose interactions. Bosonic exchanges lead to an intermolecular attraction, which can be controlled and tuned to a p-wave resonance. Such attractive fermionic molecules can be realized in quasi-two-dimensional ultracold isotopic mixtures. We show that they are stable with respect to the recombination to deeply bound molecular states and with respect to the formation of higher-order clusters (trimers, tetramers, etc.) One of the most paradigmatic examples of a topological quantum system is the p x + ip y superfluid, realized in 3 He [1] and possibly in superconducting Sr 2 RuO 4 [2]. In spite of these observations, there is a constant search for more robust and controllable setups with a better access to the interesting topological properties of this nontrivial phase [3,4], Majorana modes, non-Abelian vortices, and, eventually, to the topologically protected quantum computing [5]. Ultracold gases make a promising platform for this search because of their purity, controllability, and successful past performance, particularly resulted in the comprehensive characterization of the crossover from the s-wave Bardeen-Cooper-Schrieffer (BCS) pairing to the Bose-Einstein condensation of molecules in two-component Fermi gases [6][7][8][9][10]. arXiv:1807.06801v2 [cond-mat.quant-gas]

show abstract

supporting

confidence: 92%

Stable p -Wave Resonant Two-Dimensional Fermi-Bose Dimers

Bazak

Петров

2018

Phys. Rev. Lett.

View full text Add to dashboard Cite

show abstract

“…Here, we find that the other The intraspecies repulsion shifts the cluster energies upwards. This effect has already been seen for the ABB trimer [45,46] and the ABBB tetramer [46]. In Fig.…”

supporting

confidence: 65%

Few-body bound states of two-dimensional bosons

Guijarro¹,

Astrakharchik²,

Boronat³

et al. 2020

Phys. Rev. A

View full text Add to dashboard Cite

We study clusters of the type AN BM with N ≤ M ≤ 3 in a two-dimensional mixture of A and B bosons, with attractive AB and equally repulsive AA and BB interactions. In order to check universal aspects of the problem, we choose two very different models: dipolar bosons in a bilayer geometry and particles interacting via separable Gaussian potentials. We find that all the considered clusters are bound and that their energies are universal functions of the scattering lengths aAB and aAA = aBB, for sufficiently large attraction-to-repulsion ratios aAB/aBB. When aAB/aBB decreases below ≈ 10, the dimer-dimer interaction changes from attractive to repulsive and the populationbalanced AABB and AAABBB clusters break into AB dimers. Calculating the AAABBB hexamer energy just below this threshold, we find an effective three-dimer repulsion which may have important implications for the many-body problem, particularly for observing liquid and supersolid states of dipolar dimers in the bilayer geometry. The population-imbalanced ABB trimer, ABBB tetramer, and AABBB pentamer remain bound beyond the dimer-dimer threshold. In the dipolar model, they break up at aAB ≈ 2aBB where the atom-dimer interaction switches to repulsion.

show abstract

Controllable fusion of electromagnetic bosons in two-dimensional semiconductors

Andreev

2024

Phys. Rev. B

View full text Add to dashboard Cite

Three-boson bound states in two dimensions

Cited by 4 publications

References 48 publications

Stable p -Wave Resonant Two-Dimensional Fermi-Bose Dimers

Stable p -Wave Resonant Two-Dimensional Fermi-Bose Dimers

Few-body bound states of two-dimensional bosons

Controllable fusion of electromagnetic bosons in two-dimensional semiconductors

Contact Info

Product

Resources

About