Universal Dimerized Quantum Droplets in a One-Dimensional Lattice

Ivan Morera, Grigori E. Astrakharchik, Artur Polls, and Bruno Juliá-Díaz
Phys. Rev. Lett. 126, 023001 – Published 11 January 2021
PDFHTMLExport Citation

Abstract

The ground-state properties of two-component bosonic mixtures in a one-dimensional optical lattice are studied both from few- and many-body perspectives. We rely directly on a microscopic Hamiltonian with attractive intercomponent and repulsive intracomponent interactions to demonstrate the formation of a quantum liquid. We reveal that its formation and stability can be interpreted in terms of finite-range interactions between dimers. We derive an effective model of composite bosons (dimers) which correctly captures both the few- and many-body properties and validate it against exact results obtained by the density matrix renormalization group method for the full Hamiltonian. The threshold for the formation of the liquid coincides with the appearance of a bound state in the dimer-dimer problem and possesses a universality in terms of the two-body parameters of the dimer-dimer interaction, namely, scattering length and effective range. For sufficiently strong effective dimer-dimer repulsion we observe fermionization of the dimers which form an effective Tonks-Girardeau state and identify conditions for the formation of a solitonic solution. Our predictions are relevant to experiments with dipolar atoms and two-component mixtures.

  • Figure
  • Figure
  • Figure
  • Received 12 July 2020
  • Accepted 14 December 2020

DOI:https://doi.org/10.1103/PhysRevLett.126.023001

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Ivan Morera1,2, Grigori E. Astrakharchik3, Artur Polls1,2, and Bruno Juliá-Díaz1,2

  • 1Departament de Física Quàntica i Astrofísica, Facultat de Física, Universitat de Barcelona, E–08028 Barcelona, Spain
  • 2Institut de Ciències del Cosmos, Universitat de Barcelona, ICCUB, Martí i Franquès 1, Barcelona 08028, Spain
  • 3Departament de Física, Universitat Politècnica de Catalunya, Campus Nord B4-B5, E-08034 Barcelona, Spain

Article Text (Subscription Required)

Click to Expand

Supplemental Material (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 126, Iss. 2 — 15 January 2021

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×