Density-dependent hopping for ultracold atoms immersed in a Bose-Einstein-condensate vortex lattice

Year: 2018

Authors: Chaviguri RH., Comparin T., Di Liberto M., Caracanhas MA.

Autors Affiliation: Univ Sao Paulo, Inst Fis Sao Carlos, CP 369, BR-13560970 Sao Carlos, SP, Brazil; Univ Trento, CNR BEC Ctr, INO, I-38123 Povo, Italy; Univ Trento, Dipartimento Fis, I-38123 Povo, Italy; Univ Libre Bruxelles, Ctr Nonlinear Phenomena & Complex Syst, CP 231,Campus Plaine, B-1050 Brussels, Belgium.

Abstract: Both mixtures of atomic Bose-Einstein condensates and systems with atoms trapped in optical lattices have been intensely explored theoretically, mainly due to the exceptional developments on the experimental side. We investigate the properties of ultracold atomic impurities (bosons) immersed in a vortex lattice of a second Bose-condensed species. In contrast to the static optical-lattice configuration, the vortex lattice presents intrinsic dynamics given by its Tkachenko modes. These excitations induce additional correlations between the impurities, which consist of a long-range attractive potential and a density-dependent hopping, described here in the framework of an extended Bose-Hubbard model. We compute the quantum phase diagram of the impurity species through a Gutzwiller ansatz and through the mean-field approach, and separately identify the effects of the two additional terms, i.e., the shift and the deformation of the Mott-insulator lobes. The long-range attraction, in particular, induces the existence of a triple point in the phase diagram, in agreement with previous quantum Monte Carlo calculations [Chaviguri et al., Phys. Rev. A 95, 053639 (2017)].

Journal/Review: PHYSICAL REVIEW A

Volume: 97 (2)      Pages from: 23614-1  to: 23614-11

More Information: We acknowledge Chiara Menotti and Elia Macaluso for useful discussions. This work is supported by CAPES/PROEX, FAPESP/CEPID, the EU-FET Proactive grant AQuS, Project No. 640800, ERC Starting Grant TopoCold, and by Provincia Autonoma di Trento.
KeyWords: Optical Lattices; Model; Superfluid; Gases; Transition; Insulator; Bosons
DOI: 10.1103/PhysRevA.97.023614

Citations: 3
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