The mixing-demixing phase diagram of ultracold heteronuclear mixtures in a ring trimer

authored by: Andrea Richaud, Alessandro Zenesini, Vittorio Penna
Abstract: We derive the complete mixing-demixing phase-diagram relevant to a bosonic binary mixture confined in a ring trimer and modeled within the Bose-Hubbard picture. The mixing properties of the two quantum fluids, which are shown to be strongly affected by the fragmented character of the confining potential, are evaluated by means of a specific indicator imported from Statistical Thermodynamics and are shown to depend only on two effective parameters incorporating the asymmetry between the heteronuclear species. To closely match realistic experimental conditions, our study is extended also beyond the pointlike approximation of potential wells by describing the systems in terms of two coupled Gross-Pitaevskii equations. The resulting mean-field analysis confirms the rich scenario of mixing-demixing transitions of the mixture and also constitutes an effective springboard towards a viable experimental realization. We additionally propose an experimental realization based on a realistic optical-tweezers system and on the bosonic mixture ²³ Na + ³⁹ K, thanks to the large tunability of their intra- and inter-species scattering lengths.
Organisation(s): Institute of Quantum Optics
CRC 1227 Designed Quantum States of Matter (DQ-mat)
External Organisation(s): Politecnico di Torino (POLITO)
Type: Article
Journal: Scientific reports
Volume: 9
ISSN: 2045-2322
Publication date: 06.05.2019
Publication status: E-pub ahead of print
Peer reviewed: Yes
ASJC Scopus subject areas: General
Electronic version(s): https://doi.org/10.1038/s41598-019-43365-6 (Access: Open)
https://doi.org/10.15488/10482 (Access: Open)

BibTeX

@article{50b04d0d19944a1e978cd2d58088caaa,
title = "The mixing-demixing phase diagram of ultracold heteronuclear mixtures in a ring trimer",
abstract = " We derive the complete mixing-demixing phase-diagram relevant to a bosonic binary mixture confined in a ring trimer and modeled within the Bose-Hubbard picture. The mixing properties of the two quantum fluids, which are shown to be strongly affected by the fragmented character of the confining potential, are evaluated by means of a specific indicator imported from Statistical Thermodynamics and are shown to depend only on two effective parameters incorporating the asymmetry between the heteronuclear species. To closely match realistic experimental conditions, our study is extended also beyond the pointlike approximation of potential wells by describing the systems in terms of two coupled Gross-Pitaevskii equations. The resulting mean-field analysis confirms the rich scenario of mixing-demixing transitions of the mixture and also constitutes an effective springboard towards a viable experimental realization. We additionally propose an experimental realization based on a realistic optical-tweezers system and on the bosonic mixture 23 Na + 39 K, thanks to the large tunability of their intra- and inter-species scattering lengths. ",
author = "Andrea Richaud and Alessandro Zenesini and Vittorio Penna",
note = "Funding information: A.R. and V.P. wish to thank Magnus {\"O}gren and Edoardo Paganoni for their valuable help in the numerical methods. A.R. and A.Z wish to thank Luis Santos and Silke Ospelkaus for fruitful discussions. A.Z. gratefully acknowledges financial support from the European Research Council through ERC Starting Grant POLAR and from the Deutsche Forschungsgemeinschaft (DFG) through CRC 1227 (DQ-mat), project A03 and FOR2247, project E5.",
year = "2019",
month = may,
day = "6",
doi = "10.1038/s41598-019-43365-6",
language = "English",
volume = "9",
journal = "Scientific reports",
issn = "2045-2322",
publisher = "Nature Publishing Group",
number = "1",
}