Abstract
Few-Body Correlations Emerging In Two-Dimensional Harmonically Trapped Mixtures, Are Comprehensively Investigated. The Presence Of The Trap Leads To The Formation Of Atom-Dimer And Trap States, In Addition To Trimers. The Tan's Contacts Of These Eigenstates Are Studied For Varying Interspecies Scattering Lengths And Mass Ratio, While Corresponding Analytical Insights Are Provided Within The Adiabatic Hyperspherical Formalism. The Two- And Three-Body Correlations Of Trimer States Are Substantially Enhanced Compared To The Other Eigenstates. The Two-Body Contact Of The Atom-Dimer And Trap States Features An Upper Bound Regardless Of The Statistics, Treated Semi-Classically And Having An Analytical Prediction In The Limit Of Large Scattering Lengths. Such An Upper Bound Is Absent In The Three-Body Contact. Interestingly, By Tuning The Interspecies Scattering Length The Contacts Oscillate As The Atom-Dimer And Trap States Change Character Through The Existent Avoided-Crossings In The Energy Spectra. For Thermal Gases, A Gradual Suppression Of The Involved Two- And Three-Body Correlations Is Evinced Manifesting The Impact Of Thermal Effects. Moreover, Spatial Configurations Of The Distinct Eigenstates Ranging From Localized Structures To Angular Anisotropic Patterns Are Captured. Our Results Provide Valuable Insights Into The Inherent Correlation Mechanisms Of Few-Body Mixtures Which Can Be Implemented In Recent Ultracold Atom Experiments And Will Be Especially Useful For Probing The Crossover From Few- To Many-Atom Systems.
Recommended Citation
G. Bougas et al., "Few-Body Correlations In Two-Dimensional Bose And Fermi Ultracold Mixtures," New Journal of Physics, vol. 23, no. 9, article no. 093022, IOP Publishing, Sep 2021.
The definitive version is available at https://doi.org/10.1088/1367-2630/ac0e56
Department(s)
Physics
Publication Status
Open Access
Keywords and Phrases
Bose and Fermi mixtures; hyperspherical formalism; Tan contacts; thermal gases; three-body bound states; two-dimensional systems
International Standard Serial Number (ISSN)
1367-2630
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2024 The Authors, All rights reserved.
Creative Commons Licensing
This work is licensed under a Creative Commons Attribution 4.0 License.
Publication Date
01 Sep 2021
