Few-body correlations in two-dimensional Bose and Fermi ultracold mixtures

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.

21 pages, 12 figures

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Cited by in corpus (12)

• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Crossover from attractive to repulsive induced interactions and bound states of two distinguishable Bose polarons
• Medium-induced bosonic clusters in a Bose-Fermi mixture: Towards simulating cluster formations in neutron-rich matter
• P-wave contacts of quantum gases in quasi-one-dimensional and quasi-two-dimensional traps
• Dynamical excitation processes and correlations of three-body two-dimensional mixtures
• Interferometry of Efimov states in thermal gases by modulated magnetic fields
• Energetics of three interacting mass-imbalanced bodies in a three-dimensional spherical harmonic trap
• Effects of Efimov states on quench dynamics in a three-boson trapped system
• Molecular excited state in the interaction quench dynamics of two different atoms in a two-dimensional anisotropic trap
• Density effects on the interferometry of Efimov states by modulating magnetic fields
• Dimensional crossover of bound complexes in a two-species Bose-Hubbard lattice: Correlations and dynamics
• Arbitrary interaction quench phenomena in harmonically trapped two-body systems