Bunching-antibunching crossover in harmonically trapped few-body Bose-Fermi mixtures

Abstract

We investigate the ground state of a few-body Bose-Fermi mixture in a one-dimensional harmonic trap with varying interaction strengths and mass ratio. A bunching-antibunching crossover of the bosonic species for increasing interspecies' repulsion is observed within our fully correlated \textit{ab~initio} studies. Interestingly, this crossover is suppressed if the bosonic repulsion exceeds a critical value which strongly depends on the mass ratio. In order to unveil the physical origin of this crossover, we employ different levels of approximations: while a species mean-field approach can account for the antibunching, only the inclusion of the interspecies correlations can lead to the bunching. We show that these correlations effectively create an induced bosonic interaction, which in turn elucidates the occurrence of the bosonic bunching. Finally, we derive a two-site extended Bose-Hubbard model which reveals the low-energy physics of the bosons for the case of much heavier fermions.

13 pages, 9 figures

References in corpus (15)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Bose-Fermi Mixtures in a Three-dimensional Optical Lattice
• Two Fermions in a double well: Exploring a fundamental building block of the Hubbard model
• Degenerate Bose-Bose mixture in a three-dimensional optical lattice
• Dual-Species Bose-Einstein Condensate of ${}^{87}$Rb and ${}^{133}$Cs
• Instabilities in binary mixtures of one-dimensional quantum degenerate gases
• Phase diagram of the extended Bose Hubbard model
• Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides
• Many-Body Expansion Dynamics of a Bose-Fermi Mixture Confined in an Optical Lattice
• Induced interactions in a superfluid Bose-Fermi mixture
• Finite temperature effects on the collapse of trapped Bose-Fermi mixtures
• Entanglement induced interactions in binary mixtures
• Spectral properties and breathing dynamics of a few-body Bose-Bose mixture in a 1D harmonic trap
• Correlation induced localization of lattice trapped bosons coupled to a Bose-Einstein condensate

Cited by in corpus (8)

• One-dimensional mixtures of several ultracold atoms: a review
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Impurity induced quantum chaos for an ultracold bosonic ensemble in a double-well
• Interaction induced single impurity tunneling in a binary mixture of trapped ultracold bosons
• Ion-induced interactions in a Tomonaga-Luttinger liquid
• Momentum reconstruction and contact of the one-dimensional Bose-Fermi mixture
• Dynamical formation of two-fold fragmented many-body state induced by an impurity in a double-well
• Many-body effects in the excitations and dynamics of trapped Bose-Einstein condensates