Abstract
We investigate the localization pattern of interacting impurities, which are trapped in a lattice potential and couple to a Bose gas. For small interspecies interaction strengths, the impurities populate the energetically lowest Bloch state or localize separately in different wells with one extra particle being delocalized over all the wells, depending on the lattice depth. In contrast, for large interspecies interaction strengths we find that due to the fractional filling of the lattice and the competition of the repulsive contact interaction between the impurities and the attractive interaction mediated by the Bose gas, the impurities localize either pairwise or completely in a single well. Tuning the lattice depth, the interspecies and intraspecies interaction strength correspondingly allows for a systematic control and engineering of the two localization patterns. The sharpness of the crossover between the two states as well as the broad region of their existence supports the robustness of the engineering. Moreover, we are able to manipulate the ground state’s degeneracy in the form of triplets, doublets and singlets by implementing different boundary conditions, such as periodic and hard wall boundary conditions.
Highlights
The interest in the properties and dynamics of ultracold atomic mixtures has been substantially increasing in the last few decades
We investigate the localization pattern of interacting impurities, which are trapped in a lattice potential and couple to a Bose gas
Increasing the lattice depth for small gAB three lattice atoms will localize separately in different wells with the one extra particle being delocalized over all the wells [figure 2(a)]
Summary
The interest in the properties and dynamics of ultracold atomic mixtures has been substantially increasing in the last few decades. Setting the latter to zero and increasing the lattice depth and the interspecies interaction strength, the ground state wave function undergoes a transition from an uncorrelated to a highly correlated state, which manifests itself in the localization of the lattice atoms in the latter regime [59] This means that all impurity atoms cluster in a single well, while the majority Bose gas atoms are expelled from it. Our work is structured as follows: In section 2 we present the system under investigation consisting of a bosonic impurity species which is trapped in a one-dimensional lattice with periodic or hard wall boundary conditions and couples to a Bose gas of a second majority species of bosons.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
