
Stephanie Reimann
Professor

Spin-chain model for strongly interacting one-dimensional Bose-Fermi mixtures
Author
Summary, in English
Strongly interacting one-dimensional (1D) Bose-Fermi mixtures form a tunable XXZ spin chain. Within the spin-chain model developed here, all properties of these systems can be calculated from states representing the ordering of the bosons and fermions within the atom chain and from the ground-state wave function of spinless noninteracting fermions. We validate the model by means of an exact diagonalization of the full few-body Hamiltonian in the strongly interacting regime. Using the model, we explore the phase diagram of the atom chain as a function of the boson-boson (BB) and boson-fermion (BF) interaction strengths and calculate the densities, momentum distributions, and trap-level occupancies for up to 17 particles. In particular, we find antiferromagnetic (AFM) and ferromagnetic (FM) order and a demixing of the bosons and fermions in certain interaction regimes. We find, however, no demixing for equally strong BB and BF interactions, in agreement with earlier calculations that combined the Bethe ansatz with a local-density approximation.
Department/s
- Mathematical Physics
- NanoLund: Center for Nanoscience
Publishing year
2017-04-21
Language
English
Publication/Series
Physical Review A (Atomic, Molecular and Optical Physics)
Volume
95
Issue
4
Document type
Journal article
Publisher
American Physical Society
Topic
- Atom and Molecular Physics and Optics
Status
Published
ISBN/ISSN/Other
- ISSN: 1050-2947