Spin-chain model for strongly interacting one-dimensional Bose-Fermi mixtures

authored by: Frank Deuretzbacher, Dennis Becker, J. Bjerlin, S. M. Reimann, Luis Santos
Abstract: 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.
Organisation(s): Institute of Theoretical Physics
CRC 1227 Designed Quantum States of Matter (DQ-mat)
External Organisation(s): Universität Hamburg
Lund University
Type: Article
Journal: Physical Review A
Volume: 95
ISSN: 2469-9926
Publication date: 21.04.2017
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Atomic and Molecular Physics, and Optics
Electronic version(s): https://doi.org/10.1103/PhysRevA.95.043630 (Access: Unknown)

BibTeX

@article{0ac2e2a8ed4d4090af05e25943cf453b,
title = "Spin-chain model for strongly interacting one-dimensional Bose-Fermi mixtures",
abstract = "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.",
author = "Frank Deuretzbacher and Dennis Becker and J. Bjerlin and Reimann, {S. M.} and Luis Santos",
note = "Funding information: This work was supported by the DFG [Projects No. SA 1031/7-1, No. RTG 1729, and No. CRC 1227 (DQ-mat), Sub-Project A02], the Cluster of Excellence QUEST, the Swedish Research Council, and NanoLund.",
year = "2017",
month = apr,
day = "21",
doi = "10.1103/PhysRevA.95.043630",
language = "English",
volume = "95",
journal = "Physical Review A",
issn = "2469-9926",
publisher = "American Physical Society",
number = "4",
}