Details
| Original language | English |
|---|---|
| Article number | 043630 |
| Journal | Physical Review A |
| Volume | 95 |
| Issue number | 4 |
| Publication status | Published - 21 Apr 2017 |
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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
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In: Physical Review A, Vol. 95, No. 4, 043630, 21.04.2017.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Spin-chain model for strongly interacting one-dimensional Bose-Fermi mixtures
AU - Deuretzbacher, Frank
AU - Becker, Dennis
AU - Bjerlin, J.
AU - Reimann, S. M.
AU - Santos, Luis
N1 - 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.
PY - 2017/4/21
Y1 - 2017/4/21
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85018609002&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.95.043630
DO - 10.1103/PhysRevA.95.043630
M3 - Article
AN - SCOPUS:85018609002
VL - 95
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 4
M1 - 043630
ER -