Spin-chain model for strongly interacting one-dimensional Bose-Fermi mixtures
(2017) In Physical Review A (Atomic, Molecular and Optical Physics) 95(4).- 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,... (More)
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.
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- author
- Deuretzbacher, F. ; Becker, D. ; Bjerlin, J. LU ; Reimann, S. M. LU and Santos, L.
- organization
- publishing date
- 2017-04-21
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review A (Atomic, Molecular and Optical Physics)
- volume
- 95
- issue
- 4
- article number
- 043630
- publisher
- American Physical Society
- external identifiers
-
- scopus:85018609002
- wos:000399786800012
- ISSN
- 1050-2947
- DOI
- 10.1103/PhysRevA.95.043630
- language
- English
- LU publication?
- yes
- id
- b9c61dd9-7742-471b-b2ed-7a7233ef5f4a
- date added to LUP
- 2017-05-24 09:41:47
- date last changed
- 2024-12-09 12:15:57
@article{b9c61dd9-7742-471b-b2ed-7a7233ef5f4a,
abstract = {{<p>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.</p>}},
author = {{Deuretzbacher, F. and Becker, D. and Bjerlin, J. and Reimann, S. M. and Santos, L.}},
issn = {{1050-2947}},
language = {{eng}},
month = {{04}},
number = {{4}},
publisher = {{American Physical Society}},
series = {{Physical Review A (Atomic, Molecular and Optical Physics)}},
title = {{Spin-chain model for strongly interacting one-dimensional Bose-Fermi mixtures}},
url = {{http://dx.doi.org/10.1103/PhysRevA.95.043630}},
doi = {{10.1103/PhysRevA.95.043630}},
volume = {{95}},
year = {{2017}},
}