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

Deuretzbacher, F.; Becker, D.; Bjerlin, J. LU ; Reimann, S. M. LU and Santos, L. (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
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review A - Atomic, Molecular, and Optical Physics
volume
95
issue
4
publisher
American Physical Society (APS)
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
2018-01-14 04:32:44
@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>},
  articleno    = {043630},
  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 (APS)},
  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},
  volume       = {95},
  year         = {2017},
}