4.8 Article

Magnetism in Strongly Interacting One-Dimensional Quantum Mixtures

Journal

PHYSICAL REVIEW LETTERS
Volume 115, Issue 24, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.115.247202

Keywords

-

Funding

  1. ERC AdG OSYRIS
  2. EU EQuaM
  3. Plan Nacional FOQUS [2014 SGR 874]
  4. Spanish MINECO (Severo Ochoa Grant) [SEV-2015-0522]
  5. Ramon y Cajal program

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We consider two species of bosons in one dimension near the Tonks-Girardeau limit of infinite interactions. For the case of equal masses and equal intraspecies interactions, the system can be mapped to a S = 1/2 XXZ Heisenberg spin chain, thus allowing one to access different magnetic phases. Using a powerful ansatz developed for the two-component Fermi system, we elucidate the evolution from few to many particles for the experimentally relevant case of an external harmonic confinement. In the few-body limit, we already find clear evidence of both ferromagnetic and antiferromagnetic spin correlations as the ratio of intraspecies and interspecies interactions is varied. Furthermore, we observe the rapid emergence of symmetry-broken magnetic ground states as the particle number is increased. We therefore demonstrate that systems containing only a few bosons are an ideal setting in which to realize the highly sought-after itinerant ferromagnetic phase.

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