Ground state properties of a three-site Bose-Fermi ring with a small number of atoms

Details Ground state properties of a three-site Bose-Fermi ring with a small number of atoms Ground state properties of a three-site Bose-Fermi ring with a small number of atoms

2010-11-23

arxiv.org/abs/1011.5002v1

J. Phys. B: At. Mol. Opt. Phys. 44, 135301 (2011)

Physics

Condensed Matter

Quantum Gases

5 pages, 8 figures

Scientific paper

10.1088/0953-4075/44/13/135301

We investigate a three-site ring system with a small number of quantum degenerate bosons and fermions. By means of the exact diagonalization of the Bose-Fermi-Hubbard Hamiltonian, we show that the symmetry of the ground state configuration is a function of both the boson-boson and the inter-species interaction in the system. The phase diagram of the system, constructed by computing the exact two-body spatial correlations, reveals nontrivial insulating phases that exist even in the strong bosonic tunneling limit and for incommensurate filling of bosons. These insulating phases are due to the inter-species interactions in the system and are not necessarily accompanied by the suppression of the particle number fluctuations.

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