Speaker
Prof.
Frederic Mila
(Ecole Polytechnique Federale de Lausanne)
Description
In this talk, I will review the recent results we have
obtained on the SU(N) Heisenberg model of the Mott
insulating phase of multi-color ultracold fermionic atoms
loaded in optical lattices with various geometries. In 1D,
where Quantum Monte Carlo simulations can be performed, we
have calculated the correlations as a function of the
entropy per site, with the conclusion that the entropy below
which characteristic features show up increases with N and
reaches experimentally accessible values already for N=4
[1]. In 2D, using a variety of analytical and numerical
approaches, in
particular flavour-wave theory and a tensor-network
algorithm, we have shown that the nature of the ground state
depends crucially on the value of N and on the topology of
the lattice, including long-range color order for SU(3) on
the triangular and square lattices [2], spontaneous
dimerization for SU(4) on the square
lattice [3], and an algebraic quantum liquid for SU(4) on
the honeycomb lattice [4]. Experimental implications for
fermionic alkaline earth atoms will be briefly discussed.
[1] L. Messio and F. Mila, PRL 109, 205306 (2012).
[2] T. Toth, A. Laeuchli, F. Mila, K. Penc, PRL 105, 265301
(2010).
[3] P. Corboz, A. Laeuchli, K. Penc, M. Troyer, F. Mila, PRL
107, 215301 (2011).
[4] P. Corboz, M. Lajko, A. Laeuchli, K. Penc, F. Mila, PRX
2, 041013 (2012)
Primary author
Prof.
Frederic Mila
(Ecole Polytechnique Federale de Lausanne)
