Dieter Jaksch et al. [1] proposed in 1998 ultracold atoms
setups as simulators for condensed matter physics, and they
were right! Following this idea, Markus Greiner et al. [2]
reported in 2002 the first experimental implementation of
the Bose-Hubbard model at zero temperature. This pioneering
experiment, which allows for the direct observation of the
quantum phase transition from a superfluid to a Mott
insulator state, has definitely opened a novel area of
research. Since 15 years, a huge amount of researchers,
including me, is motivated by the observation of new
quantum phases and phase transitions.
In particular, recent progress in the field have allowed
the study of bosonic systems with multiple components, such
as bosons with spin degree of freedom and atomic-molecular
mixtures. The richness of these systems comes from the
competition between different terms of the Hamiltonian,
leading to multicomponent Bose-Einstein condensates,
multiple transitions and quantum magnetism. Two systems
particularly drew my attention: an atomic and molecular
model [3], and a model with spin-spin interactions [4]. I
have investigated these systems by using quantum Monte
Carlo simulations and exact diagonalization method. I will
show that these systems exhibit intriguing phases (e.g.
Feshbach Insulator), as well as many phase transitions.
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[1] D. Jaksch et al., PRL 81, 3108 (1998).<br>
[2] M. Greiner et al., Nature 415, 39-44 (2002).<br>
[3] L. de Forges et al., PRL 114, 195302 (2015).<br>
[4] L. de Forges et al., PRL 113, 200402 (2014).<br> |