Higgs searches at CMS

Results are summarized from searches for the standard model Higgs boson in pp collisions at sqrt(s) = 7 and 8 TeV in the CMS experiment at the LHC. The measurements of mass, cross section, and properties of the narrow resonance recently observed are presented. The searches beyond standard model Higgs boson, in the CMS experiment at the LHC, are highlighted.Comment: 14 pages, 15 figures, Proceedings of the PIC 2012, Strbske Pleso, Slovaki

Ferromagnetic ground states of the Hubbard model on a complete graph

We use group theory to derive the exact analytical expression of the ferromagnetic ground states of the Hubbard model on a complete graph for arbitrary lattice sites f and for arbitrary fillings $N$. We find that for $t>0$ and for $N=f+1$ the ground state is maximally ferromagnetic with total spin $S=(f-1)/2$. For $N > f+1$ the ground state is still ferromagnetic but becomes degenerate with respect to $S$.Comment: latex fil

Matter wave quantum dots (anti-dots) in ultracold atomic Bose-Fermi mixtures

The properties of ultracold atomic Bose-Fermi mixtures in external potentials are investigated and the existence of gap solitons of Bose-Fermi mixtures in optical lattices demonstrated. Using a self-consistent approach we compute the energy spectrum and show that gap solitons can be viewed as matter wave realizations of quantum dots (anti-dots) with the bosonic density playing the role of trapping (expulsive) potential for the fermions. The fermionic states trapped in the condensate are shown to be at the bottom of the Fermi sea and therefore well protected from thermal decoherence. Energy levels, filling factors and parameters dependence of gap soliton quantum dots are also calculated both numerically and analytically.Comment: Extended version of talk given at the SOLIBEC conference, Almagro, Spain, 8-12 February 2005. To be published on Phys.Rev.