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The phase diagram of spin-3/2 fermionic cold atoms trapped in aone-dimensional optical lattice is investigated at quarter filling (one atomper site) by means of large-scale numerical simulations. In full agreement witha recent low-energy approach, we find two phases with confined and deconfinedCooper pairs separated by an Ising quantum phase transition. The leadinginstability in the confined phase is an atomic-density wave with subdominantquartet superfluid instability made of four fermions. Finally, we reveal theexistence of a bond-ordered Mott insulating phase in some part of the repulsiveregime.Comment: Published version with minor changes; 4 pages, 7 figure

physical review. b, condensed matter and materials physics

Confinement versus deconfinement of Cooper pairs in one-dimensional spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>3</mml:mn><mml:mo>∕</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math>fermionic cold atoms

Confinement versus deconfinement of Cooper pairs in one-dimensional spin-3∕2fermionic cold atoms