Liquids in multiorbital<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mtext>SU</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>magnets made up of ultracold alkaline-earth atoms

In this work we study one family of liquid states of korbital \text{SU}(N)spin systems, focusing on the case of k=2which can be realized by ultracold alkaline-earth atoms trapped in optical lattices, with Nas large as 10. Five different algebraic liquid states with selectively coupled charge, spin, and orbital quantum fluctuations are considered. The algebraic liquid states can be stabilized with large enough Nand the scaling...