We theoretically investigate the emergent phases of strongly correlated spin-21 Fermi gases of Rydberg-dressed atoms in a one-dimensional optical lattice. At weak coupling, a bosonization description is used to demonstrate the ability to drive alternating quantum phase transitions between distinct Luttinger liquids. At strong coupling, the ground state exhibits nontrivial phase separation, with Luttinger liquid puddles separated by magnetic domain walls, due to the interplay of the incommensurate filling and the Rydberg core length scale. These phases can be detected in ultracold gases of Rydberg atoms made from 6Li.
The emergent phases of strongly correlated spin -21 Fermi gases of Rydberg-dressed atoms in a one-dimensional optical lattice are theoretically investigated. At weak coupling a bosonization description is used to demonstrate the ability to drive alternating quantum phase transitions between distinct Luttinger liquids. At strong coupling the ground state develops nontrivial phase separation exhibiting Luttinger liquid puddles separated by magnetic domain walls due to the interplay of the incommensurate filling and the Rydberg core length scale. These phases can be detected in ultracold gases of Rydberg atoms made from 6Li.
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