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Bulletin of the American Physical Society

Luttinger liquids in trapped ultracold atomic Fermi gases

C. J. Bolech, Paata Kakashvili, Satyan Bhongale, Han Pu

Published May 22, 2009• 0 citations
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Recent success in manipulating ultracold atomic systems allows one to probe different strongly correlated regimes in one dimension. Regimes such as the (spin-coherent) Luttinger liquid and the spin-incoherent Luttinger liquid can be realized by tuning the interatomic interaction strength and trap parameters. We identify the noise correlations of density fluctuations as a robust observable (uniquely suitable in the context of trapped atomic gases) to discriminate between these two regimes. Finally, we address the prospects of realizing and probing these phenomena experimentally using optical lattices.
The emergent phases of strongly correlated spin-12\frac{1}{2}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^{6}\mathrm{Li}6Li.