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Towards A Possible Charge-Kondo effect in Optical Lattices

The Kondo effect underpins a large body of recent developments in the physics of $d$- and $f$-band compounds. Although its {\it charge} analog is a rarity in solids, the recent observations of the charge Kondo effect and the consequent rise in superconducting T$_c$ encourage a search for other accessible systems. Motivated by the possibility of wilfully tuning the {\it sign} of the inter-electronic interaction in optical lattices, we study conditions for the elusive {\it charge Kondo liquid} (CKL) state to manifest. We propose that a combination of Feshbach resonances and sequentially controlled laser pulses may produce the CKL. We show that the CKL is {\it never} a stable ground state, appearing only when the ordered ground states are destabilized. Finally, we discuss interesting analogies with nuclear matter.