Pairing, crystallization and string correlations of mass-imbalanced atomic mixtures in one-dimensional optical lattices

Abstract

We numerically determine the very rich phase diagram of mass-imbalanced binary mixtures of hardcore bosons (or equivalently -- fermions, or hardcore-Bose/Fermi mixtures) loaded in one-dimensional optical lattices. Focusing on commensurate fillings away from half filling, we find a strong asymmetry between attractive and repulsive interactions. Attraction is found to always lead to pairing, associated with a spin gap, and to pair crystallization for very strong mass imbalance. In the repulsive case the two atomic components remain instead fully gapless over a large parameter range; only a very strong mass imbalance leads to the opening of a spin gap. The spin-gap phase is the precursor of a crystalline phase occurring for an even stronger mass imbalance. The fundamental asymmetry of the phase diagram is at odds with recent theoretical predictions, and can be tested directly via time-of-flight experiments on trapped cold atoms.

4 pages, 4 figures + Supplementary Material

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Cited by in corpus (11)

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• Dimer, trimer and FFLO liquids in mass- and spin-imbalanced trapped binary mixtures in one dimension
• Pairing patterns in one-dimensional spin- and mass-imbalanced Fermi gases
• Simulating artificial one-dimensional physics with ultra-cold fermionic atoms: three exemplary themes
• One-dimensional repulsive Hubbard model with mass imbalance: Orders and filling anomaly
• Interplay between exotic superfluidity and magnetism in a chain of four-component ultracold atoms
• Competing supersolids of Bose-Bose mixtures in a triangular lattice
• Phase Separation of Superfluids in the Chain of Four-Component Ultracold Atoms
• Superfluidity and pairing phenomena in ultracold atomic Fermi gases in one-dimensional optical lattices, Part I: Balanced case
• Superfluidity and pairing phenomena in ultracold atomic Fermi gases in one-dimensional optical lattices, Part II: Effects of population imbalance
• Magnetic properties of commensurate Bose-Bose mixtures in one-dimensional optical lattices