Dimer, trimer and FFLO liquids in mass- and spin-imbalanced trapped binary mixtures in one dimension

Abstract

We present a systematic investigation of attractive binary mixtures in presence of both spin- and mass-imbalance in one dimensional setups described by the Hubbard model. After discussing typical cold atomic experimental realizations and the relation between microscopic and effective parameters, we study several many-body features of trapped Fermi-Fermi and Bose-Bose mixtures such as density profiles, momentum distributions and correlation functions by means of numerical density-matrix-renormalization-group and Quantum Monte Carlo simulations. In particular, we focus on the stability of Fulde-Ferrell-Larkin-Ovchinnikov, dimer and trimer fluids in inhomogeneous situations, as typically realized in cold gas experiments due to the harmonic confinement. We finally consider possible experimental signatures of these phases both in the presence of a finite polarization and of a finite temperature.

19 pages, 25 figures

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Cited by in corpus (25)

• Fermi gases in one dimension: From Bethe Ansatz to experiments
• The Fulde-Ferrell-Larkin-Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review
• Cooling and thermometry of atomic Fermi gases
• Observation of a Strong Atom-Dimer Attraction in a Mass-Imbalanced Fermi-Fermi Mixture
• Interaction quantum quenches in the one-dimensional Fermi-Hubbard model with spin imbalance
• Binding of heavy fermions by a single light atom in one dimension
• Pairing patterns in one-dimensional spin- and mass-imbalanced Fermi gases
• Magnetic phases of mass- and population-imbalanced ultracold fermionic mixtures in optical lattices
• Fast trimers in one-dimensional extended Fermi-Hubbard model
• Enhanced visibility of the Fulde-Ferrell-Larkin-Ovchinnikov state in one dimensional Bose-Fermi mixtures near the immiscibility point
• Quantum Coherent States of Interacting Bose-Fermi Mixtures in One Dimension
• Multiple phase separation in one-dimensional mixtures of mass- and population-imbalanced attractive Fermi gases
• Pairs, trimers and BCS-BEC crossover near a flat band: the sawtooth lattice
• Universal and anomalous behavior in the thermalization of strongly interacting harmonically trapped gas mixtures
• Component separation of two-component fermion clouds in a spin-dependent external potential by spin-density-functional theory
• Excitonic density-waves, bi-excitons and orbital selective pairing in two-orbital correlated chains
• Mass-imbalance induced metal-insulator transition in a three-component Hubbard model
• Mott transitions in a three-component Falicov-Kimball model: A slave boson mean-field study
• Phase Separation of Superfluids in the Chain of Four-Component Ultracold Atoms
• Class of variational ansaetze for the "spin-incoherent" ground-state of a Luttinger liquid coupled to a spin bath
• Kinetic formation of trimers in a spinless fermionic chain
• Stability of $(N+1)$-body fermion clusters in multiband Hubbard model
• The demixing of the two-component fermions in optical lattices under a spin-dependent external potential
• Magnetic properties of commensurate Bose-Bose mixtures in one-dimensional optical lattices
• Low-dimensional physics of ultracold gases with bound states and the sine-Gordon model