Pair formation and collapse in imbalanced Fermion populations with unequal masses

Abstract

We present an exact Quantum Monte Carlo study of the effect of unequal masses on pair formation in Fermionic systems with population imbalance loaded into optical lattices. We have considered three forms of the attractive interaction and find in all cases that the system is unstable and collapses as the mass difference increases and that the ground state becomes an inhomogeneous collapsed state. We also address the question of canonical vs grand canonical ensemble and its role, if any, in stabilizing certain phases.

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• Luttinger liquid of trimers in Fermi gases with unequal masses
• Multi-particle composites in density-imbalanced quantum fluids
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• Dimer, trimer and FFLO liquids in mass- and spin-imbalanced trapped binary mixtures in one dimension
• Finite temperature QMC study of the one-dimensional polarized Fermi gas
• The ab initio study of unconventional superconductivity in CeCoIn${}_5$ and FeSe
• Multimer formation in 1D two-component gases and trimer phase in the asymmetric attractive Hubbard model
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• Pairing in population imbalanced Fermion systems