Density-Matrix Renormalization Group Study of Trapped Imbalanced Fermi Condensates

Abstract

The density-matrix renormalization group is employed to investigate a harmonically-trapped imbalanced Fermi condensate based on a one-dimensional attractive Hubbard model. The obtained density profile shows a flattened population difference of spin-up and spin-down components at the center of the trap, and exhibits phase separation between the condensate and unpaired majority atoms for a certain range of the interaction and population imabalance $P$. The two-particle density matrix reveals that the sign of the order parameter changes periodically, demonstrating the realization of the Fulde-Ferrell-Larkin-Ovchinnikov phase. The minority spin atoms contribute to the quasi-condensate up to at least $P\simeq 0.8$. Possible experimental situations to test our predictions are discussed.

4 pages, 3 figures; added references; accepted for publication in Phys. Rev. Lett

References in corpus (3)

• Molecular Probe of Pairing in the BEC-BCS Crossover
• Pairing states of a polarized Fermi gas trapped in a one-dimensional optical lattice
• Mean field thermodynamics of a spin-polarized spherically trapped Fermi gas at unitarity

Cited by in corpus (7)

• Fulde-Ferrell-Larkin-Ovchinnikov superfluidity in one-dimensional optical lattices
• The FFLO state in the one-dimensional attractive Hubbard model and its fingerprint in the spatial noise correlations
• Finite temperature phase diagram of a spin-polarized ultracold Fermi gas in a highly elongated harmonic trap
• Spectral signatures of the Fulde-Ferrell-Larkin-Ovchinnikov order parameter in one-dimensional optical lattices
• Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures
• Correlation Effects on Atom Density Profiles of 1-D and 2-D Polarized Atomic-Fermi-Gas Loaded on Optical Lattice
• Phase diagram of a bosonic ladder with two coupled chains