Phase separation of trapped spin-imbalanced Fermi gases in one-dimensional optical lattices

Abstract

We calculate the density profiles of a trapped spin-imbalanced Fermi gas with attractive interactions in a one-dimensional optical lattice, using both the local density approximation (LDA) and density matrix renormalization group (DMRG) simulations. Based on the exact equation of state obtained by Bethe ansatz, LDA predicts that the gas phase-separates into shells with a partially polarized core and fully paired wings, where the latter occurs below a critical spin polarization. This behavior is also seen in numerically exact DMRG calculations at sufficiently large particle numbers. Unlike the continuum case, we show that the critical polarization is a non monotonic function of the interaction strength and vanishes in the limit of large interactions.

7 pages Revtex4, 9 eps figures; version as published, minor revisions

References in corpus (28)

• Many-Body Physics with Ultracold Gases
• Theory of ultracold Fermi gases
• Phase diagram of a two-component Fermi gas with resonant interactions
• Collective Oscillations of an Imbalanced Fermi Gas: Axial Compression Modes and Polaron Effective Mass
• Deformation of a Trapped Fermi Gas with Unequal Spin Populations
• Quantum degenerate two-species Fermi-Fermi mixture coexisting with a Bose-Einstein condensate
• Phase diagram of a strongly interacting polarized Fermi gas in one dimension
• BEC-BCS crossover, phase transitions and phase separation in polarized resonantly-paired superfluids
• Pairing states of a polarized Fermi gas trapped in a one-dimensional optical lattice
• Quasi-one-dimensional polarized Fermi superfluids
• Fulde-Ferrell-Larkin-Ovchinnikov superfluidity in one-dimensional optical lattices
• Exact quantum Monte Carlo study of one dimensional trapped fermions with attractive contact interactions
• Density-Matrix Renormalization Group Study of Trapped Imbalanced Fermi Condensates
• Exact Numerical Study of Pair Formation with Imbalanced Fermion Populations
• The FFLO state in the one-dimensional attractive Hubbard model and its fingerprint in the spatial noise correlations
• Quantum Monte Carlo study of confined fermions in one-dimensional optical lattices
• Theory of quasi-one dimensional imbalanced Fermi gases
• Luttinger liquid of trimers in Fermi gases with unequal masses
• Pair correlations of a spin-imbalanced Fermi gas on two-leg ladders
• Quantum phase diagram of fermion mixtures with population imbalance in one-dimensional optical lattices
• Multi-particle composites in density-imbalanced quantum fluids
• BCS-BEC crossover and the disappearance of FFLO-correlations in a spin-imbalanced, one-dimensional Fermi gas
• Numerical simulations of strongly correlated fermions confined in 1D optical lattices
• Pair formation and collapse in imbalanced Fermion populations with unequal masses
• Exotic paired states with anisotropic spin-dependent Fermi surfaces
• Spectral properties of a partially spin-polarized one-dimensional Hubbard/Luttinger superfluid
• Commensurability effects for fermionic atoms trapped in 1D optical lattices
• Correlation Effects on Atom Density Profiles of 1-D and 2-D Polarized Atomic-Fermi-Gas Loaded on Optical Lattice

Cited by in corpus (31)

• Fermi gases in one dimension: From Bethe Ansatz to experiments
• Ultra-cold Polarized Fermi Gases
• Long-time behavior of the momentum distribution during the sudden expansion of a spin-imbalanced Fermi gas in one dimension
• Electronic phase separation: recent progress in the old problem
• Spectroscopy of the soliton lattice formation in quasi-one-dimensional fermionic superfluids with population imbalance
• 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
• Multimer formation in 1D two-component gases and trimer phase in the asymmetric attractive Hubbard model
• Interaction quantum quenches in the one-dimensional Fermi-Hubbard model with spin imbalance
• Universal quantum behaviors of interacting fermions in 1D traps: from few particles to the trap thermodynamic limit
• Ground states and dynamics of population-imbalanced Fermi condensates in one dimension
• Critical behaviour in one dimension: unconventional pairing, phase separation, BEC-BCS crossover and magnetic Lifshitz transition
• Enhanced visibility of the Fulde-Ferrell-Larkin-Ovchinnikov state in one dimensional Bose-Fermi mixtures near the immiscibility point
• Solving lattice density functionals close to the Mott regime
• Dimensional Crossover in a Spin-imbalanced Fermi gas
• Simulating artificial one-dimensional physics with ultra-cold fermionic atoms: three exemplary themes
• Pairs, trimers and BCS-BEC crossover near a flat band: the sawtooth lattice
• Quantum critical behavior and thermodynamics of the repulsive one-dimensional Hubbard model in a magnetic field
• Excitonic density-waves, bi-excitons and orbital selective pairing in two-orbital correlated chains
• Phase separations induced by a trapping potential in one-dimensional fermionic systems as a source of core-shell structures
• Phase diagrams of polarized ultra-cold gases on attractive-U Hubbard ladders
• Phase Separation of Superfluids in the Chain of Four-Component Ultracold Atoms
• Fermionic trimers in spin-dependent optical lattices
• Emergence of Quintet Superfluidity in the Chain of Partially Polarized Spin-3/2 Ultracold Atom
• Class of variational ansaetze for the "spin-incoherent" ground-state of a Luttinger liquid coupled to a spin bath
• The demixing of the two-component fermions in optical lattices under a spin-dependent external potential
• Unconventional pairings of spin-orbit coupled attractive degenerate Fermi gas in a one dimensional optical lattice
• Dimensional crossover on multileg attractive-$U$ Hubbard ladders
• Fulde-Ferrell states in unequally charged Fermi gases
• Coexistence of insulating phases in confined fermionic chains with a Wannier-Stark potential
• Unconventional pairing in few-fermion systems tuned by external confinement