Signatures of Strong Correlations in One-Dimensional Ultra-Cold Atomic Fermi Gases

Abstract

Recent success in manipulating ultra-cold atomic systems allows to probe different strongly correlated regimes in one-dimension. Regimes such as the (spin-coherent) Luttinger liquid and the spin-incoherent Luttinger liquid can be realized by tuning the inter-atomic interaction strength and trap parameters. We identify the noise correlations of density fluctuations as a robust observable (uniquely suitable in the context of trapped atomic gases) to discriminate between these two regimes. Finally, we address the prospects to realize and probe these phenomena experimentally using optical lattices.

4 pages, 2 figures

References in corpus (9)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Spatial quantum noise interferometry in expanding ultracold atom clouds
• Spin-charge separation and localization in one-dimension
• Green's function for magnetically incoherent interacting electrons in one dimension
• Localization Transition in a Ballistic Quantum Wire
• Charge and spin dynamics of interacting Fermions in a one dimensional harmonic trap
• Transport in a spin incoherent Luttinger liquid
• Fourier transform of the $2k_F$ Luttinger liquid density correlation function with different spin and charge velocities
• Boundary Green's Function for Spin-Incoherent Interacting Electrons in One Dimension

Cited by in corpus (3)

• Spin-charge separation in a 1D Fermi gas with tunable interactions
• Thermal disruption of a Luttinger liquid
• Singular responses of spin-incoherent Luttinger liquids