Luther-Emery Phase and Atomic-Density Waves in a Trapped Fermion Gas
arXiv:cond-mat/0609346 · doi:10.1103/PhysRevLett.98.030404
Abstract
The Luther-Emery liquid is a state of matter that is predicted to occur in one-dimensional systems of interacting fermions and is characterized by a gapless charge spectrum and a gapped spin spectrum. In this Letter we discuss a realization of the Luther-Emery phase in a trapped cold-atom gas. We study by means of the density-matrix renormalization-group technique a two-component atomic Fermi gas with attractive interactions subject to parabolic trapping inside an optical lattice. We demonstrate how this system exhibits compound phases characterized by the coexistence of spin pairing and atomic-density waves. A smooth crossover occurs with increasing magnitude of the atom-atom attraction to a state in which tightly bound spin-singlet dimers occupy the center of the trap. The existence of atomic-density waves could be detected in the elastic contribution to the light-scattering diffraction pattern.
10 pages, 3 figures, 1 Table, submitted to Phys. Rev. on July 25th 2006
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Cited by in corpus (8)
- Pairing states of a polarized Fermi gas trapped in a one-dimensional optical lattice
- Fulde-Ferrell-Larkin-Ovchinnikov superfluidity in one-dimensional optical lattices
- Spin 3/2 fermions with attractive interactions in a one-dimensional optical lattice: phase diagrams, entanglement entropy, and the effect of the trap
- Entanglement in spatially inhomogeneous many-fermion systems
- Supersolid state of ultracold fermions in an optical lattice
- Collective excitations in one-dimensional ultracold Fermi gases: a comparative study
- Successes and failures of Bethe Ansatz Density Functional Theory
- Correlation Effects on Atom Density Profiles of 1-D and 2-D Polarized Atomic-Fermi-Gas Loaded on Optical Lattice