Phase Diagram of a Strongly Interacting Polarized Fermi Gas in One Dimension

2006/10/31 by Hui Hu, Xia-Ji Liu, P. D. Drummond +1 · 13 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #cond-mat.stat-mech #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevlett.98.070403

published as Phys. Rev. Lett. 98, 070403 (2007) · 4 pages, 5 figures; title changed; published version in PRL

openalex publication_date 2007/02/14 · arxiv created 2007/02/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Based on the integrable Gaudin model and local density approximation, we discuss the ground state of a one-dimensional trapped Fermi gas with imbalanced spin population, for an arbitrary attractive interaction. A phase separation state, with a polarized superfluid core immersed in an unpolarized superfluid shell, emerges below a critical spin polarization. Above it, coexistence of polarized superfluid matter and a fully polarized normal gas is favored. These two exotic states could be realized experimentally in highly elongated atomic traps, and diagnosed by measuring the lowest density compressional mode. We identify the polarized superfluid as having an Fulde-Ferrell-Larkin-Ovchinnikov structure, and predict the resulting mode frequency as a function of the spin polarization.

Citations

• Exactly Solvable Model of the BCS-BEC Crossover
• Signature of Mott-Insulator Transition with Ultracold Fermions in a One-Dimensional Optical Lattice

Cited by

• Fulde-Ferrell-Larkin-Ovchinnikov pairing in one-dimensional optical lattices
• Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures
• Density-Matrix Renormalization Group Study of Trapped Imbalanced Fermi Condensates
• On the spin asymmetry of ground states in trapped two-component Fermi gases with repulsive interactions
• Quantum phase diagram of fermion mixtures with population imbalance in one-dimensional optical lattices
• Many-body physics with ultracold gases
• Imbalanced Feshbach-resonant Fermi gases
• Collective modes as a probe of imbalanced Fermi gases
• Phase separation of trapped spin-imbalanced Fermi gases in one-dimensional optical lattices
• Fulde-Ferrell-Larkin-Ovchinnikov state in the one-dimensional attractive Hubbard model and its fingerprint in spatial noise correlations
• Finite-temperature phase diagram of a spin-polarized ultracold Fermi gas in a highly elongated harmonic trap
• Collective modes and the speed of sound in the Fulde-Ferrell-Larkin-Ovchinnikov state
• Ground states and dynamics of population-imbalanced Fermi condensates in one dimension