Conditions of Low Dimensionality for Strongly Interacting Atoms Under a Transverse Trap

Abstract

For a dilute atomic gas in a strong transverse trapping potential, one normally expects that, in the ground state, the gas will populate only the lowest transverse level. We show, however, that for the strongly interacting gas under a Feshbach resonance, the ground state includes a large fraction of atoms in excited levels of the trap, even if the gas is very dilute and the trap is very strong. This is because the effective atom-molecule coupling is typically enhanced to many times the trap mode spacing by an induced confinement along the untrapped dimension(s). Thus one cannot ''freeze out'' the transverse degrees of freedom except under certain conditions.

9 pages, 7 figures

References in corpus (5)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
• Molecules of Fermionic Atoms in an Optical Lattice
• BCS-BEC crossover and quantum phase transition for 6Li and 40K atoms across Feshbach resonance
• Properties of quasi-one-dimensional molecules with Feshbach resonance interaction

Cited by in corpus (8)

• Many-Body Physics with Ultracold Gases
• Observation of a two-dimensional Fermi gas of atoms
• Berezinskii-Kosterlitz-Thouless transition in trapped quasi-two-dimensional Fermi gas near a Feshbach resonance
• BCS-BEC Crossover of a Quasi-two-dimensional Fermi Gas: the Significance of Dressed Molecules
• Effective low-dimensional Hamiltonian for strongly interacting atoms in a transverse trap
• Significance of dressed molecules in a quasi-two-dimensional polarized Fermi gas
• Non-universal Fermi polaron in quasi two-dimensional quantum gases
• BCS-BEC crossover in a quasi-two-dimensional Fermi superfluid