Effective low-dimensional Hamiltonian for strongly interacting atoms in a transverse trap

Abstract

We derive an effective low-dimensional Hamiltonian for strongly interacting ultracold atoms in a transverse trapping potential near a wide Feshbach resonance. The Hamiltonian includes crucial information about transverse excitations in an effective model with renormalized interaction between atoms and composite dressed molecules. We fix all the parameters in the Hamiltonian for both one- and two-dimensional cases.

v2: 5 pages, 1 figure; expanded presentation of the formalism

References in corpus (13)

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• Bose-Einstein condensation in quasi2D trapped gases
• Resonance superfluidity in a quantum degenerate Fermi gas
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• Evidence for Superfluidity of Ultracold Fermions in an Optical Lattice
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• Properties of quasi-one-dimensional molecules with Feshbach resonance interaction

Cited by in corpus (15)

• Berezinskii-Kosterlitz-Thouless transition in trapped quasi-two-dimensional Fermi gas near a Feshbach resonance
• Reduced quantum anomaly in a quasi-2D Fermi superfluid: The significance of the confinement-induced effective range of interactions
• BCS-BEC Crossover of a Quasi-two-dimensional Fermi Gas: the Significance of Dressed Molecules
• Interatomic collisions in two-dimensional and quasi-two-dimensional confinements with spin-orbit coupling
• Angular Fulde-Ferrell-Larkin-Ovchinnikov state in cold fermion gases in a toroidal trap
• Pairing instabilities in quasi-two-dimensional Fermi gases
• A general T-matrix approach applied to two-body and three-body problems in cold atomic gases
• Feshbach resonances in a nonseparable trap
• Effective Hamiltonians for quasi-one-dimensional Fermi gases with spin-orbit coupling
• Pseudogap regime of a strongly interacting two-dimensional Fermi gas with and without confinement-induced effect range of interactions
• Significance of dressed molecules in a quasi-two-dimensional polarized Fermi gas
• Impact of overlapping resonances on magnetoassociation of cold molecules in tight traps
• Causality and dimensionality in geometric scattering
• Non-universal Fermi polaron in quasi two-dimensional quantum gases
• BCS-BEC crossover in a quasi-two-dimensional Fermi superfluid