Center of Mass Momentum Dependent Interaction Between Ultracold Atoms

Abstract

We show that a new type of two-body interaction, which depends on the momentum of the center of mass (CoM) of these two particles, can be realized in ultracold atom gases with a laser-modulaed magnetic Feshbach resonance (MFR). Here the MFR is modulated by two laser beams propagating along different directions, which can induce Raman transition between two-body bound states. The Doppler effect causes the two-atom scattering length to be strongly dependent on the CoM momentum of these two atoms. As a result, the effective two-atom interaction is CoM-momentum dependent, while the one-atom free Hamiltonian is still the simple kinetic energy ${\mathbf{p}}^2/(2m)$.

Main paper: 5 pages, 3 figures. Supplemental material: 9 pages, 4 figure

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• Theory of strongly paired fermions with arbitrary short-range interactions
• High-momentum tail and universal relations of a Fermi gas near a Raman-dressed Feshbach resonance
• Probing Energy-Dependent Feshbach Resonances by Optical Control
• Tuning Feshbach resonance in cold atomic gases with inter-channel coupling
• Synthesis of Majorana mass terms in low-energy quantum systems