Multichannel Molecular State and Rectified Short-range Boundary Condition for Spin-orbit Coupled Ultracold Fermions Near p-wave Resonances

Abstract

We study the interplay of spin-orbit coupling (SOC) and strong p-wave interaction to the scattering property of spin-1/2 ultracold Fermi gases. Based on a two-channel square-well potential generating p-wave resonance, we show that the presence of an isotropic SOC, even for its length much longer than the potential range, can greatly modify the p-wave short-range boundary condition(BC). As a result, the conventional p-wave BC cannot predict the induced molecules near p-wave resonance, which can be fully destroyed to vanish due to strong interference between s- and p-wave channels. By analyzing the intrinsic reasons for the breakdown of conventional BC, we propose a new p-wave BC that can excellently reproduce the exact molecule solutions and also equally apply for a wide class of single-particle potentials besides SOC. This work reveals the significant effect of SOC to both the short- and long-range properties of fermions near p-wave resonance, paving the way for future exploring interesting few- and many-body physics in such system.

4.5 pages, 3 figures; published version

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Cited by in corpus (7)

• Contact theory for spin-orbit-coupled Fermi gases
• Universal Feature in Optical Control of a p-wave Feshbach Resonance
• Universal relations for spin-orbit coupled Fermi gas near an s-wave resonance
• Two-body bound state of ultracold Fermi atoms with two-dimensional spin-orbit coupling
• Universal relations for hybridized $s$- and $p$-wave interactions from spin-orbital coupling
• Three-boson spectrum in the presence of 1D spin-orbit coupling: Efimov's generalized radial scaling law
• Energetics and structural properties of two- and three-boson systems in the presence of 1D spin-orbit coupling