Mixed partial-wave scattering with spin-orbit coupling and validity of pseudo-potentials
arXiv:1112.1122 · doi:10.1103/PhysRevA.85.022705
Abstract
We present exact solutions of two-body problem for spin-1/2 fermions with isotropic spin-orbit(SO) coupling and interacting with an arbitrary short-range potential. We find that in each partial-wave scattering channel, the parametrization of two-body wavefunction at short inter-particle distance depends on the scattering amplitudes of all channels. This reveals the mixed partial-wave scattering induced by SO couplings. By comparing with results from a square-well potential, we investigate the validity of original pseudo-potential models in the presence of SO coupling. We find the s-wave pseudo-potential provides a good approximation for low-energy solutions near s-wave resonances, given the length scale of SO coupling much longer than the potential range. However, near p-wave resonance the p-wave pseudo-potential gives low-energy solutions that are qualitatively different from exact ones, based on which we conclude that the p-wave model can not be applied to the fermion system if the SO coupling strength is larger or comparable to the Fermi momentum.
10 pages, 8 figures. Published version with figures improved
References in corpus (6)
- A Bose-Einstein Condensate in a Uniform Light-induced Vector Potential
- Resonantly-paired fermionic superfluids
- Spin-Orbit Coupled Quantum Gases
- Chiral Rashba spin textures in ultra-cold Fermi gases
- Confinement-induced p-wave resonances from s-wave interactions
- High temperature thermodynamics of strongly interacting s-wave and p-wave Fermi gases in a harmonic trap
Cited by in corpus (51)
- Degenerate Quantum Gases with Spin-Orbit Coupling
- Universal few-body physics and cluster formation
- Synthetic 3D Spin-Orbit Coupling
- Unconventional states of bosons with synthetic spin-orbit coupling
- Spin-orbit coupling induced quantum droplet in ultracold Bose-Fermi mixtures
- Modified Bethe-Peierls boundary condition for ultracold atoms with Spin-Orbit coupling
- Universal Trimers induced by Spin-Orbit Coupling in Ultracold Fermi Gases
- Interatomic collisions in two-dimensional and quasi-two-dimensional confinements with spin-orbit coupling
- Exotic pairing states in a Fermi gas with three-dimensional spin-orbit coupling
- Superfluid and magnetic states of an ultracold Bose gas with synthetic three-dimensional spin-orbit coupling in an optical lattice
- Flow enhanced pairing and other novel effects in Fermi gases in synthetic gauge fields
- Scattering and effective interactions of ultracold atoms with spin-orbit coupling
- Stability of Excited Dressed States with Spin-Orbit Coupling
- BCS-BEC crossover in three-dimensional Fermi gases with spherical spin-orbit coupling
- Superfluidity and collective modes in Rashba spin-orbit coupled Fermi gases
- Universal Borromean Binding in Spin-Orbit Coupled Ultracold Fermi Gases
- Collective excitations across the BCS-BEC crossover induced by a synthetic Rashba spin-orbit coupling
- Ultracold collision in the presence of synthetic spin-orbit coupling
- Short range asymptotic behavior of the wave-functions of interacting spin-half fermionic atoms with spin-orbit coupling: a model study
- Generating Giant Vortex in a Fermi Superfluid via Spin-Orbital-Angular-Momentum Coupling
- Dissipation-facilitated molecules in a Fermi gas with non-Hermitian spin-orbit coupling
- Harmonically trapped two-atom systems: Interplay of short-range s-wave interaction and spin-orbit coupling
- Supersolid Stripes Enhanced by Correlations in a Raman Spin-Orbit-Coupled System
- General ultracold scattering formalism with isotropic spin orbit coupling
- Contact theory for spin-orbit-coupled Fermi gases
- Nature of polaron-molecule transition in Fermi polarons
- Three-Dimensional Spin-Orbit Coupling in a Trap
- Radio-frequency spectroscopy of weakly bound molecules in spin-orbit coupled atomic Fermi gases
- Spin-orbital-angular-momentum-coupled quantum gases
- Scattering framework for two particles with isotropic spin-orbit coupling applicable to all energies
- Diffusion Monte Carlo methods for Spin-Orbit-Coupled ultracold Bose gases
- Efimov physics and universal trimer in spin-orbit coupled ultracold atomic mixtures
- Emergent Gauge Field for a Chiral Bound State on Curved Surface
- Coupled Ferromagnetic and Nematic Ordering of Fermions in an Optical Flux Lattice
- Short-range correlations in dilute atomic Fermi gases with spin-orbit coupling
- Analytical coupled-channels treatment of two-body scattering in the presence of three-dimensional isotropic spin-orbit coupling
- Few-body physics of ultracold atoms and molecules with long-range interactions
- Universal Relations of Ultracold Fermi Gases with Arbitrary Spin-Orbit Coupling
- Universal relations for spin-orbit coupled Fermi gas near an s-wave resonance
- Three-component Fulde-Ferrell superfluids in a two-dimensional Fermi gas with spin-orbit coupling
- Universal relations for spin-orbit-coupled Fermi gases in two and three dimensions
- Two-body bound state of ultracold Fermi atoms with two-dimensional spin-orbit coupling
- Multichannel Molecular State and Rectified Short-range Boundary Condition for Spin-orbit Coupled Ultracold Fermions Near p-wave Resonances
- Universal relations for hybridized - and -wave interactions from spin-orbital coupling
- Magnetic and nematic phases in a Weyl type spin-orbit-coupled spin-1 Bose gas
- Three-boson spectrum in the presence of 1D spin-orbit coupling: Efimov's generalized radial scaling law
- Feshbach Resonance in a Synthetic Non-Abelian Gauge Field
- Energetics and structural properties of two- and three-boson systems in the presence of 1D spin-orbit coupling
- Universal scattering phase shift in the presence of spin-orbit coupling
- Ultra-cold Collisions between Spin-Orbit-Coupled Dipoles: General Formalism and Universality
- Pseudopotentials for Two-dimentional Ultracold Scattering in the Presence of Synthetic Spin-orbit-coupling