General ultracold scattering formalism with isotropic spin orbit coupling
arXiv:1412.4420 · doi:10.1103/PhysRevA.91.022706
Abstract
A general treatment of ultracold two-body scattering in the presence of isotropic spin-orbit coupling (SOC) is presented. Owing to the mixing of different partial wave channels, scattering with SOC is in general a coupled multichannel problem. A systematic method is introduced to analytically solve a class of coupled differential equations by recasting the coupled channel problem as a simple eigenvalue problem. The exact Green's matrix in the presence of SOC is found, which readily gives the scattering solutions for any two identical particles in any total angular momentum subspace having negligible center of mass momentum. Application of this formalism to two spin-1 bosons shows the ubiquitous low energy threshold behavior for systems with isotropic SOC. A modified threshold behavior shows up, which does not occur for the spin-orbit coupled spin-1/2 system. We also confirm the parity-breaking mechanism for the spontaneous emergency of handedness, that has been proposed by Duan et. al. [1]. Additionally, a two-body bound state is found for any arbitrarily small and negative scattering length. Our study sheds light on the few-body side of SOC physics and provides one step towards understanding ultracold scattering in a non-Abelian gauge field.
10 pages, 9 figures
References in corpus (2)
Cited by in corpus (14)
- Universal few-body physics and cluster formation
- Spin-orbit coupling induced quantum droplet in ultracold Bose-Fermi mixtures
- Spin structure of harmonically trapped one-dimensional atoms with spin-orbit coupling
- Scattering framework for two particles with isotropic spin-orbit coupling applicable to all energies
- Emergent Gauge Field for a Chiral Bound State on Curved Surface
- Analytical coupled-channels treatment of two-body scattering in the presence of three-dimensional isotropic spin-orbit coupling
- Energy spectra of two interacting fermions with spin-orbit coupling in a harmonic trap
- Universal Relations of Ultracold Fermi Gases with Arbitrary Spin-Orbit Coupling
- Multichannel Molecular State and Rectified Short-range Boundary Condition for Spin-orbit Coupled Ultracold Fermions Near p-wave Resonances
- Quantum collision theory in flat bands
- Three-boson spectrum in the presence of 1D spin-orbit coupling: Efimov's generalized radial scaling law
- Ultra-cold Collisions between Spin-Orbit-Coupled Dipoles: General Formalism and Universality
- Energetics and structural properties of two- and three-boson systems in the presence of 1D spin-orbit coupling
- Pseudopotentials for Two-dimentional Ultracold Scattering in the Presence of Synthetic Spin-orbit-coupling