Scattering and effective interactions of ultracold atoms with spin-orbit coupling
arXiv:1211.6919 · doi:10.1103/PhysRevA.87.053626
Abstract
We derive an analytical expression for the scattering amplitude of two ultracold atoms of arbitrary spin and with general spin-orbit (SO) coupling, on the basis of our recent work (Phys. Rev. A \textbf{86}, 053608 (2012)). As an application, we demonstrate that SO coupling can induce scattering resonance in the case with finite scattering length. The same approach can be applied to calculate the two-body bound state of SO-coupled ultracold atoms. For the ultracold spin-1/2 fermi gases in three- or two- dimensional systems with SO coupling, we also obtain the renormalization relation of effective contact interaction with momentum cutoff, as well as the applicability of Huang-Yang pseudo-potential.
12 pages, 2 figures
References in corpus (16)
- Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
- Spin-Orbit Coupled Spinor Bose-Einstein Condensates
- A Bose-Einstein Condensate in a Uniform Light-induced Vector Potential
- Spin-orbit coupled Bose-Einstein condensates
- Effect of Induced Spin-Orbit Coupling for Atoms via Laser Fields
- BCS-BEC crossover induced by a synthetic non-Abelian gauge field
- Finite-Momentum Dimer Bound State in Spin-Orbit Coupled Fermi Gas
- Universal impurity-induced bound state in topological superfluids
- Modified Bethe-Peierls boundary condition for ultracold atoms with Spin-Orbit coupling
- Molecule and polaron in a highly polarized two-dimensional Fermi gas with spin-orbit coupling
- Stability of Excited Dressed States with 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
- Emergence of Topological and Strongly Correlated Ground States in trapped Rashba Spin-Orbit Coupled Bose Gases
- BCS-BEC crossover at finite temperature in spin-orbit coupled Fermi gases
- Validity of single-channel model for a spin-orbit coupled atomic Fermi gas near Feshbach resonances
Cited by in corpus (28)
- Degenerate Quantum Gases with Spin-Orbit Coupling
- A Raman-induced Feshbach resonance in an effectively single-component Fermi gas
- Softening of Roton and Phonon Modes in a Bose-Einstein Condensate with Spin-Orbit Coupling
- Scattering Theory for Floquet-Bloch States
- A long-lived spin-orbit-coupled degenerate dipolar Fermi gas
- Universal Trimers induced by Spin-Orbit Coupling in Ultracold Fermi Gases
- Effects of Spin-Orbit Coupling on Jaynes-Cummings and Tavis-Cummings Models
- Harmonically trapped two-atom systems: Interplay of short-range s-wave interaction and spin-orbit coupling
- Harmonically Trapped Atoms with Spin-Orbit Coupling
- Dissipation-facilitated molecules in a Fermi gas with non-Hermitian spin-orbit coupling
- General ultracold scattering formalism with isotropic spin orbit coupling
- 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
- Center of Mass Momentum Dependent Interaction Between Ultracold Atoms
- Center-of-mass-momentum-dependent interaction between ultracold atoms
- 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
- Tuning Feshbach resonance in cold atomic gases with inter-channel coupling
- Density Dependent Spin-Orbit Coupling in Degenerate Quantum Gases
- Universal Relations of Ultracold Fermi Gases with Arbitrary Spin-Orbit Coupling
- Universal relations for hybridized - and -wave interactions from spin-orbital coupling
- Multichannel Molecular State and Rectified Short-range Boundary Condition for Spin-orbit Coupled Ultracold Fermions Near p-wave Resonances
- Two-body bound state of ultracold Fermi atoms with two-dimensional spin-orbit coupling
- Spin-Orbit Coupling Induced Resonance in an Ultracold Bose Gas
- Critical temperature in the BCS-BEC crossover with spin-orbit coupling
- Feshbach Resonance in a Synthetic Non-Abelian Gauge Field
- Bound-State Band Reconstruction and Resonance in Spin-1/2 Bose Gas with 1D Spin-Orbit Coupling
- Pseudopotentials for Two-dimentional Ultracold Scattering in the Presence of Synthetic Spin-orbit-coupling