Modified Bethe-Peierls boundary condition for ultracold atoms with Spin-Orbit coupling

Abstract

We show that the Bethe-Peierls (BP) boundary condition should be modified for ultracold atoms with spin-orbit (SO) coupling. Moreover, we derive a general form of the modified BP boundary condition, which is applicable to a system with arbitrary kind of SO coupling. In the modified BP condition, an anisotropic term appears and the inter-atomic scattering length is normally SO-coupling dependent. For the special system in the current experiments, however, it can be proved that the scattering length is SO-coupling independent, and takes the same value as in the case without SO coupling. Our result is helpful for the study of both few-body and many-body physics in SO-coupled ultracold gases.

8 pages, significant improvement is made in the current version

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Cited by in corpus (34)

• Degenerate Quantum Gases with Spin-Orbit Coupling
• Experimental Determination of the Finite-Temperature Phase Diagram of a Spin-Orbit Coupled Bose Gas
• Exotic pairing states in a Fermi gas with three-dimensional spin-orbit coupling
• 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
• 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
• Harmonically trapped two-atom systems: Interplay of short-range s-wave interaction and spin-orbit coupling
• Unconventional Fulde-Ferrell-Larkin-Ovchinnikov pairing states in a Fermi gas with spin-orbit coupling
• Contact theory for spin-orbit-coupled 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
• 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
• Validity of single-channel model for a spin-orbit coupled atomic Fermi gas near Feshbach resonances
• Density Dependent Spin-Orbit Coupling in Degenerate Quantum Gases
• Accurate projective two-band description of topological superfluidity in spin-orbit-coupled Fermi gases
• Universal relations for spin-orbit coupled Fermi gas near an s-wave resonance
• Universal Relations of Ultracold Fermi Gases with Arbitrary Spin-Orbit Coupling
• Universal relations for hybridized $s$- and $p$-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
• BCS pairing state of a Dilute Bose Gas with Spin-Orbit Coupling
• Universal relations for spin-orbit-coupled Fermi gases in two and three dimensions
• K-matrix formulation of two-particle scattering in a wave guide in the presence of one-dimensional spin-orbit coupling
• BCS-BEC crossover and quantum phase transition in an ultracold Fermi gas under spin-orbit coupling
• Spin-orbit-induced bound state and molecular signature of the degenerate Fermi gas in a narrow Feshbach resonance
• Critical temperature in the BCS-BEC crossover with spin-orbit coupling
• Feshbach Resonance in a Synthetic Non-Abelian Gauge Field
• Ultra-cold Collisions between Spin-Orbit-Coupled Dipoles: General Formalism and Universality
• Universal scattering phase shift in the presence of spin-orbit coupling
• Triplet character of 2D-fermion dimers arising from $s$-wave attraction via spin-orbit coupling and Zeeman splitting
• Pseudopotentials for Two-dimentional Ultracold Scattering in the Presence of Synthetic Spin-orbit-coupling