WetheoreticallyinvestigatetheenergybandstructureandJosephsondynamicsofaspin-orbitcoupledBose–Einsteincondensateinadouble-wellpotential.WestudytheenergybandstructureandthecorrespondingtunnelingdynamicsofthesystembyproperlyadjustingtheSOcoupling,Ramancoupling,Zeemanfieldandatomicinteractions.ThecoupledeffectsofSOcoupling,Ramancoupling,Zeemanfieldandatomicinteractionsleadtotheappearanceofcomplexenergybandstructureincludingtheloopstructure.Particularly,theemergenceoftheloopstructureinenergybandalsodependsonSOcoupling,Ramancoupling,Zeemanfieldandatomicinteractions.Correspondingly,theJosephsondynamicsofthesystemarestronglyrelatedtotheenergybandstructure.Especially,theemergenceoftheloopstructureresultsincomplextunnelingdynamics,includingsuppression-revivaltransitionsandself-trappingofatomstransferbetweentwospinstatesandtwowells.Thisengineeringprovidesapossiblemeansforstudyingenergylevelandcorrespondingdynamicsoftwo-speciesSOcoupledBECs.
