The spin angular momentum in an elliptically polarized beam of light plays several noteworthy roles in optical traps. It contributes to the linear momentum density in a non-uniform beam, and thus to the radiation pressure exerted on illuminated objects. It can be converted into orbital angular momentum, and thus can exert torques even on optically isotropic objects. Its curl, moreover, contributes to both forces and torques without spin-to-orbit conversion. We demonstrate these effects experimentally by tracking colloidal spheres diffusing in elliptically polarized optical tweezers. Clusters of spheres circulate determinisitically about the beam's axis. A single sphere, by contrast, undergoes stochastic Brownian vortex circulation that maps out the optical force field.Optical forces arising from the polarization and polarization gradients in vector beams of light constitute a new frontier for optical micromanipulation. Linearly polarized light has been used to orient birefringent objects in conventional optical tweezers [1][2][3] and circular polarization has been used to make them rotate [1,[3][4][5][6][7]. More recently, optically isotropic objects also have been observed to circulate in circularly polarized optical traps [8][9][10], through a process described as spin-to-orbit conversion [10][11][12][13][14]. Here, we present a general formulation of the linear and angular momentum densities in vector beams of light that clarifies how the amplitude, phase and polarization profiles contribute to the forces and torques that such beams exert on illuminated objects. This formulation reveals that the curl of the spin angular momentum can exert torques on illuminated objects without contributing to the light's orbital angular momentum, and that this effect dominates spin-to-orbit conversion in circularly polarized optical tweezers. Predicted properties of polarization-dependent optical forces are confirmed through observations of a previously unreported mode of Brownian vortex circulation for an isotropic sphere in elliptically polarized optical tweezers.The vector potential describing a beam of light of angular frequency ω may be written aswhere u(r) is the real-valued amplitude, ϕ(r) is the realvalued phase andǫ(r) is the complex-valued polarization vector at position r. This description is useful for practical applications because u(r), ϕ(r) andǫ(r) may be specified independently, for example using holographic techniques [3,[15][16][17]]. Poynting's theorem then yields the time-averaged momentum densitywhere µ is the permeability of the medium and c is the speed of light in the medium. The momentum density gives rise to the radiation pressure that the light exerts on illuminated objects and may be expressed in terms of the experimentally accessible parameters aswhere I(r) = u 2 (r) is the intensity and whereis the spin angular momentum density in a beam of light with local helicityThe projection of σ(r) onto the propagation direction k(r) is related to the Stokes parameters of the beam [18] by σ(r) ·k(r) = S 3 (...