Vector quantum steering in pulsed optomechanics

Quantum steering plays a key role for quantum technologies, such as one-way quantum computation and quantum communication. Here, we consider a vector cavity optomechanical scheme to create quantum steering between two orthogonal polarized lights and a mechanical vibration, where cavity modes are driven by short laser pulses. By controlling the polarization behavior of a light field, we not only manipulate the steering of the vibration via polarized light, but also reversibly switch between ordinary tripartite steering and collective steering. In addition, we find that bipartite steering is more sensitive to thermal noise than tripartite steering. As a result, collective steering can be achieved within a larger parameter range. Controllable quantum steering with such a vectorial device may provide effective resources to build up steered networks.