Cavity-Optomechanics with Spin-Orbit Coupled Spinor Bose-Einstein Condensate
Kashif Ammar Yasir, Wu-Ming Liu
Abstract
Cavity-optomechanics, an exploitation of mechanical-effects of light to couple optical-field with mechanical-objects, has made remarkable progress. Besides, spin-orbit (SO)-coupling, interaction between spin of a quantum-particle and its momentum, has provided foundation to analyze various phenomena like spin-Hall effect and topological-insulators. However, SO-coupling and corresponding topological-features have not been examined in optical-cavity with one vibrational-mirror. Here we report cavity-optomechanics with SO-coupled Bose-Einstein condensate, inducing non-Abelian gauge-field in cavity. We ascertain the influences of SO-coupling and long-range atomic-interactions on low-temperature dynamics which can be experimentally measured by maneuvering area underneath density-noise spectrum. It is detected that not only optomechanical-coupling is modifying topological properties of atomic dressed-states but SO-coupling induced topological-effects are also enabling us to control effective-temperature of mechanical-mirror and dynamic structure factor, which is measurable by detecting neutron-scattering. Our findings are testable in a realistic setup and provide foundations to manipulate SO-coupling in the field of quantum optics and quantum computation.