Abstract
Great efforts have been made to investigate photon's orbital angular momentum (OAM) due to its comprehensive applications ranging from micro-manipulation to biosciences. Recently, it has been proposed that the unlimited OAM number can be used as synthetic degrees of freedom and can be used for quantum simulation. Here, we demonstrate a vital step in manipulating such kind of unlimited degree of freedom simultaneously. We construct an optical resonator with four spherical mirrors, which is predicted to support lights in different Laguerre-Gaussian modes with well-defined OAMs. The transmitted peaks of more than 46 Laguerre-Gaussian modes are observed to be overlapped within the bandwidth of the resonator. The transmitted beam profiles are further obtained by locking the resonator. Our experimental results establish the critical techniques to manipulate multiple-OAM degrees of freedom, which are useful for quantum simulation.
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