  Many physical, chemical and biological systems can be modeled by means of
random-frequency harmonic oscillator systems. Even though the noise-free
evolution of harmonic oscillator systems can be easily implemented, the way to
experimentally introduce, and control, noise effects due to a surrounding
environment remains a subject of lively interest. Here, we experimentally
demonstrate a setup that provides a unique tool to generate a fully tunable
environment for classical electrical oscillator systems. We illustrate the
operation of the setup by implementing the case of a damped random-frequency
harmonic oscillator. The high degree of tunability and control of our scheme is
demonstrated by gradually modifying the statistics of the oscillator's
frequency fluctuations. This tunable system can readily be used to
experimentally study interesting noise effects, such as noise-induced
transitions in systems driven by multiplicative noise, and noise-induced
transport, a phenomenon that takes place in quantum and classical coupled
oscillator networks.
