The cubesat Lightsail-2 has been deployed and has communicated with ground stations. See The Planetary Society's LightSail 2 Healthy as Mission Team Continues Spacecraft Checkouts
In the near future, the large solar sail will be deployed, and then it will be used in orbit-raising maneuvers.
For traditional, rocket-based propulsive apoapsis-raising maneuvers, due to the Oberth Effect impulsive boosts at periapsis where velocity is highest are the most efficient use of a given amount of impulse.
The animation shown in the video shows the solar sail being used to intercept sunlight (from the left, hat-tip to @Jack's comment) during the half of the elliptical orbit closest from the Earth.
Question: Does the Oberth effect apply to this kind of use of solar sails in the same general qualitative way as it does to impulsive maneuvers; being most efficient during the parts of the orbit closer to periapsis?
somewhat related: Will the Planetary Society's LightSail spacecraft's solar panels be articulated during each orbit?
02:36 (warning, really loud music!)