  The extreme slowing down associated with glass formation in experiments and
in simulations results in serious difficulties to prepare deeply quenched, well
annealed, glassy material. Recently, methods to achieve such deep quenching
were proposed, including vapor deposition on the experimental side and "Swap
Monte Carlo" and oscillatory shearing on the simulation side. The relation
between the resulting glasses under different protocols remains unclear. Here
we show that oscillatory shear and "Swap Monte Carlo" result in
thermodynamically equivalent glasses sharing the same statistical mechanics and
similar mechanical responses under external strain.
