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The extreme slowing down associated with glass formation in experiments andin simulations results in serious difficulties to prepare deeply quenched, wellannealed, glassy material. Recently, methods to achieve such deep quenchingwere proposed, including vapor deposition on the experimental side and "SwapMonte Carlo" and oscillatory shearing on the simulation side. The relationbetween the resulting glasses under different protocols remains unclear. Herewe show that oscillatory shear and "Swap Monte Carlo" result inthermodynamically equivalent glasses sharing the same statistical mechanics andsimilar mechanical responses under external strain.

Thermodynamic Equivalence of Cyclic Shear and Deep Cooling in Glass-Formers