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Crossover of Scaling Behaviors of Work Cumulants in a Driven Gaussian Field Theory
We derive the finite-temperature characteristic function of work (CFW) for a driven $O(N)$ Gaussian field theory and obtain closed-form expressions for all zero-temperature excess-work cumulants. For gapped protocols, we use adiabatic perturbation theory (APT) to derive the $τ_Q^{-2}$ scaling for pr
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