Eigenstate Thermalization Hypothesis and Quantum Jarzynski Relation for   Pure Initial States
  Since the first suggestion of the Jarzynski equality many derivations of this equality have been presented in both, the classical and the quantum context. While the approaches and settings greatly differ from one to another, they all appear to rely on the initial state being a thermal Gibbs state. Here, we present an investigation of work distributions in driven isolated quantum systems, starting off from pure states that are close to energy eigenstates of the initial Hamiltonian. We find that, for the nonintegrable system in quest, the Jarzynski equality is fulfilled to good accuracy. 
F. Jin, R. Steinigeweg, H. De Raedt, K. Michielsen, M. Campisi, and J.   Gemmer
quant-ph cond-mat.stat-mech cond-mat.str-el physics.comp-ph