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Phase Diagram of One-Dimensional Bosons in Disordered Potential. E. Altman, Y. Kafri, A.P., G. Refael, PRL 2004, 2008. . . . . . . . . . . . . . . . . . . . . . . . . Plan of the talk. Thermalization in isolated systems. Connection of quantum and thermodynamic adiabatic theorems .Microscopic expressions for the heat and the diagonal entropy. Laws of thermodynamics and reversibility..
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