  To reconstruct thermodynamics based on the microscopic laws is one of the
most important unfulfilled goals of statistical physics. Here, we show that the
first law and the second law for adiabatic processes are derived from an
assumption that "probability distributions of energy in Gibbs states satisfy
large deviation", which is widely accepted as a property of thermodynamic
equilibrium states. We define an adiabatic transformation as a randomized
energy-preserving unitary transformations on the many-body systems and the work
storage. As the second law, we show that an adiabatic transformation from a set
of Gibbs states to another set of Gibbs states is possible if and only if the
regularized von Neumann entropy becomes large. As the first law, we show that
the energy loss of the thermodynamic systems during the adiabatic
transformation is stored in the work storage as "work," in the following
meaning; (i) the energy of the work storage takes certain values
macroscopically, in the initial state and the final state. (ii) the entropy of
the work storage in the final state is macroscopically equal to the entropy of
the initial state. As corollaries, our results give the principle of maximam
work and the first law for the isothermal processes.
