A unified approach to the derivation of work theorems for equilibrium and steady-state, classical and quantum Hamiltonian systems

Details A unified approach to the derivation of work theorems for equilibrium and steady-state, classical and quantum Hamiltonian systems A unified approach to the derivation of work theorems for equilibrium and steady-state, classical and quantum Hamiltonian systems

2007-11-27

arxiv.org/abs/0711.4176v2

Phys. Rev. E 78, 011116 (2008)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.78.011116

We present a unified and simple method for deriving work theorems for classical and quantum Hamiltonian systems, both under equilibrium conditions and in a steady state. Throughout the paper, we adopt the partitioning of the total Hamiltonian into the system part, the bath part, and their coupling. We rederive many equalities which are available in the literature and obtain a number of new equalities for nonequilibrium classical and quantum systems. Our results can be useful for determining partition functions and (generalized) free energies through simulations and/or measurements performed on nonequilibrium systems.

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