Functional field integral approach to quantum work

  title={Functional field integral approach to quantum work},
  author={Jian-Jun Dong and Yi-feng Yang},
  journal={Physical Review B},
We introduce the functional field integral approach to study the statistics of quantum work for arbitrary nonequilibrium process. For a general bilinear Hamiltonian with a sudden quench of the control parameters, we derive the analytical formalism for the characteristic function, the mean work density and mean irreversible work density. We show that the mean irreversible work may be used to detect quantum phase transitions and exhibit characteristic scaling at the quantum critical point for a… 

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