A Framework for Sequential Measurements and General Jarzynski Equations

  title={A Framework for Sequential Measurements and General Jarzynski Equations},
  author={Heinz-J{\"u}rgen Schmidt and Jochen Gemmer},
  journal={Zeitschrift f{\"u}r Naturforschung A},
  pages={265 - 284}
  • H. SchmidtJ. Gemmer
  • Published 27 May 2019
  • Physics, Mathematics
  • Zeitschrift für Naturforschung A
Abstract We formulate a statistical model of two sequential measurements and prove a so-called J-equation that leads to various diversifications of the well-known Jarzynski equation including the Crooks dissipation theorem. Moreover, the J-equation entails formulations of the Second Law going back to Wolfgang Pauli. We illustrate this by an analytically solvable example of sequential discrete position–momentum measurements accompanied with the increase of Shannon entropy. The standard form of… 

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