Bounds in nonequilibrium quantum dynamics

  title={Bounds in nonequilibrium quantum dynamics},
  author={Zongping Gong and Ryusuke Hamazaki},
  journal={International Journal of Modern Physics B},
We review various bounds concerning out-of-equilibrium dynamics in few-level and many-body quantum systems. We primarily focus on closed quantum systems but will also mention some related results for open quantum systems and classical stochastic systems. We start from the speed limits, the universal bounds on the speeds of (either quantum or classical) dynamical evolutions. We then turn to review the bounds that address how good and how long would a quantum system equilibrate or thermalize… 

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