Out-of-equilibrium dynamics arising from slow round-trip variations of Hamiltonian parameters across quantum and classical critical points

  title={Out-of-equilibrium dynamics arising from slow round-trip variations of Hamiltonian parameters across quantum and classical critical points},
  author={Francesco Tarantelli and Ettore Vicari},
  journal={Physical Review B},
We address the out-of-equilibrium dynamics of many-body systems subject to time-dependent round-trip protocols across quantum and classical (thermal) phase transitions. They are realized by slowly changing one relevant parameter w across its critical point w c = 0, linearly in time with a large time scale t s , from w i < 0 to w f > 0 and then back to w i < 0, thus entailing multiple passages through the critical point. Analogously to the one-way Kibble-Zurek protocols across a critical point… 

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