English

Thermodynamics and the quantum speed limit in the non-Markovian regime

Quantum Physics 2021-10-11 v2

Abstract

Quantum speed limit (QSL) for open quantum systems in the non-Markovian regime is analyzed. We provide a the lower bound for the time required to transform an initial state to a final state in terms of thermodynamic quantities such as the energy fluctuation, entropy production rate and dynamical activity. Such bound was already analyzed for Markovian evolution satisfying detailed balance condition. Here we generalize this approach to deal with arbitrary evolution governed by time-local generator. Our analysis is illustrated by three paradigmatic examples of qubit evolution: amplitude damping, pure dephasing, and the eternally non-Markovian evolution.

Keywords

Cite

@article{arxiv.2105.15083,
  title  = {Thermodynamics and the quantum speed limit in the non-Markovian regime},
  author = {Arpan Das and Anindita Bera and Sagnik Chakraborty and Dariusz Chruściński},
  journal= {arXiv preprint arXiv:2105.15083},
  year   = {2021}
}

Comments

10 pages, 4 figures. Close to published version