Thermodynamics and the quantum speed limit in the non-Markovian regime
Arpan Das, Anindita Bera, Sagnik Chakraborty, Dariusz Chruściński
Abstract
The quantum speed limit for open quantum systems in the non-Markovian regime is analyzed. We provide a 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 a time-local generator. Our analysis is illustrated by three paradigmatic examples of qubit evolution: amplitude damping, pure dephasing, and the eternally non-Markovian evolution.
Topics & Concepts
Statistical physicsDephasingMarkov processQuantumTime evolutionQubitPhysicsEntropy (arrow of time)Entropy productionUpper and lower boundsDetailed balanceLimit (mathematics)Quantum mechanicsMathematicsMathematical analysisStatisticsAdvanced Thermodynamics and Statistical MechanicsQuantum Information and CryptographyQuantum Mechanics and Applications