Quantum Speed Limit Bounds in an Open Quantum Evolution
arXiv:1609.04396 · doi:10.1103/PhysRevA.94.052125
Abstract
Quantum mechanics dictates bounds for the minimal evolution time between predetermined initial and final states. Several of these Quantum Speed Limit (QSL) bounds were derived for non-unitary dynamics using different approaches. Here, we perform a systematic analysis of the most common QSL bounds in the damped Jaynes-Cummings model, covering the Markovian and non-Markovian regime. We show that only one of the analysed bounds cleaves to the essence of the QSL theory outlined in the pioneer works of Mandelstam \& Tamm and Margolus \& Levitin in the context of unitary evolutions. We also show that all of QSL bounds analysed reflect the fact that in our model non-Markovian effects speed up the quantum evolution. However, it is not possible to infer the Markovian or non-Markovian behaviour of the dynamics only analysing the QSL bounds.
10 pages, 7 figures
References in corpus (15)
- Advances in Quantum Metrology
- Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
- Ultimate physical limits to computation
- Quantum speed limit for physical processes
- Quantum speed limit for non-Markovian dynamics
- Quantum speed limits in open system dynamics
- Quantum limits to dynamical evolution
- Stochastic wave function method for non-Markovian quantum master equations
- The fundamental limit on the rate of quantum dynamics: the unified bound is tight
- Generalized Geometric Quantum Speed Limits
- Foundations and Measures of Quantum Non-Markovianity
- An effective method of calculating the non-Markovianity for single channel open systems
- Optimal estimation of one parameter quantum channels
- Measuring and using non-markovianity
- Quantum Evolution Time Limit: a General Non-Markovian Bound
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