Ohmic Reservoir-based non-Markovianity and Quantum Speed Limit Time
Abstract
We study the non-Markovianity and quantum speedup of a two-level atom (quantum system of interest) in a dissipative Jaynes-Cumming model, where the atom is embedded in a single-mode cavity, which is leaky being coupled to an external reservoir with Ohmic spectral density. We obtain the non-Markovianity characterized by using the probability of the atomic excited state and the negative decoherence rate in the time-local master equation. We also calculate the quantum speed limit time (QSLT) of the evolution process of the atom. The results show that, the atom-cavity coupling is the main physical reasons of the transition from Markovian to non-Markovian dynamics and the transition from no speedup to speedup process, and the critical value of this sudden transition only depends on the Ohmicity parameter. The atom-cavity coupling and the appropriate reservoir parameters can effectively improve the non-Markovianity in the dynamics process and speed up the evolution of the atom. Moreover, the initial non-Markovian dynamics first turns into Markovian and then back to non-Markovian with increasing the atom-cavity coupling under certain condition. Finally, the physical interpretation is provided.
Keywords
Cite
@article{arxiv.2003.09774,
title = {Ohmic Reservoir-based non-Markovianity and Quantum Speed Limit Time},
author = {Hong-Mei Zou and Rongfang Liu and Dan Long and Jianhe Yang and Danping Lin},
journal= {arXiv preprint arXiv:2003.09774},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1911.04839