Quantum speed limit of Jaynes-Cummings model with detuning for arbitrary initial states

TL;DR

This paper investigates the quantum speed limit of the Jaynes-Cummings model with detuning, revealing how detuning, spectral density, and initial state coherence influence quantum speedup in open systems.

Contribution

It provides new insights into how detuning and initial state coherence affect the quantum speed limit in the Jaynes-Cummings model with non-Markovian dynamics.

Findings

Increasing detuning leads to quantum speedup even in Markovian regimes.

The QSL inversely relates to the initial excited state population.

Maximal initial coherence saturates the quantum speed limit bound.

Abstract

The quantum speed limit (QSL) of the Jaynes-Cummings model with detuning for arbitrary initial states is investigated. We mainly focus on the influences of the detuning, width of Lorentzian spectral density, and coherence of the initial state on the non-Markovian speedup evolution in an open system. It is found that even in the Markovian regime, increasing the detuning parameter leads to quantum speedup. Moreover, we reveal that the QSL has an inverse relation with the population of the initial excited state. Notably, we show that the QSL depends on the quantum coherence of the system's initial state such that the maximal coherent state can saturate its bound.