Quantum speed-up based on classical-field and moving-qubit

TL;DR

This paper models a moving qubit in a multimode cavity driven by a classical field, analyzing how classical fields and qubit velocity influence quantum speed limits and non-Markovian dynamics, revealing conditions for quantum speed-up.

Contribution

It provides an analytic solution for the density operator of a moving, classical-field-driven qubit and explores how classical fields and velocity affect quantum speed limits and non-Markovianity.

Findings

Classical field can mitigate the velocity's effect on quantum evolution.

Strong coupling and classical driving enhance non-Markovianity and speed up qubit evolution.

Transition to non-Markovian dynamics is key to quantum speed-up.

Abstract

In this work, we provide a model of a moving-qubit interacting with the multimode cavity, where the qubit is driven by the classical field. We obtain the analytic solution of the density operator of the qubit, then investigate the quantum speed limit time(QSLT) and the non-Markovianity based on the classical field and the moving-velocity. The results show that the transition from Markovian to non-Markovian dynamics is the intrinsic physical reason of the quantum speed-up process, both of the driving field and the strong coupling can enhance the non-Markovianity in the dynamics process and speed up the evolution of the qubit, but the moving velocity of the qubit can decrease the non-Markovianity in dynamics process and delay the evolution of qubit. To some extent, the classical field can reduce the effect of the moving velocity of the qubit on the quantum evolution process.