Quantum speed limit for the maximum coherent state under squeezed environment

TL;DR

This paper investigates how squeezed environments affect the quantum speed limit time of quantum systems, revealing dependencies on squeezing parameters, phase, and coupling strength, with implications for quantum control.

Contribution

It introduces analysis of quantum speed limits under squeezed environments for two models, highlighting the influence of squeezing parameters and environment interactions.

Findings

Quantum speed limit time increases with squeezing parameter r.

Symmetry in speed limit time about phase θ=π.

Dephasing model's speed limit depends on dephasing rate and boundary of acceleration.

Abstract

The quantum speed limit time for quantum system under squeezed environment is studied. We consider two typical models, the damped Jaynes-Cummings model and the dephasing model. For the damped Jaynes-Cummings model under squeezed environment, we find that the quantum speed limit time becomes larger with the squeezed parameter $r$ increasing and indicates symmetry about the phase parameter value $\theta=\pi$. Meanwhile, the quantum speed limit time can also be influenced by the coupling strength between the system and environment. However, the quantum speed limit time for the dephasing model is determined by the dephasing rate and the boundary of acceleration region that interacting with vacuum reservoir can be broken when the squeezed environment parameters are appropriately chosen.