Optimal entanglement generation in optomechanical systems via Krotov control of covariance matrix dynamics

TL;DR

This paper demonstrates how optimal control via the Krotov algorithm can enhance entanglement generation in optomechanical systems by manipulating covariance matrix dynamics, even under spectral constraints and considering non-Markovian effects.

Contribution

It introduces a novel application of Krotov control to optimize entanglement in continuous variable systems without Fock basis cutoffs, accounting for spectral constraints and environment memory effects.

Findings

Entanglement can be reliably generated by controlling laser detuning.

Spectral constraints still allow effective control of entanglement.

Memory effects in non-Markovian environments help preserve entanglement.

Abstract

We investigated the optimal control of a continuous variable system, focusing on entanglement generation in an optomechanical system without utilizing Fock basis cutoffs. Using the Krotov algorithm to optimize the dynamics of the covariance matrix, we illustrated how to design a control objective function to manipulate the dynamics of the system to generate a desirable target state. We showed that entanglement between the macroscopic mechanical mirror and the quantum optical cavity can be reliably generated through imposing the control on the detuning of the external laser field. It has be shown that the control may be still achieved when imposing spectral constraints on the external field to restrict it to low-frequency components. In addition, we systematically studies the effects of quantum control on non-Markovian open system dynamics. We observed that memory effects can play a beneficial role in mitigating the detrimental impact of environmental noises. Specifically, the entanglement generated shows reduced decay in the presence of these memory effects.