Accelerated adiabatic passage in cavity magnomechanics

TL;DR

This paper introduces two accelerated adiabatic-passage protocols for fast and robust quantum state transfer in cavity magnomechanics, enhancing quantum memory applications by addressing systematic errors and dissipation effects.

Contribution

It develops novel protocols based on counterdiabatic Hamiltonian and inverse engineering, applicable to continuous-variable systems, with a unique construction of the counterdiabatic Hamiltonian.

Findings

Protocols enable faster state transfer with robustness against errors.

Counterdiabatic Hamiltonian constructed using creation and annihilation operators.

Analysis includes effects of dissipation and counter-rotating interactions.

Abstract

Cavity magnomechanics provides a readily-controllable hybrid system, that consisted of cavity mode, magnon mode, and phonon mode, for quantum state manipulation. To implement a fast-and-robust state transfer between the hybrid photon-magnon mode and the phonon mode, we propose two accelerated adiabatic-passage protocols individually based on the counterdiabatic Hamiltonian for transitionless quantum driving and the Levis-Riesenfeld invariant for inverse engineering. Both the counterdiabatic Hamiltonian and the Levis-Riesenfeld invariant generally apply to the continuous-variable systems with arbitrary target states. It is interesting to find that our counterdiabatic Hamiltonian can be constructed in terms of the creation and annihilation operators rather than the system-eigenstates and their time-derivatives. Our protocol can be optimized with respect to the stability against the systematic errors of coupling strength and frequency detuning. It contributes to a quantum memory for photonic and magnonic quantum information. We also discuss the effects from dissipation and the counter-rotating interactions.