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arXiv:2201.12536 · Physical Review A

Accelerated adiabatic passage in cavity magnomechanics

Shi-fan Qi, Jun Jing

Published May 16, 2022• 19 citations
arXivHTMLPDF

Abstract

Cavity magnomechanics provides a readily controllable hybrid system, consisting of a cavity mode, magnon mode, and phonon mode, for quantum state manipulation and transfer. To implement a fast-and-robust state transfer between the hybrid photon-magnon mode and the phonon mode, we apply two accelerated-adiabatic-passage protocols based on the counterdiabatic Hamiltonian for transitionless quantum driving and the Levis-Riesenfeld invariant for inverse engineering. We construct the counterdiabatic Hamiltonian in a state-resolved way and express it through the creation and annihilation operators rather than the system eigenstates and their time derivatives. We can optimize the invariant-based inverse-engineering protocol with respect to the stability against the systematic errors of the coupling strength and frequency detuning. Both protocols apply for continuous-variable systems with arbitrary target states. We also discuss the decoherence effects from the thermal environment and the counterrotating interactions on both protocols. Our work contributes to the quantum memory for photonic and magnonic quantum information.

DOI
10.1103/physreva.105.053710

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Cavity magnomechanics provides a readily controllable hybrid system, consisting of a cavity mode, magnon mode, and phonon mode, for quantum state manipulation and transfer. To implement a fast-and-robust state transfer between the hybrid photon-magnon mode and the phonon mode, we apply two accelerated-adiabatic-passage protocols based on the counterdiabatic Hamiltonian for transitionless quantum driving and the Levis-Riesenfeld invariant for inverse engineering. We construct the counterdiabatic Hamiltonian in a state-resolved way and express it through the creation and annihilation operators rather than the system eigenstates and their time derivatives. We can optimize the invariant-based inverse-engineering protocol with respect to the stability against the systematic errors of the coupling strength and frequency detuning. Both protocols apply for continuous-variable systems with arbitrary target states. We also discuss the decoherence effects from the thermal environment and the counterrotating interactions on both protocols. Our work contributes to the quantum memory for photonic and magnonic quantum information.
Abstract In this paper, we propose a protocol for realizing quantum state transfer and entanglement generation between two spatially separated magnon modes within a hybrid cavity-magnonic system via dressed-statebased superadiabatic transitionless driving (SATD). The system consists of two identical yttrium iron garnet (YIG) spheres hosted inside a microwave cavity, whose magnon modes couple to the cavity mode through the magnetic dipole interaction. We derive the system's adiabatic dark state to implement stimulated Raman adiabatic passage (STIRAP) for quantum state transfer and entanglement generation. Within the SATD framework, we perform a dressed-state-based unitary transformation to derive a corrected Hamiltonian, which suppresses nonadiabatic transitions and accelerates the system evolution. Numerical simulations demonstrate that the proposed scheme significantly outperforms conventional STIRAP and exhibits robustness against variations in control parameters as well as decoherence effects.
Quantum conversion or interface is one of the most prominent protocols in quantum information processing and quantum state engineering. We propose a photon-phonon conversion protocol in a hybrid magnomechanical system comprising a microwave optical mode, a driven magnon mode, and a mechanical-vibrating mode, which has attracted much interest and is expected to become a building block of the future quantum information network due to its controllability in coupling strengths. The microwave photons in the optical cavity are coupled to the magnons by the Zeeman interaction, and the latter are coupled to the mechanical phonons by the magnetostrictive interaction. With a strong photon-magnon interaction and a strong driving on the magnon, an effective Hamiltonian is constructed to describe the conversion between photons and phonons near their resonant point. The cavity-magnon system can then play the role of quantum memory. Moreover, the faithfulness of the photon-phonon conversion is estimated in terms of fidelities for state evolution and state-independent transfer. The former is discussed in the Lindblad master equation, taking account of the leakages of photons, phonons, and magnons into consideration. The latter is derived by the Heisenberg-Langevin equation considering the non-Markovian noise from the structured environments for both optical and mechanical modes. The state-evolution fidelity is found to be robust to the weak leakage. The transfer fidelity can be maintained by the Ohmic and sub-Ohmic environments of the photons and is insensitive to the 1/f1/f1/f noise of the phonons. Our work thus provides an interesting application for the magnon system as a photon-phonon converter in the microwave regime.
We show how a quantum state in a microwave cavity mode can be transferred to and stored in a phononic mode via an intermediate magnon mode in a magnomechanical system. For this we consider a ferrimagnetic yttrium iron garnet (YIG) sphere inserted in a microwave cavity, where the microwave and magnon modes are coupled via a magnetic-dipole interaction and the magnon and phonon modes in the YIG sphere are coupled via magnetostrictive forces. By modulating the cavity and magnon detunings and the driving of the magnon mode in time, a stimulated Raman adiabatic passage-like coherent transfer becomes possible between the cavity mode and the phonon mode. The phononic mode can be used to store the photonic quantum state for long periods as it possesses lower damping than the photonic and magnon modes. Thus our proposed scheme offers a possibility of using magnomechanical systems as quantum memory for photonic quantum information.
Abstract We show how a quantum state in a microwave cavity mode can be transferred to and stored in a phononic mode via an intermediate magnon mode in a magnomechanical system. For this we consider a ferrimagnetic yttrium iron garnet (YIG) sphere inserted in a microwave cavity, where the microwave and magnon modes are coupled via a magnetic-dipole interaction and the magnon and phonon modes in the YIG sphere are coupled via magnetostrictive forces. By modulating the cavity and magnon detunings and the driving of the magnon mode in time, a stimulated Raman adiabatic passage-like coherent transfer becomes possible between the cavity mode and the phonon mode. The phononic mode can be used to store the photonic quantum state for long periods as it possesses lower damping than the photonic and magnon modes. Thus our proposed scheme offers a possibility of using magnomechanical systems as quantum memory for photonic quantum information.
We construct a hybrid cavity magnomechanical system to transfer the bipartite entanglements and achieve the strong microwave photon-phonon entanglement based on the reservoir engineering approach. The magnon mode is coupled to the microwave cavity mode via magnetic dipole interaction, and to the phonon mode via magnetostrictive force (optomechanical-like). It is shown that the initial magnon-phonon entanglement can be transferred to the photon-phonon subspace in the case of these two interactions cooperating. In reservoir-engineering parameter regime, the initial entanglement is directionally transferred to the photon-phonon subsystem, so we obtain a strong bipartite entanglement in which the magnon mode acts as the cold reservoir to effectively cooling the Bogoliubov mode delocalized over the cavity and the mechanical deformation mode. Moreover, as the dissipation ratio between the cold reservoir mode and the target mode increases, we can achieve greater quantum entanglement and better cooling effect. Our results indicate that the steady-state entanglement is robust against temperature. The scheme may provides potential applications for quantum information processing, and is expected to be extended to other three-mode systems.
The present work offers a comprehensive theoretical analysis of hybrid magnon-phononphoton systems operating in the nanocavity magnomechanical regime, where magnetostrictive coupling, microwave cavity fields, and mechanical vibrations interact coherently within a single engineered platform. The promising potential of these systems for quantum transduction, phonon-state engineering, and hybrid quantum networks motivates the development of a unified open-quantum-system framework grounded in Heisenberg-Langevin equations and input-output theory, which is applied across a hierarchy of increasingly complex physical regimes. The analysis begins with the derivation of magnon-photon and magnon-phonon coupling strengths for a thin-film device geometry using the Euler-Bernoulli principle, thereby establishing experimentally accessible parameter targets. Under red-detuned microwave driving, beam-splitter-type magnomechanical interactions enable sideband cooling of the mechanical mode and facilitate coherent quantum-state transfer between magnon and phonon subsystems, with quantitative predictions provided for cooperativity and cooling performance. Beyond the linear regime, the intrinsic Kerr nonlinearity of the magnon mode is incorporated, revealing a power-dependent renormalization of the effective magnon detuning. This results in phonon frequency shifts and a pronounced transient enhancement of the phonon damping rate at intermediate drive powers, effects that may be exploited to maximize cooling performance without increasing cavity photon occupation. Finally, a covariance-matrix formalism is developed for evaluating continuous-variable entanglement between the magnon and phonon modes, quantified by the logarithmic negativity. Sideband-selective driving generates robust stationary entanglement that persists against thermal noise across experimentally realized systems. Collectively, these findings establish nanocavity magnomechanics as a versatile platform for coherent quantum control, nonlinear sensing, and the generation of quantum correlations in solid-state hybrid systems.