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Advanced Quantum Technologies

Effective and Robust Generation of Deterministic Magnon Schrödinger Cat States in the Hybrid System

Yu Wang, Yan Xia, Yi‐Hao Kang

Published Jan 22, 2025• 5 citations
Publisher

Abstract

Abstract A scheme is proposed for effective and robust generation of magnon Schrödinger cat states in the hybrid optomagnonical system. The Schrödinger cat states can be generated from the vacuum states and the physical model is easy to be implemented. It is worth noting that the effective normalized coupling strength of the optomagnonical system is able to reach strong coupling regime, which leads to a fast evolution process. Thus, the high fidelity and fast preparation of Schrödinger cat states can be achieved. Besides, the numerical simulations show that the scheme is robust against the decay caused by environment and the additive white Gaussian noise (AWGN). It is the hope that the scheme may open a new path to the fast generation of Schrödinger cat states in the hybrid system.

DOI
10.1002/qute.202400565

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Abstract A scheme is proposed for effective and robust generation of magnon Schrödinger cat states in the hybrid optomagnonical system. The Schrödinger cat states can be generated from the vacuum states and the physical model is easy to be implemented. It is worth noting that the effective normalized coupling strength of the optomagnonical system is able to reach strong coupling regime, which leads to a fast evolution process. Thus, the high fidelity and fast preparation of Schrödinger cat states can be achieved. Besides, the numerical simulations show that the scheme is robust against the decay caused by environment and the additive white Gaussian noise (AWGN). It is the hope that the scheme may open a new path to the fast generation of Schrödinger cat states in the hybrid system.
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The magnon cat state represents a macroscopic quantum superposition of collective magnetic excitations of large number spins that not only provides fundamental tests of macroscopic quantum effects but also finds applications in quantum metrology and quantum computation. In particular, remote generation and manipulation of Schrödinger cat states are particularly interesting for the development of long-distance and large-scale quantum information processing. Here, we propose an approach to remotely prepare magnon even or odd cat states by performing local non-Gaussian operations on the optical mode that is entangled with the magnon mode through pulsed optomagnonic interaction. By evaluating key properties of the resulting cat states, we show that for experimentally feasible parameters, they are generated with both high fidelity and nonclassicality, as well as with a size large enough to be useful for quantum technologies. Furthermore, the effects of experimental imperfections such as the error of projective measurements and dark count when performing single-photon operations have been discussed, where the lifetime of the created magnon cat states is expected to be t∼1 μs.
The cavity-magnon-qubit system has recently been demonstrated as a new platform for preparing macroscopic quantum states in magnonic systems. Here, we propose to prepare a two-mode magnonic cat state, which is also a non-Gaussian entangled state, based on this practical system involving two yttrium-iron-garnet (YIG) spheres and a superconducting qubit coupled to a common microwave cavity. By adiabatically eliminating the cavity and resonantly driving the qubit, an effective magnon-qubit conditional-displacement interaction is achieved. Further working in the magnon-magnon strong-coupling regime and considering two identical magnon frequencies and coupling strengths to the cavity, two hybridized magnon modes are formed, of which the bright mode is prepared in a cat state after a projective measurement on the qubit, while the dark mode remains in its initial vacuum state. Such a state corresponds to a two-mode cat state of two original magnon modes, which share strong non-Gaussian entanglement. We also discuss practical dissipation and dephasing effects on the cat state. The results indicate that strong nonclassicality and non-Gaussian entanglement are present in the two-mode cat state using fully feasible parameters.
The hybrid system between the transmon and the magnon plays an important role in quantum information science. Additionally, the cat states of the magnon are a valuable quantum resource and represent macroscopic quantum superpositions of large numbers of spins. In this paper, we propose an approach to generate magnonic Schr\"odinger cat states (SCSs) in a hybrid ferromagnet-superconductor system. Moreover, high-fidelity magnonic SCSs can be generated when the dissipation of the system is considered. The coherent amplitude and the fidelities of the cat states can be adjusted by controlling the parameters of the system.
We propose a scheme to generate the macroscopic entangled Schrödinger cat state of two mechanical resonators in a hybrid optomechanical system by introducing modulated photon-hopping interaction between two cavities. We show that the obtained entangled cat state possesses large average phonon number and the two base vectors of which are nearly orthogonal, thus causing the high degree of entanglement. To justify the robust of the scheme, the dissipation of the system and the noise from the environment are considered. It shows that the high fidelity between the obtained state and the target state can be achieved in the presence of dissipation and thermal noise within our parameter regions, which suggests that our state-generation proposal is feasible.
We present an alternative scheme to achieve Schrödinger cat states in a strong coupling hybrid cavity optomechanical system. Under the single-photon strong-coupling regime, the interaction between the atom-cavity-oscillator system can induce the mesoscopic mechanical oscillator to Schrödinger cat states. Comparing to previous schemes, the proposed proposal consider the second order approximation on the Lamb-Dicke parameter, which is more universal in the experiment. Numerical simulations confirm the validity of our derivation.