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Journal of the Optical Society of America B

Entangling two membranes by the designed-evolution-operator method

Shunyi Zhang, Shuang He, Wenchao Wang, Xin-Yue Wang, Ke-Xin Li, Li Dong, Yan-Qiang Ji, Xiao‐Ming Xiu, Ying-Li Liu

Published Oct 8, 2026• 0 citations

Abstract

We propose a robust and accelerated scheme for generating quantum entanglement between two macroscopic membranes in a cavity optomechanical system. By utilizing the quantum Zeno dynamics, the full coupled dynamics is constrained within an invariant subspace, leading to a controllable three-level effective Hamiltonian. We employ the designed-evolution-operator method to steer the system along a prescribed shortcut trajectory, where the required driving pulses are fitted with superpositions of Gaussian functions to enhance experimental feasibility. The unconditional open-system dynamics is rigorously evaluated using a trace-preserving Lindblad master equation accounting for photon leakage, mechanical damping, and finite-temperature thermal noise. Numerical simulations show that high-fidelity entangled states can be generated within a significantly shortened evolution time compared with conventional adiabatic passage. Furthermore, the scheme exhibits remarkable robustness against cavity decay, membrane damping, and noise.

DOI: 10.1364/josab.613021

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A scheme is proposed for the fast generation of three-dimensional entanglement between two atoms trapped in two cavities connected by a fiber via invariant-based shortcut to an adiabatic passage. With the help of quantum Zeno dynamics, the invariant-based shortcut technique is applied to the generation of two-atom three-dimensional entanglement. The numerical simulation results show that the target state can be generated in a short time with high fidelity, and the scheme is robust against the decoherence caused by atomic spontaneous emission, photon leakage, and variations in the parameters. Moreover, it may be possible to implement the scheme with the current experimental technology.

We propose a scheme for generating 3D entanglement between two atoms trapped in two spatially separated cavities, respectively, via shortcuts to adiabatic passage based on the approach of Lewis–Riesenfeld invariants in cavity quantum electronic dynamics. By combining Lewis–Riesenfeld invariants with quantum Zeno dynamics, we can generate 3D entanglement of the two atoms with high fidelity. The numerical simulation results show that the scheme is robust against the decoherence caused by the photon leakage and atomic spontaneous emission.

A scheme is proposed for the generation of a three-dimensional entangled state for two atoms trapped in a cavity via quantum Zeno dynamics. Because the scheme is based on the resonant interaction, the time required to produce entanglement is very short compared with the dispersive protocols. We show that the resulting effective dynamics allows for the creation of robust qutrit-qutrit entanglement. The influence of various decoherence processes such as spontaneous emission and photon loss on the fidelity of the entangled state is investigated. Numerical results show that the scheme is robust against the cavity decay since the evolution of the system is restricted to a subspace with null-excitation cavity fields. Furthermore, the present scheme has been generalized to realize

N

-dimensional entanglement for two atoms.

Based on the quantum Zeno effect [B. Misra and E. C. G. Sudarshan, J. Math. Phys. 18, 756 (1977)], we propose a scheme to achieve three-dimensional (3D) entanglement between two distant five-level atoms. In our scheme, the two atoms are trapped individually in two spatially-separated double-mode cavities connected by an optical fiber. It is found that the effective quantum Zeno dynamics of the composite cavity-fiber-cavity coupled system gives rise to the deterministic creation of the 3D entangled state with high fidelity. Moreover, only one step operation is required to complete the generation of the 3D entangled state. The numerical simulations clearly show that the proposed scheme is robust against the deviation of the system parameters and insensitive to various decoherence factors, including atomic spontaneous emissions, cavity decays and fiber photon leakages. We justify our scheme by considering the experimental feasibility within the currently available technology.

Abstract In this paper, we introduce a feasible scheme for implementing excitation fluctuation transfer between two membranes in a cavity optomechanical system. The transitionless tracking algorithm allows the system to evolve along a single path, and the process is sped up. Numerical simulations are shown to indicate that, compared with the schemes based on conventional adiabatic passage and Lewis–Riesenfeld invariants, the proposed scheme not only shortens the evolution time but also significantly decreases the negative effects of dissipation arising from membrane damping and cavity decay within specified bounds. This work provides a new idea for quantum state transfer between two membranes.

We propose an adiabatic passage approach to generate two atoms three-dimensional entanglement with the help of quantum Zeno dynamics in a time-dependent interacting field. The atoms are trapped in two spatially separated cavities connected by a fiber, so that the individual addressing is needless. Because the scheme is based on the resonant interaction, the time required to generate entanglement is greatly shortened. Since the fields remain in vacuum state and all the atoms are in the ground states, the losses due to the excitation of photons and the spontaneous transition of atoms are suppressed efficiently compared with the dispersive protocols. Numerical simulation results show that the scheme is robust against the decoherences caused by the cavity decay and atomic spontaneous emission. Additionally, the scheme can be generalized to generate N-atom three-dimensional entanglement and high-dimensional entanglement for two spatially separated atoms.