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New Journal of Physics

Steady-state entanglement harvesting for two rotating atoms in a cylindrical cavity

Hong-Tao Zheng, Xiang-Fa Zhou, Guo G, Zhengwei Zhou

Published Jun 16, 2026• 0 citations
Publisher

Abstract

Abstract We study the entanglement dynamics of two rotating atoms (with two internal levels | g ⟩ and | e ⟩ ) in a cylindrical cavity, which interact with a massless scalar field in vacuum satisfying the Dirichlet boundary condition. Our analysis demonstrates that it is possible to obtain the steady-state entanglement under two types of resonant conditions. For two identical atoms with the same world-line, the system reduces to the usual dissipative Dicke model at the first resonant condition Ω i / γ i − Ω j / γ j + p ( ω i − ω j ) = 0 , ( p = 1 , 2 , ⋯ ) where Ω i and ω i are the energy splitting and the angular velocity of the i th atom, and γ i is the Lorentz factor. The entangled steady-state takes the form c 1 | e g ⟩ + c 2 | g e ⟩ where c 1 and c 2 are constant, which is consistent with the previous study (see 2022 Phys. Rev. D 106 105028). For two atoms with different world-lines, the system suffers from a significant mixed joint dissipation process at the second resonant condition

DOI
10.1088/1367-2630/ae7e1f

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Abstract We study the entanglement dynamics of two rotating atoms (with two internal levels | g ⟩ and | e ⟩ ) in a cylindrical cavity, which interact with a massless scalar field in vacuum satisfying the Dirichlet boundary condition. Our analysis demonstrates that it is possible to obtain the steady-state entanglement under two types of resonant conditions. For two identical atoms with the same world-line, the system reduces to the usual dissipative Dicke model at the first resonant condition Ω i / γ i − Ω j / γ j + p ( ω i − ω j ) = 0 , ( p = 1 , 2 , ⋯ ) where Ω i and ω i are the energy splitting and the angular velocity of the i th atom, and γ i is the Lorentz factor. The entangled steady-state takes the form c 1 | e g ⟩ + c 2 | g e ⟩ where c 1 and c 2 are constant, which is consistent with the previous study (see 2022 Phys. Rev. D 106 105028). For two atoms with different world-lines, the system suffers from a significant mixed joint dissipation process at the second resonant condition
Considering two identical two-level atoms interacting with a single-model dissipative coherent cavity field without rotating wave approximation, we explore the entanglement dynamics of the two atoms prepared in different states using concurrence. Interestingly, our results show that the entanglement between the two atoms that initially disentangled will come up to a large constant rapidly, and then keeps steady in the following time or always has its maximum when prepared in some special Bell states. The model considered in this study is a good candidate for quantum information processing especially for quantum computation as steady high-degree atomic entanglement resource obtained in dissipative cavity.
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In this paper we explore the possibility of a steady-state entanglement of two two-level atoms inside a pumped cavity by taking into account cavity leakage and the spontaneous emission of photons by the atoms. We describe the system in the dressed state picture in which the coherence is built into the dressed states while transitions between the dressed states are incoherent. Our model assumes the vacuum Rabi splitting of the dressed states to be much larger than any of the decay parameters of the system which allows atom-field coherence to build up before any decay process takes over. We show that, under our model, a pumping field cannot entangle two closed two-level atoms inside the cavity in the steady-state, but a steady-state entanglement can be achieved with two open two-level atoms.
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Abstract We propose a new scheme to prepare macroscopic entanglement between two rotating mirrors using dissipative atomic reservoir in a double-Laguerre–Gaussian-cavity system. The two-level atomic system driven by a strong field, acts as a single pathway of Bogoliubov dissipation to push the two original cavity modes into the desirable entangled state under the near-resonant conditions. Successively, the photon–photon entanglement can be transferred to mirror–mirror entanglement through the exchange of orbital angular momentum. In essence, the macroscopic entanglement is originated from the dissipative atomic reservoir rather than the radiation torque, thereby it is usually robust against environmental noises. The present scheme provides a feasible way to realize stable entanglement between spatially separated mirrors with high capacity, which may find potential applications in remote quantum communications.