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Journal of Experimental and Theoretical Physics

Term Splitting in the Interaction of two Identical Atoms in Different States

Boris M. Smirnov

Published Jan 1, 1968• 0 citations
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Quantum interference on the transmission spectrum of a timed Dicke state in an open cavity

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The transmission spectrum of a two-atom timed Dicke state is investigated in an open optical cavity. In the proposed system, two identical atoms are excited by an external single photon field. In this process, the excited atoms grasp different excitation phases for their different spatial positions. For identical coupling strength of atoms and cavity, the excitation phases get coupled via cavity and vacuum fields, and they finally induce cosine-type quantum interference on the two splitting peaks of the spectrum. However, when one of the atoms is decoupled with the cavity, the excitation phases cannot get coupled directly via the cavity but must be mediated by the vacuum fields, which leads to opposite quantum interference effects on the two splitting peaks. In addition, we find that the real and virtual vacuum-mediated excitation phase couplings generate different quantum interferences. The real vacuum-meditated coupling induces sine-type quantum interference, while it becomes cosine-type for the virtual vacuum-mediated coupling. Our study clarifies the mechanism of quantum interference in the two-atom timed Dicke state and provides a feasible scheme for investigating the effect of vacuum-mediated excitation phase coupling.

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

Hong-Tao Zheng, Xiang-Fa Zhou, Guo G +1 more

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

New Journal of Physics•Jun 16, 2026•0 citations
The transmission spectrum of a two-atom timed Dicke state is investigated in an open optical cavity. In the proposed system, two identical atoms are excited by an external single photon field. In this process, the excited atoms grasp different excitation phases for their different spatial positions. For identical coupling strength of atoms and cavity, the excitation phases get coupled via cavity and vacuum fields, and they finally induce cosine-type quantum interference on the two splitting peaks of the spectrum. However, when one of the atoms is decoupled with the cavity, the excitation phases cannot get coupled directly via the cavity but must be mediated by the vacuum fields, which leads to opposite quantum interference effects on the two splitting peaks. In addition, we find that the real and virtual vacuum-mediated excitation phase couplings generate different quantum interferences. The real vacuum-meditated coupling induces sine-type quantum interference, while it becomes cosine-type for the virtual vacuum-mediated coupling. Our study clarifies the mechanism of quantum interference in the two-atom timed Dicke state and provides a feasible scheme for investigating the effect of vacuum-mediated excitation phase coupling.
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