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Physica A Statistical Mechanics and its Applications

Nonlinear interaction of a three-level atom with a two-mode field in an optomechanical cavity: Field and mechanical mode dissipations

F. Eftekhari, Mohammad Kazem Tavassoly, Abbas Behjat

Published Mar 4, 2022• 16 citations
Publisher
DOI
10.1016/j.physa.2022.127176

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In this paper, we propose a new theoretical scheme for generating a macroscopic Schrödinger cat state of a mechanical oscillator in a hybrid optomechanical system where a beam of two-level atoms passes through the cavity. In the model under consideration, the cavity field couples to the macroscopic mirror through the optomechanical interaction while it couples to the atom through a generalized Jaynes–Cummings interaction that involves the cavity-mode structure. The motion of the mirror modifies the cavity-mode function and therefore modulates the atom-field interaction, leading to the three-mode atom-field-mirror coupling or, equivalently, polariton-mirror coupling in a dressed picture. This interaction induces a controllable anharmonicity in the energy spectrum of the mechanical oscillator, which provides the possibility of generating a superposition of two time-dependent coherent states of the mechanical oscillator just by performing a conditional measurement on the internal states of the atoms exiting the optomechanical cavity. We also investigate the tripartite atom-field-mirror entanglement, which is controllable by adjusting the parameters of the system. In addition, we explore the effects of the mechanical dissipation and thermal noise on the tripartite quantum correlation in the system as well as the generated mechanical superposition state.

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Abstract In this letter, we discuss the Fraunhofer diffraction in a hybrid system composed of an optomechanical cavity and a three-level atomic system. The hybrid system interacts via a cavity mode as a probe field and a standing-wave (SW) field from which the atomic system is derived. The susceptibility can be influenced by the interaction between the cavity mode, the atomic system and the oscillating mirror of the optomechanical cavity. The interaction between the cavity mode and the atomic ensemble leads to the generation of nonlinear equations which are solved via the perturbation method. Here, we have found that the amplitude and phase modulation of the system can be controlled via cavity detuning and the intensity of the SW field. By adjusting the amplitude and phase modulations of the system, the Fraunhofer diffraction of the probe field can be controlled easily for different orders of the grating.

Laser Physics Letters•May 1, 2026•0 citations
In this paper, we propose a new theoretical scheme for generating a macroscopic Schrödinger cat state of a mechanical oscillator in a hybrid optomechanical system where a beam of two-level atoms passes through the cavity. In the model under consideration, the cavity field couples to the macroscopic mirror through the optomechanical interaction while it couples to the atom through a generalized Jaynes–Cummings interaction that involves the cavity-mode structure. The motion of the mirror modifies the cavity-mode function and therefore modulates the atom-field interaction, leading to the three-mode atom-field-mirror coupling or, equivalently, polariton-mirror coupling in a dressed picture. This interaction induces a controllable anharmonicity in the energy spectrum of the mechanical oscillator, which provides the possibility of generating a superposition of two time-dependent coherent states of the mechanical oscillator just by performing a conditional measurement on the internal states of the atoms exiting the optomechanical cavity. We also investigate the tripartite atom-field-mirror entanglement, which is controllable by adjusting the parameters of the system. In addition, we explore the effects of the mechanical dissipation and thermal noise on the tripartite quantum correlation in the system as well as the generated mechanical superposition state.
Abstract In this letter, we discuss the Fraunhofer diffraction in a hybrid system composed of an optomechanical cavity and a three-level atomic system. The hybrid system interacts via a cavity mode as a probe field and a standing-wave (SW) field from which the atomic system is derived. The susceptibility can be influenced by the interaction between the cavity mode, the atomic system and the oscillating mirror of the optomechanical cavity. The interaction between the cavity mode and the atomic ensemble leads to the generation of nonlinear equations which are solved via the perturbation method. Here, we have found that the amplitude and phase modulation of the system can be controlled via cavity detuning and the intensity of the SW field. By adjusting the amplitude and phase modulations of the system, the Fraunhofer diffraction of the probe field can be controlled easily for different orders of the grating.