Generation of Stable Entanglement in an Optomechanical System with Dissipative Environment: Linear-and-Quadratic Couplings
In this paper, we present a theoretical scheme for the generation and manipulation of bipartite atom–atom entanglement in a dissipative optomechanical system containing two atoms in the presence of linear and nonlinear (quadratic) couplings. To achieve the goal of paper, we first obtain the interact...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-09-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/15/9/1770 |
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| author | Mehran Rafeie Mohammad Kazem Tavassoly |
| author_facet | Mehran Rafeie Mohammad Kazem Tavassoly |
| author_sort | Mehran Rafeie |
| collection | DOAJ |
| description | In this paper, we present a theoretical scheme for the generation and manipulation of bipartite atom–atom entanglement in a dissipative optomechanical system containing two atoms in the presence of linear and nonlinear (quadratic) couplings. To achieve the goal of paper, we first obtain the interaction Hamiltonian in the interaction picture, and then, by considering some resonance conditions and applying the rotating wave approximation, the effective Hamiltonian, which is independent of time, is derived. In the continuation, the system solution was obtained via solving the Lindblad master equation, which includes atomic, optical and mechanical dissipation effects. Finally, bipartite atom–atom entanglement is quantitatively discussed, by evaluating the negativity, which is a well-known measure of entanglement. Our numerical simulations show that a significant degree of entanglement can be reached via adjusting the system parameters. It is noticeable that the optical and mechanical decay rates play an important role in the quasi-stability and even stability of the obtained atom–atom entanglement. |
| first_indexed | 2024-03-10T21:54:14Z |
| format | Article |
| id | doaj.art-18d330f6b48d491c99501e0e719bc721 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T21:54:14Z |
| publishDate | 2023-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-18d330f6b48d491c99501e0e719bc7212023-11-19T13:12:24ZengMDPI AGSymmetry2073-89942023-09-01159177010.3390/sym15091770Generation of Stable Entanglement in an Optomechanical System with Dissipative Environment: Linear-and-Quadratic CouplingsMehran Rafeie0Mohammad Kazem Tavassoly1Optics and Laser Group, Faculty of Physics, Yazd University, Yazd P.O. Box 89195-741, IranOptics and Laser Group, Faculty of Physics, Yazd University, Yazd P.O. Box 89195-741, IranIn this paper, we present a theoretical scheme for the generation and manipulation of bipartite atom–atom entanglement in a dissipative optomechanical system containing two atoms in the presence of linear and nonlinear (quadratic) couplings. To achieve the goal of paper, we first obtain the interaction Hamiltonian in the interaction picture, and then, by considering some resonance conditions and applying the rotating wave approximation, the effective Hamiltonian, which is independent of time, is derived. In the continuation, the system solution was obtained via solving the Lindblad master equation, which includes atomic, optical and mechanical dissipation effects. Finally, bipartite atom–atom entanglement is quantitatively discussed, by evaluating the negativity, which is a well-known measure of entanglement. Our numerical simulations show that a significant degree of entanglement can be reached via adjusting the system parameters. It is noticeable that the optical and mechanical decay rates play an important role in the quasi-stability and even stability of the obtained atom–atom entanglement.https://www.mdpi.com/2073-8994/15/9/1770dissipative optomechanical systemoptomechanical quadratic couplingbipartite entanglemententanglement stabilitynegativity |
| spellingShingle | Mehran Rafeie Mohammad Kazem Tavassoly Generation of Stable Entanglement in an Optomechanical System with Dissipative Environment: Linear-and-Quadratic Couplings Symmetry dissipative optomechanical system optomechanical quadratic coupling bipartite entanglement entanglement stability negativity |
| title | Generation of Stable Entanglement in an Optomechanical System with Dissipative Environment: Linear-and-Quadratic Couplings |
| title_full | Generation of Stable Entanglement in an Optomechanical System with Dissipative Environment: Linear-and-Quadratic Couplings |
| title_fullStr | Generation of Stable Entanglement in an Optomechanical System with Dissipative Environment: Linear-and-Quadratic Couplings |
| title_full_unstemmed | Generation of Stable Entanglement in an Optomechanical System with Dissipative Environment: Linear-and-Quadratic Couplings |
| title_short | Generation of Stable Entanglement in an Optomechanical System with Dissipative Environment: Linear-and-Quadratic Couplings |
| title_sort | generation of stable entanglement in an optomechanical system with dissipative environment linear and quadratic couplings |
| topic | dissipative optomechanical system optomechanical quadratic coupling bipartite entanglement entanglement stability negativity |
| url | https://www.mdpi.com/2073-8994/15/9/1770 |
| work_keys_str_mv | AT mehranrafeie generationofstableentanglementinanoptomechanicalsystemwithdissipativeenvironmentlinearandquadraticcouplings AT mohammadkazemtavassoly generationofstableentanglementinanoptomechanicalsystemwithdissipativeenvironmentlinearandquadraticcouplings |