Effects of Quantum Fluctuations on PT-Symmetric Solitons of a Trapped Bose Gas
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摘要
Considering the quantum fluctuation effects, the existence and stability of solitons in a Bose-Einstein condensate subjected in a PT-symmetric potential are discussed. Using the variational approach, we investigate how the quantum fluctuation affects the self-localization and stability of the condensate with attractive two-body interactions.The results show that the quantum fluctuation dramatically influences the shape, width, and chemical potential of the condensate. Analytical variational computation also predicts there exists a positive critical quantum fluctuation strength qc with each fixed attractive two-body interaction g_0, if the quantum fluctuation strength q_0 is bigger than qc, there is no bright soliton solution existence. We also study the effects of the quantum fluctuations on the stability of solitons using the Vakhitov-Kolokolov(VK) stability criterion. A robust stable bright soliton will always exist when the quantum fluctuation strength q_0 belongs to the parameter regimes q_c ≥ q_0 > 0.
Considering the quantum fluctuation effects, the existence and stability of solitons in a Bose-Einstein condensate subjected in a PT-symmetric potential are discussed. Using the variational approach, we investigate how the quantum fluctuation affects the self-localization and stability of the condensate with attractive two-body interactions.The results show that the quantum fluctuation dramatically influences the shape, width, and chemical potential of the condensate. Analytical variational computation also predicts there exists a positive critical quantum fluctuation strength qc with each fixed attractive two-body interaction g_0, if the quantum fluctuation strength q_0 is bigger than qc, there is no bright soliton solution existence. We also study the effects of the quantum fluctuations on the stability of solitons using the Vakhitov-Kolokolov(VK) stability criterion. A robust stable bright soliton will always exist when the quantum fluctuation strength q_0 belongs to the parameter regimes q_c ≥ q_0 > 0.
Considering the quantum fluctuation effects, the existence and stability of solitons in a Bose-Einstein condensate subjected in a PT-symmetric potential are discussed. Using the variational approach, we investigate how the quantum fluctuation affects the self-localization and stability of the condensate with attractive two-body interactions.The results show that the quantum fluctuation dramatically influences the shape, width, and chemical potential of the condensate. Analytical variational computation also predicts there exists a positive critical quantum fluctuation strength qc with each fixed attractive two-body interaction g_0, if the quantum fluctuation strength q_0 is bigger than qc, there is no bright soliton solution existence. We also study the effects of the quantum fluctuations on the stability of solitons using the Vakhitov-Kolokolov(VK) stability criterion. A robust stable bright soliton will always exist when the quantum fluctuation strength q_0 belongs to the parameter regimes q_c ≥ q_0 > 0.
引文
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