Effects of Quantum Fluctuations on $mathcal{PT}$-Symmetric Solitons of a Trapped Bose Gas * |
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Authors: | Wei Qi Liang-Wei Dong Hai-Feng Li |
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Affiliation: | 1. School of Arts and Sciences, Shaanxi University of Science and Technology, Xi'an 710021, China;2. School of Science, Xi'an Technological University, Xi'an 710032, China |
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Abstract: | Considering the quantum fluctuation effects, the existence and stabilityof solitons in a Bose-Einstein condensate subjected in a $mathcal{PT}$-symmetric potentialare discussed. Using the variational approach, we investigate how the quantum fluctuationaffects the self-localization and stability of the condensate with attractivetwo-body interactions. The results show that the quantum fluctuation dramaticallyinfluences the shape, width, and chemical potential of the condensate.Analytical variational computation also predicts there exists a positive critical quantumfluctuation strength $q_{c}$ with each fixed attractive two-body interaction $g_{0}$, if thequantum fluctuation strength $q_{0}$ is bigger than $q_{c}$, there is no bright solitonsolution existence. We also study the effects of the quantum fluctuations on the stabilityof solitons using the Vakhitov-Kolokolov (VK) stability criterion. A robust stable brightsoliton will always exist when the quantum fluctuation strength $q_{0}$ belongs tothe parameter regimes $q_{c}geq q_{0}>0$. |
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Keywords: | Bose-Einstein condensate $mathcal{PT}$-symmetric solitons quantum fluctuations |
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