Effects Beyond Center-of-Mass Separability in a Trapped Bosonic Mixture: Exact Results

• URL: http://arxiv.org/abs/2112.03098v2
• Date: Mon, 13 Dec 2021 14:45:48 GMT
• Title: Effects Beyond Center-of-Mass Separability in a Trapped Bosonic Mixture: Exact Results
• Authors: O. E. Alon and L. S. Cederbaum
• Abstract summary: An exact solvable model mimicking demixing of two Bose-Einstein condensates at the many-body level of theory is devised. The model is also exactly solvable at the mean-field level of theory, allowing comparison between many-body and mean-field properties.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: An exactly solvable model mimicking demixing of two Bose-Einstein condensates at the many-body level of theory is devised. Various properties are expressed in closed form along the demixing pathway and investigated. The connection between the center-of-mass coordinate and in particular the relative center-of-mass coordinate and demixing is explained. The model is also exactly solvable at the mean-field level of theory, allowing thereby comparison between many-body and mean-field properties. Applications are briefly discussed.

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