Fragmentation of a trapped bosonic mixture

• URL: http://arxiv.org/abs/2212.05227v1
• Date: Sat, 10 Dec 2022 07:06:25 GMT
• Title: Fragmentation of a trapped bosonic mixture
• Authors: Ofir E. Alon and Lorenz S. Cederbaum
• Abstract summary: Fragmentation of bosons and pairs in a trapped imbalanced bosonic mixture is investigated analytically using an exactly solvable model. We show how fragmentation of the system's bosons and pairs emerges from the system--bath interaction only.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Fragmentation of bosons and pairs in a trapped imbalanced bosonic mixture is investigated analytically using an exactly solvable model, the generic harmonic-interaction model for mixtures. Closed-form expressions for the eigenvalues and eigenfunctions of the reduced one-particle and two-particle density matrices as a function of all parameters, the masses, numbers of bosons, and the intraspecies and interspecies interactions, are obtained and analyzed. As an application, we consider a system made of $N_1=100$ non-interacting species $1$ bosons embedded in a bath made of $N_2=10^6$ non-interacting species $2$ bosons, and show how fragmentation of the system's bosons and pairs emerges from the system--bath interaction only. Interestingly, the lighter the bosons comprising the bath are the stronger is the system's fragmentation. Further applications are briefly discussed.

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