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arXiv · 1808.10811

On Bose-Einstein condensation in the Luttinger-Sy model with finite interaction strength

Joachim Kerner·Maximilian Pechmann·Wolfgang Spitzer
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Abstract

We study Bose-Einstein condensation (BEC) in the Luttinger-Sy model. Here, Bose point particles in one spatial dimension do not interact with each other, but, through a positive (repulsive) point potential with impurities which are randomly located along the real line according to the points of a Poisson process. Our emphasis is on the case in which the interaction strength is not infinite. As a main result, we prove that in thermal equilibrium the one-particle ground state is macroscopically occupied, provided that the particle density is larger than a critical one depending on the temperature.

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Joachim Kerner, Maximilian Pechmann, Wolfgang Spitzer. 2018-08-31. On Bose-Einstein condensation in the Luttinger-Sy model with finite interaction strength. https://doi.org/10.1007/s10955-019-02240-4

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