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

Time: Tue 2019-04-23 14.00 - 15.00

Location: Seminar Hall Kuskvillan, Institut Mittag-Leffler

Participating: Wolfgang Spitzer, FernUniversität in Hagen

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We study Bose-Einstein condensation 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. This is joint work with Joachim Kerner and Maximilian Pechmann.