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Regensburg 2019 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 69: Cold Atomic Gases and Superfluids

TT 69.8: Vortrag

Freitag, 5. April 2019, 10:45–11:00, H23

Phonon-mediated Casimir interaction between finite mass impuritiesAndrei Pavlov, Jeroen van den Brink, and •Dmitri Efremov — IFW Dresden

The Casimir effect, a two-body interaction via vacuum fluctuations, is a fundamental property of quantum systems. In solid state physics it emerges as a long-range interaction between two impurity atoms via virtual phonons. In the classical limit for the impurity atoms in D dimensions the interaction is known to follow the universal power-law U(r) ∼ rD. However, for finite masses of the impurity atoms on a lattice, it was predicted to be U(r) ∼ r−2D−1 at large distances. We examine how one power-law can change into another with increase of the impurity mass and in presence of an external potential. We provide the exact solution for the system in one-dimension. At large distances it indeed U(r) ∼ r−3 for finite impurity masses, while for the infinite impurity masses or in an external potential it crosses over to U(r) ∼ r−1. At short distances the Casimir interaction is not universal and depends on the impurity mass and the external potential.

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