Zitterbewegung in Bogoliubov's System

Abstract

We show that Bogoliubov's quasiparticle in superfluid 3 He − B undergoes the Zitterbewegung, as a free relativistic Dirac's electron does. The expectation value of position, as well as spin, of the quasiparticle is obtained and compared with that of the Dirac's electron. In particular, the Zitterbewegung of Bogoliubov's quasiparticle has a frequency approximately 10 5 lower than that of an electron, rendering a more promising experimental observation.