Zitterbewegung in Bogoliubov's System

TL;DR

This paper demonstrates that Bogoliubov quasiparticles in superfluid helium-3 exhibit Zitterbewegung, a relativistic trembling motion, with a lower frequency that could make experimental detection feasible.

Contribution

It reveals the Zitterbewegung phenomenon in Bogoliubov quasiparticles, linking condensed matter physics with relativistic quantum mechanics in a novel way.

Findings

Zitterbewegung occurs in Bogoliubov quasiparticles

The frequency of Zitterbewegung is about 10^5 times lower than in electrons

Potential for experimental observation of this effect in superfluid helium-3

Abstract

We show that Bogoliubov's quasiparticle in superfluid $^3He-B$ 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.