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Prolonging the Lifetime of Relativistic Particles by Self-Accelerating Dirac Wavepackets

Ido E. Kaminer, Mikael C. Rechtsman, Rivka Bekenstein, Jonathan Nemirovsky, Mordechai Segev

Published Jan 1, 2015• 0 citations
Publisher

Abstract

We show that shaping the wavepackets of Dirac particles can alter fundamental relativistic effects such as length contraction and time dilation. For example, shaping decaying particles as self-accelerating Dirac wavepackets extends their lifetime
DOI
10.1364/cleo_qels.2015.fm1d.3

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We show that particle creation of Bogoliubov modes in a Bose-Einstein condensate due to the accelerated motion of the trap is a genuinely relativistic effect. To this end we show that Bogoliubov modes can be described by a time rescaling of the Minkowski metric. A consequence of this is that Rindler transformations are perceived by the phonons as generalised Rindler transformations where the speed of light is replaced by the speed of sound, enhancing particle creation at small velocities. Since the non-relativistic limit of a Rindler transformation is just a Galilean transformation entailing no length contraction or time dilation, we show that the effect vanishes in the non-relativistic limit.