Induction of chaotic fluctuations in particle dynamics in a uniformly
  accelerated frame
  The ongoing conjecture that the presence of horizon may induce chaos in an
integrable system, is further investigated from the perspective of a uniformly
accelerated frame. Particularly, we build up a model which consists of a
particle (massless and chargeless) trapped in harmonic oscillator in a
uniformly accelerated frame (namely Rindler observer). Here the Rindler frame
provides a Killing horizon without any intrinsic curvature to the system. This
makes the present observations different from previous studies. We observe that
for some particular values of parameters of the system (like acceleration,
energy of the particle), the motion of the particle trapped in harmonic
potential systematically goes from periodic state to the chaotic. This
indicates that the existence of horizon alone, not the intrinsic curvature
(i.e. the gravitational effect) in the background, is sufficient to induce the
chaotic motion in the particle. We believe the present study further enlighten
and balustrade the conjecture.
