  In this article, we study the scrambling dynamics in supersymmetric quantum
mechanical systems. The eigenstate representation of such supersymmetric
systems allows us to present an explicit form of the $2N$-point
out-of-time-order correlator (OTOC) using two equivalent formalisms viz.
"Tensor Product formalism" and "Partner Hamiltonian formalism". We analytically
compute the $2N$-point OTOC for the supersymmetric 1D harmonic oscillator and
find that the result is in exact agreement with that of the OTOC of the 1D
bosonic harmonic oscillator system. The higher-point OTOC is a more sensitive
measure of scrambling than the usual 4-point OTOC. To demonstrate this feature,
we consider a supersymmetric sextic 1D oscillator for which the bosonic partner
system has an unstable saddle in the phase space, which is absent in the
fermionic counterpart. For such a system we show that the bosonic, the
fermionic as well as the supersymmetric OTOC exhibit similar dynamics due to
supersymmetry constraints. Finally, we illustrate the late-time oscillatory
behaviour of higher-point OTOC for saddle-dominated scrambling and anharmonic
oscillator systems and propose it to be a probe of late-time dynamics in
non-chaotic systems that exhibit fast early-time scrambling.
