okay
and this time so working great what i
yes
i suppose there was a single day
we all to joe's wow sounds interesting
easy to more
we propose the following specific set up for the realization of all the two shows
an effect
a both the and stan compensated rendering geometry is motion is effectively constraint on the
radio degree of freedom as indicated by arrows in the sketch
we consider the contents age to be initially and the zero angular momentum mode
along effective degree of freedom a driving potential was applied
in a specific example we take a potential which can be written as a product
of a purely spatial and the purely time like part both of which can be
decomposed in the first and the second harmonic
this way both the time and space inversion symmetry is broken
the overall amplitude of the driving should be sufficiently small and we should be close
to a resonant driving frequency
the dynamics of this system is an effect mainly governed by contributions of the zero
and your momentum mode and to further non-zero angular momentum modes with which you opposite
sign
the motion among these models is described by an effect that hamiltonian which can be
decomposed the following parts
helping turn withholding parameters cannot class and come online is depending on the driving few
parameters
i can make a potential difference between the two side notes and the zero mode
which is controlled via the tuning from exact resonance
and finally turned that accounts for the particle interactions a central result is that the
effective interaction term is such that two particles only interact with each other that when
they are found in the same mode
note that this effect that hamiltonian is not time dependent anymore
this affective description is mathematically equivalent to that of an internal or external chooses injunction
this observation and the characteristic of the participating nodes motivate term all individuals as an
effect
a more common to most system can be obtained by and accordingly adjustment of the
driving few parameters such that i thought come up last argument minus vanishes
in our numerical study we found three main dynamical regime
apart from the well-known probably oscillations and a set of tripping regime we find a
chaotic regime for intermediate interaction strength
in this regime the mean few predictions fayer rapidly in time what can be seen
by comparison of the mean field results within america solution of them anybody system within
no effect of description
in our analysis we do you a single particle syllables and one strong indications for
the creation of macroscopic superpositions
in the scouting regime
interested then
region