hello
my name is you don't childish and this is de vito abstract what an article
entitled along idea vertically the human electron you know wonder why we think or to
be interaction
publish in new journal of physics
michael orders are professional drawn jeff's on and professor and blah natasha
in this work we present an exact analytical solution for the weight function of an
electron you know one dimensional semiconductor quantum via with thing or written direction
which is driven by an external time dependent confining potential in which the position of
the potential minimum style-independent in its shape is kept constant
the eigen states of the and the remark only potential cameras that let's
and the ground state grammars a tablet can be defined as it you
due to the presence of this thing or reading direction the scene of an electron
is rotated on the rocks you in the demon system
indeed basically means these behavior has already been studied in the literature where it was
shown that the rotation angle is directly proportional to the distance the potential well moves
using our analytical solution we can generalize this result and shown that you be manipulation
can also be exactly performed in the non-ideal that you could or g with a
mean once the rotation times for word that the inverse quantum dot level space
the solution allows analytical expressions for various quantities to be derived
for example screen and those you know rotations
energy and occupation probabilities for excited they
the for quantum mechanical solution incorporates the solution for the corresponding classical harmonic and you're
and we you examples for a few deriving schemes
the fastest only directional driving that generates the perfect displacement without residual posts relations is
given by a stand and displacement of the dot followed by waiting time of one
half of the constellation time t not followed by another start and displacement of the
belt
with the appropriate total displacement these can for example generate a perfect being you
we also consider you know ten
and thus seamless i don't driving
except for specific diving profile that a residual was to relations after the dogs
but the those in expectation values remain constant regardless of the chosen driving
for all that the writings consider the perfect syllables being transformations
which she the electrode in the grounds they mainly for after the transit of the
dot
we always be done and even in the non idea that decoder g
however
during the forced evolution the state of the electron depends strongly on the degree of
the non linear but these for an initial state in the ground state many for
the time evolved they is the coherence they with probability of occupation of and excited
forced to the interstate given by a possible this new after the low starts these
probabilities think determined by the residual was relations
in the article we present the exact solutions for an electron you know the demon
quantum dot you know one dimensional quantum why we think or to be interaction the
essence of formalism lives in the solution of a corresponding classical harmonic and you
together with the education of no problem canonical transformation
thank you for watching