0:00:05hello
0:00:06my name is you don't childish and this is de vito abstract what an article
0:00:11entitled along idea vertically the human electron you know wonder why we think or to
0:00:16be interaction
0:00:18publish in new journal of physics
0:00:21michael orders are professional drawn jeff's on and professor and blah natasha
0:00:28in this work we present an exact analytical solution for the weight function of an
0:00:33electron you know one dimensional semiconductor quantum via with thing or written direction
0:00:40which is driven by an external time dependent confining potential in which the position of
0:00:47the potential minimum style-independent in its shape is kept constant
0:00:53the eigen states of the and the remark only potential cameras that let's
0:00:59and the ground state grammars a tablet can be defined as it you
0:01:03due to the presence of this thing or reading direction the scene of an electron
0:01:08is rotated on the rocks you in the demon system
0:01:12indeed basically means these behavior has already been studied in the literature where it was
0:01:19shown that the rotation angle is directly proportional to the distance the potential well moves
0:01:25using our analytical solution we can generalize this result and shown that you be manipulation
0:01:32can also be exactly performed in the non-ideal that you could or g with a
0:01:37mean once the rotation times for word that the inverse quantum dot level space
0:01:43the solution allows analytical expressions for various quantities to be derived
0:01:49for example screen and those you know rotations
0:01:53energy and occupation probabilities for excited they
0:01:58the for quantum mechanical solution incorporates the solution for the corresponding classical harmonic and you're
0:02:05and we you examples for a few deriving schemes
0:02:09the fastest only directional driving that generates the perfect displacement without residual posts relations is
0:02:17given by a stand and displacement of the dot followed by waiting time of one
0:02:22half of the constellation time t not followed by another start and displacement of the
0:02:28belt
0:02:29with the appropriate total displacement these can for example generate a perfect being you
0:02:37we also consider you know ten
0:02:40and thus seamless i don't driving
0:02:43except for specific diving profile that a residual was to relations after the dogs
0:02:50but the those in expectation values remain constant regardless of the chosen driving
0:02:58for all that the writings consider the perfect syllables being transformations
0:03:04which she the electrode in the grounds they mainly for after the transit of the
0:03:09dot
0:03:09we always be done and even in the non idea that decoder g
0:03:15however
0:03:16during the forced evolution the state of the electron depends strongly on the degree of
0:03:22the non linear but these for an initial state in the ground state many for
0:03:27the time evolved they is the coherence they with probability of occupation of and excited
0:03:34forced to the interstate given by a possible this new after the low starts these
0:03:40probabilities think determined by the residual was relations
0:03:47in the article we present the exact solutions for an electron you know the demon
0:03:52quantum dot you know one dimensional quantum why we think or to be interaction the
0:03:58essence of formalism lives in the solution of a corresponding classical harmonic and you
0:04:04together with the education of no problem canonical transformation
0:04:11thank you for watching