7,364 research outputs found
Detecting mixedness of qutrit systems using the uncertainty relation
We show that the uncertainty relation as expressed in the
Robertson-Schrodinger generalized form can be used to detect the mixedness of
three-level quantum systems in terms of measureable expectation values of
suitably chosen observables when prior knowledge about the basis of the given
state is known. In particular, we demonstrate the existence of observables for
which the generalized uncertainty relation is satisfied as an equality for pure
states and a strict inequality for mixed states corresponding to single as well
as bipartite sytems of qutrits. Examples of such observables are found for
which the magnitude of uncertainty is proportional to the linear entropy of the
system, thereby providing a method for measuring mixedness.Comment: 7 pages, 2 figure, Eqs.(10) and (14) are corrected, and results and
conclusions are unchange
Dependence of the 0.5(2e2/h) conductance plateau on the aspect ratio of InAs quantum point contacts with in-plane side gates
The observation of a 0.5 conductance plateau in asymmetrically biased quantum
point contacts with in-plane side gates has been attributed to the onset of
spin-polarized current through these structures. For InAs quantum point
contacts with the same width but longer channel length, there is roughly a
fourfold increase in the range of common sweep voltage applied to the side
gates over which the 0.5 conductance plateau is observed when the QPC aspect
ratio (ratio of length over width of the narrow portion of the structure) is
increased by a factor 3. Non-equilibrium Green s function simulations indicate
that the increase in the size of the 0.5 conductance plateau is due to an
increased importance, over a larger range of common sweep voltage, of the
effects of electron-electron interactions in QPC devices with larger aspect
ratio. The use of asymmetrically biased QPCs with in-plane side gates and large
aspect ratio could therefore pave the way to build robust spin injectors and
detectors for the successful implementation of spin field effect transistorsComment: 30 pages, 9 figure
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