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6. Continuous part of the evolution

In our discussion of quantum fractals, we neglect completely the continuous part of the time evolution. Here we are not interested in "when" jumps happen. We are only interested in the final pattern produced by a long sequence of jumps. Normally spin interacts with a magnetic field (if present), which causes our spin sphere to rotate around the direction of the magnetic field vector. Such a rotation, between jumps, would smear out our pattern. To study the pattern we neglect the rotation part. Once we discard the continuous evolution, the timing of jumps does not really matter, so we neglect this part of EEQT algorithm (timing is very important in simulations of particle detectors, arrival and tunneling times. Here, we simulate jumps as fast as our computer can crunch the numbers.


2002-04-11