Physics – Quantum Physics
Scientific paper
2001-06-15
Phys. Rev. A 66, 042311, 2002
Physics
Quantum Physics
Completely rewritten, new lower bounds on the number of time steps, applications and references added
Scientific paper
10.1103/PhysRevA.66.042311
Well-known Nuclear Magnetic Resonance experiments show that the time evolution according to (truncated) dipole-dipole interactions between n spins can be inverted by simple pulse sequences. Independent of n, the reversed evolution is only two times slower than the original one. Here we consider more general spin-spin couplings with long range. We prove that some are considerably more complex to invert since the number of required time steps and the slow-down of the reversed evolutions are necessarily of the order n. Furthermore, the spins have to be addressed separately. We show for which values of the coupling parameters the phase transition between simple and complex time-reversal schemes occurs.
Beth Thomas
Janzing Dominik
Wocjan Pawel
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