Regensburg 2004 – scientific programme
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DY: Dynamik und Statistische Physik
DY 50: Entanglement and Decoherence
DY 50.7: Talk
Friday, March 12, 2004, 12:00–12:15, H2
Quantum Reversibility: Is there an Echo? — •Moritz Hiller1, Tsampikos Kottos1, Doron Cohen2, and Theo Geisel1 — 1Max-Planck-Institut für Strömungsforschung und Fakultät Physik der Universität Göttingen, Bunsenstraße 10, 37073 Göttingen, Germany — 2Department of Physics, Ben-Gurion University, Beer-Sheva 84105, Israel
We study the possibility to undo the quantum mechanical evolution in a time
reversal experiment [1]. The naive expectation, as reflected in the common
terminology (“Loschmidt echoNo-dq), is that maximum compensation results
if the reversed dynamics extends to the
same time as the forward evolution. We challenge this belief, and
demonstrate that the time tr for maximum return probability is in
general shorter. We find that tr depends on λ = εevol/εprep, being the ratio of the error in setting the
parameters (fields) for the time reversed
evolution to the perturbation which is involved in the preparation process.
Our results should be observable in spin-echo experiments where the
dynamical irreversibility of quantum phases is measured.
M.Hiller, T.Kottos, D.Cohen and T.Geisel, quant-ph/0308112