Quantum Reversibility: Is there an Echo?

Moritz Hiller, Tsampikos Kottos, Doron Cohen, Theo Geisel

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


We study the possibility to undo the quantum mechanical evolution in a time reversal experiment. The naive expectation, as reflected in the common terminology (“Loschmidt echo”), 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 [Formula presented] for maximum return probability is in general shorter. We find that [Formula presented] depends on [Formula presented], 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.

Original languageEnglish GB
Pages (from-to)4
Number of pages1
JournalPhysical Review Letters
Issue number1
StatePublished - 1 Jan 2004

ASJC Scopus subject areas

  • General Physics and Astronomy


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