# Quantum reversibility and echoes in interacting systems.

@article{Petitjean2006QuantumRA, title={Quantum reversibility and echoes in interacting systems.}, author={Cyril Petitjean and Philippe Jacquod}, journal={Physical review letters}, year={2006}, volume={97 12}, pages={ 124103 } }

In echo experiments, imperfect time-reversal operations are performed on a subset of the total number of degrees of freedom. To capture the physics of these experiments, we introduce a partial fidelity M(B)(t), the Boltzmann echo, where only part of the system's degrees of freedom can be time reversed. We present a semiclassical calculation of M(B)(t). We show that, as the time-reversal operation is performed more and more accurately, the decay rate of M(B)(t) saturates at a value given by the…

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