Quantum Reversibility and Echoes in Interacting Systems

Details Quantum Reversibility and Echoes in Interacting Systems Quantum Reversibility and Echoes in Interacting Systems

2006-04-04

arxiv.org/abs/quant-ph/0604018v1

Phys. Rev. Lett. 97, 124103 (2006)

Physics

Quantum Physics

4 pages, one figure in .eps format

Scientific paper

10.1103/PhysRevLett.97.124103

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, the Boltzmann echo, where only part of the system's degrees of freedom can be time-reversed. We present a semiclassical calculation of the Boltzmann echo. We show that, as the time-reversal operation is performed more and more accurately, the decay rate of the Boltzmann echo saturates at a value given by the decoherence rate of the controlled degrees of freedom due to their coupling to uncontrolled ones. We connect these results with NMR spin echo experiments.

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