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Mesoscopic Physics in Complex Media

New class of quantum echoes motivated by experiments with trapped atoms

Arseni Goussev, Philippe Jacquod

Published Dec 1, 2010• 0 citations
Publisher
DOI
10.1051/iesc/2010mpcm03006

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Motivated by atomic optics experiments, we investigate a class of fidelity functions describing the reconstruction of quantum states by time-reversal operations as ${M}_{\mathrm{Da}}(t)=|\ensuremath{\langle}\ensuremath{\psi}|{e}^{i{H}_{2}t/2}{e}^{i{H}_{1}t/2}{e}^{\ensuremath{-}i{H}_{2}t/2}{e}^{\ensuremath{-}i{H}_{1}t/2}|\ensuremath{\psi}\ensuremath{\rangle}|{}^{2}$. We show that the decay of MDa{M}_{\mathrm{Da}}MDa​ is quartic in time at short times and that it freezes well above the ergodic value at long times, when ${H}_{2}\ensuremath{-}{H}_{1}$ is not too large. The long-time saturation value of MDa{M}_{\mathrm{Da}}MDa​ contains easily extractable information on the strength of decoherence in these systems.
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