Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2000-10-05
Physical Review Letters 86 (2001) p. 2490-2493
Physics
Condensed Matter
Disordered Systems and Neural Networks
No figures. Typos corrected and minor modifications to the text and references. Published version
Scientific paper
10.1103/PhysRevLett.86.2490
We study the decoherence of a one-particle system, whose classical correpondent is chaotic, when it evolves coupled to a weak quenched environment. This is done by analytical evaluation of the Loschmidt Echo, (i.e. the revival of a localized density excitation upon reversal of its time evolution), in presence of the perturbation. We predict an exponential decay for the Loschmidt Echo with a (decoherence) rate which is asymptotically given by the mean Lyapunov exponent of the classical system, and therefore independent of the perturbation strength, within a given range of strengths. Our results are consistent with recent experiments of Polarization Echoes in nuclear magnetic resonance and preliminary numerical simulations.
Jalabert Rodolfo A.
Pastawski Horacio Miguel
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