Environment-independent decoherence rate in classically chaotic systems

Abstract

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.

No figures. Typos corrected and minor modifications to the text and references. Published version

References in corpus (4)

• Attenuation of polarization echoes in NMR: A study of the emergence of dynamical irreversibility in many-body quantum systems
• Gaussian to Exponential Crossover in the Attenuation of Polarization Echoes in NMR
• Integrability and Disorder in Mesoscopic Systems: Application to Orbital Magnetism
• Dynamical Origin of Decoherence in Clasically Chaotic Systems

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