Decoherence entails exponential forgetting in systems complying with the eigenstate thermalization hypothesis

  title={Decoherence entails exponential forgetting in systems complying with the eigenstate thermalization hypothesis},
  author={Lars Knipschild and Jochen Gemmer},
  journal={Physical Review A},
According to the eigenstate thermalization ansatz, matrices representing generic few body observables take on a specific form when displayed in the eigenbasis of a chaotic Hamiltonian. We examine the effect of environmental induced decoherence on the dynamics of observables that conform with said eigenstate thermalization ansatz. The obtained result refers to a description of the dynamics in terms of an integro-differential equation of motion of the Nakajima-Zwanzig form. We find that… 

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