Out-of-time-order correlators in finite open systems.

  title={Out-of-time-order correlators in finite open systems.},
  author={S V Syzranov and Alexey V. Gorshkov and Victor M. Galitski},
  journal={Physical review. B},
We study out-of-time-order correlators (OTOCs) of the form 〈 A ^ ( t ) B ^ ( 0 ) C ^ ( t ) D ^ ( 0 ) 〉 for a quantum system weakly coupled to a dissipative environment. Such an open system may serve as a model of, e.g., a small region in a disordered interacting medium coupled to the rest of this medium considered as an environment. We demonstrate that for a system with discrete energy levels the OTOC saturates exponentially ∝Σa i e -t/τi + const to a constant value at t → ∞, in contrast with… 

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