Spectral Gaps and Midgap States in Random Quantum Master Equations.

@article{Can2019SpectralGA,
  title={Spectral Gaps and Midgap States in Random Quantum Master Equations.},
  author={Tankut Can and Vadim Oganesyan and Dror Orgad and Sarang Gopalakrishnan},
  journal={Physical review letters},
  year={2019},
  volume={123 23},
  pages={
          234103
        }
}
We discuss the decay rates of chaotic quantum systems coupled to noise. We model both the Hamiltonian and the system-noise coupling by random N×N Hermitian matrices, and study the spectral properties of the resulting Liouvillian superoperator. We consider various random-matrix ensembles, and find that for all of them the asymptotic decay rate remains nonzero in the thermodynamic limit; i.e., the spectrum of the superoperator is gapped as N→∞. For finite N, the probability of finding a very… 

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