Variational Neural-Network Ansatz for Steady States in Open Quantum Systems.

@article{Vicentini2019VariationalNA,
  title={Variational Neural-Network Ansatz for Steady States in Open Quantum Systems.},
  author={F. Vicentini and A. Biella and N. Regnault and C. Ciuti},
  journal={Physical review letters},
  year={2019},
  volume={122 25},
  pages={
          250503
        }
}
We present a general variational approach to determine the steady state of open quantum lattice systems via a neural-network approach. The steady-state density matrix of the lattice system is constructed via a purified neural-network Ansatz in an extended Hilbert space with ancillary degrees of freedom. The variational minimization of cost functions associated to the master equation can be performed using a Markov chain Monte Carlo sampling. As a first application and proof of principle, we… Expand
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