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 apply the method to the dissipative quantum transverse Ising model.
Physical Review Letters
- Pub Date:
- June 2019
- Quantum Physics;
- Condensed Matter - Disordered Systems and Neural Networks
- 6 pages, 4 figures, 54 references, 5 pages of Supplemental Informations