Driven-dissipative quantum many-body systems have attracted increasing interest in recent years as they lead to novel classes of quantum many-body phenomena. In particular, mean-field calculations predict limit cycle phases, slow oscillations instead of stationary states, in the long-time limit for a number of driven-dissipative quantum many-body systems. Using a cluster mean-field and a self-consistent Mori projector approach, we explore the persistence of such limit cycles as short range quantum correlations are taken into account in a driven-dissipative Heisenberg model.
Owen, E. T., Jin, J., Rossini, D., Fazio, R., & Hartmann, M. J. (2018). Quantum correlations and limit cycles in the driven-dissipative Heisenberg lattice. New Journal of Physics, 20(4), . https://doi.org/10.1088/1367-2630/aab7d3