Το work with title Beyond mean-field bistability in driven-dissipative lattices: bunching-antibunching transition and quantum simulation by Mendoza-Arenas Juan José, Clark Stephen R., Felicetti Simone, Romero Guillermo, Solano Enrique, Aggelakis Dimitrios, Jaksch Dieter is licensed under Creative Commons Attribution 4.0 International
Bibliographic Citation
J. J. Mendoza-Arenas, S. R. Clark, S. Felicetti, G. Romero, E. Solano, D. G. Angelakis and D. Jaksch, "Beyond mean-field bistability in driven-dissipative lattices: bunching-antibunching transition and quantum simulation," Phys. Rev. A, vol. 93, no. 2, Feb. 2016. doi: 10.1103/PhysRevA.93.023821
https://doi.org/10.1103/PhysRevA.93.023821
In the present work we investigate the existence of multiple nonequilibrium steady states in a coherently driven XY lattice of dissipative two-level systems. A commonly used mean-field ansatz, in which spatial correlations are neglected, predicts a bistable behavior with a sharp shift between low- and high-density states. In contrast one-dimensional matrix product methods reveal these effects to be artifacts of the mean-field approach, with both disappearing once correlations are taken fully into account. Instead, a bunching-antibunching transition emerges. This indicates that alternative approaches should be considered for higher spatial dimensions, where classical simulations are currently infeasible. Thus we propose a circuit QED quantum simulator implementable with current technology to enable an experimental investigation of the model considered.