@article{176706, author = {Matteo Biondi and Gianni Blatter and Hakan E. T{\"u}reci and Sebastian Schmidt}, title = {Nonequilibrium gas-liquid transition in the driven-dissipative photonic lattice}, abstract = { We study the nonequilibrium steady state of the driven-dissipative Bose-Hubbard model with Kerr nonlinearity. Employing a mean-field decoupling for the intercavity hopping J, we find that the steep crossover between low and high photon-density states inherited from the single cavity transforms into a gas{\textendash}liquid bistability at large cavity-coupling J. We formulate a van der Waals{\textendash}like gas{\textendash}liquid phenomenology for this nonequilibrium setting and determine the relevant phase diagrams, including a new type of diagram where a lobe-shaped boundary separates smooth crossovers from sharp, hysteretic transitions. Calculating quantum trajectories for a one-dimensional system, we provide insights into the microscopic origin of the bistability. }, year = {2017}, journal = {Physical Review A}, volume = {96}, pages = {043809}, url = {https://doi.org/10.1103\%2Fphysreva.96.043809}, doi = {10.1103/physreva.96.043809}, language = {eng}, }