@article{TEXTUAL, recid = {11430}, author = {Roberts, David and Clerk, Aashish A.}, title = {Driven-Dissipative Quantum Kerr Resonators: New Exact Solutions, Photon Blockade and Quantum Bistability}, journal = {Physical Review X}, address = {2020-04-29}, number = {TEXTUAL}, abstract = {<p>We present a new approach for deriving exact closed-form solutions for the steady state of a wide class of driven-dissipative nonlinear resonators that is distinct from more common complex-P-function methods. Our method generalizes the coherent quantum-absorber approach of Stannigel&nbsp;<em>et&nbsp;al.</em>&nbsp;[<a href="http://dx.doi.org/10.1088/1367-2630/14/6/063014">New J. Phys.&nbsp;14, 063014 (2012)</a>] to include nonlinear driving and dissipation and relies crucially on exploiting the Segal-Bargmann representation of Fock space. Our solutions and method reveal a wealth of previously unexplored observable phenomena in these systems, including new generalized photon-blockade and antiblockade effects and an infinite number of new parameter choices that yield quantum bistability.</p>}, url = {http://knowledge.uchicago.edu/record/11430}, }