Driven-dissipative quantum Kerr resonators: new exact solutions, photon blockade and quantum bistability
Abstract
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 positive- function methods. Our method generalizes the coherent quantum absorber approach of Stannigel et al. 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 anti-blockade effects, and an infinite number of new parameter choices that yield quantum-bistability.
Cite
@article{arxiv.1910.00574,
title = {Driven-dissipative quantum Kerr resonators: new exact solutions, photon blockade and quantum bistability},
author = {David Roberts and Aashish Clerk},
journal= {arXiv preprint arXiv:1910.00574},
year = {2020}
}
Comments
18 pages main text + 8 pages of appendices, 10 figures, version as accepted by PRX