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Driven-dissipative quantum Kerr resonators: new exact solutions, photon blockade and quantum bistability

2019/10/31 by David Roberts, Aashish Clerk · 1 citation
Physics and Astronomy · #quant-ph #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevx.10.021022

published as Phys. Rev. X 10, 021022 (2020) · 18 pages main text + 8 pages of appendices, 10 figures, version as accepted by PRX

arxiv created 2020/05/03 · arxiv updated 2020/05/05

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-P 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.

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