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 complex-P -function methods. Our method generalizes the coherent quantum-absorber approach of Stannigel et al. [New J. Phys. 14, 063014 (2012), 10.1088/1367-2630/14/6/063014] 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.
- Publication:
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Physical Review X
- Pub Date:
- April 2020
- DOI:
- 10.1103/PhysRevX.10.021022
- arXiv:
- arXiv:1910.00574
- Bibcode:
- 2020PhRvX..10b1022R
- Keywords:
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- Quantum Physics;
- Condensed Matter - Mesoscale and Nanoscale Physics
- E-Print:
- 18 pages main text + 8 pages of appendices, 10 figures, version as accepted by PRX