University of Oulu

I. Pietikäinen, J. Tuorila, D. S. Golubev, and G. S. Paraoanu (2019) Photon blockade and the quantum-to-classical transition in the driven-dissipative Josephson pendulum coupled to a resonator, Phys. Rev. A 99, 063828,

Photon blockade and the quantum-to-classical transition in the driven-dissipative Josephson pendulum coupled to a resonator

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Author: Pietikäinen, I.1; Tuorila, J.1,2; Golubev, D. S.2;
Organizations: 1Nano and Molecular Systems Research Unit, University of Oulu, P.O. Box 3000, FI-90014 Oulu, Finland
2QTF Centre of Excellence, Department of Applied Physics, Aalto University, P.O. Box 15100, FI-00076 Aalto, Finland
Format: article
Version: published version
Access: open
Online Access: PDF Full Text (PDF, 2.1 MB)
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Language: English
Published: American Physical Society, 2019
Publish Date: 2019-09-26


We investigate the driven quantum phase transition between the oscillating motion and the classical nearly free rotations of the Josephson pendulum coupled to a harmonic oscillator in the presence of dissipation. We refer to this as the Josephson-Rabi model. This model describes the standard setup of circuit quantum electrodynamics, where typically a transmon device is embedded in a superconducting cavity. We find that by treating the system quantum mechanically this transition occurs at higher drive powers than expected from an all-classical treatment, which is a consequence of the quasiperiodicity originating in the discrete energy spectrum of the bound states. We calculate the photon number in the resonator and show that its dependence on the drive power is nonlinear. In addition, the resulting multiphoton blockade phenomenon is sensitive to the truncation of the number of states in the transmon, which limits the applicability of the standard Jaynes-Cummings model as an approximation for the pendulum-oscillator system. We calculate the nth-order correlation functions of the blockaded microwave photons and observe the differences between the rotating-wave approximation and the full multilevel Josephson-Rabi Hamiltonian with the counter-rotating terms included. Finally, we compare two different approaches to dissipation, namely the Floquet-Born-Markov and the Lindblad formalisms.

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Series: Physical review. A
ISSN: 2469-9926
ISSN-E: 2469-9934
ISSN-L: 2469-9926
Volume: 99
Article number: 063828
DOI: 10.1103/PhysRevA.99.063828
Type of Publication: A1 Journal article – refereed
Field of Science: 114 Physical sciences
Funding: We would like to acknowledge financial support from the Academy of Finland under its Centre of Excellence program (Projects No. 312296, No. 312057, No. 312298, and No. 312300) and the Finnish Cultural Foundation.
Copyright information: © 2019 American Physical Society.