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Abstract
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 JosephsonRabi 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 allclassical 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 JaynesCummings model as an approximation for the pendulumoscillator system. We calculate the nthorder correlation functions of the blockaded microwave photons and observe the differences between the rotatingwave approximation and the full multilevel JosephsonRabi Hamiltonian with the counterrotating terms included. Finally, we compare two different approaches to dissipation, namely the FloquetBornMarkov and the Lindblad formalisms.
Original language  English 

Article number  063828 
Pages (fromto)  117 
Number of pages  17 
Journal  Physical Review A 
Volume  99 
Issue number  6 
DOIs  
Publication status  Published  20 Jun 2019 
MoE publication type  A1 Journal articlerefereed 
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Dive into the research topics of 'Photon blockade and the quantumtoclassical transition in the drivendissipative Josephson pendulum coupled to a resonator'. Together they form a unique fingerprint.Projects
 3 Finished

QTF: Finnish Centre of Excellence in Quantum Technology
Golubev, D., Pekola, J., Marin Suarez, M., Mannila, E. & Blanchet, F.
01/01/2018 → 31/12/2020
Project: Academy of Finland: Other research funding

Finnish Centre of Excellence in Quantum Technology
Möttönen, M., Tuorila, J., Mäkinen, A., Ollikainen, T., Hazra, D. & Heinsoo, J.
01/01/2018 → 31/12/2019
Project: Academy of Finland: Other research funding

Finnish Centre of Excellence in Quantum Technology
Paraoanu, G., Lan, D., Dogra, S., McCord, J. & Petrovnin, K.
01/01/2018 → 31/12/2020
Project: Academy of Finland: Other research funding