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

I. Pietikäinen, J. Tuorila, D. S. Golubev, G. S. Paraoanu

Research output: Contribution to journalArticleScientificpeer-review

4 Citations (Scopus)
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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 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.

Original languageEnglish
Article number063828
Pages (from-to)1-17
Number of pages17
JournalPhysical Review A
Volume99
Issue number6
DOIs
Publication statusPublished - 20 Jun 2019
MoE publication typeA1 Journal article-refereed

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  • Projects

    Finnish Centre of Excellence in Quantum Technology

    Paraoanu, G., Lan, D., Dogra, S., McCord, J. & Petrovnin, K.

    01/01/201831/12/2020

    Project: Academy of Finland: Other research funding

    QTF: Finnish Centre of Excellence in Quantum Technology

    Golubev, D., Maillet, O., Pekola, J. & Senior, J.

    01/01/201831/12/2020

    Project: Academy of Finland: Other research funding

    Finnish Centre of Excellence in Quantum Technology

    Möttönen, M., Tuorila, J., Mäkinen, A., Ollikainen, T., Sevriuk, V., Hazra, D. & Heinsoo, J.

    01/01/201831/12/2019

    Project: Academy of Finland: Other research funding

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    OtaNano

    Anna Rissanen (Manager)

    Aalto University

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