Multi-photon resonances in Josephson junction-cavity circuits
Open Access
- 9 February 2021
- journal article
- research article
- Published by IOP Publishing in New Journal of Physics
- Vol. 23 (3), 033021
- https://doi.org/10.1088/1367-2630/abe483
Abstract
We explore the dissipative dynamics of nonlinearly driven oscillator systems tuned to resonances where multiple excitations are generated. Such systems are readily realised in circuit QED systems combining Josephson junctions with a microwave cavity and a drive achieved either through flux or voltage bias. For resonances involving three or more photons the system undergoes a sequence of two closely spaced dynamical transitions (the first one discontinuous and the second continuous) as the driving is increased leading to steady states that form complex periodic structures in phase space. In the vicinity of the transitions the system displays interesting bistable behaviour: we find that coherent effects can lead to surprising oscillations in the weight of the different dynamical states in the steady state of the system with increasing drive. We show that the dynamics is well-described by a simple effective rate model with transitions between states localised at different points in the phase space crystal. The oscillations in the weights of the dynamical states is reflected in corresponding oscillations in a time-scale that describes transitions between the states.Keywords
Funding Information
- Leverhulme Trust (RBG-2018-213)
This publication has 44 references indexed in Scilit:
- Phase Space Crystals: A New Way to Create a Quasienergy Band StructurePhysical Review Letters, 2013
- QuTiP 2: A Python framework for the dynamics of open quantum systemsComputer Physics Communications, 2013
- Dissipative phase transition in a central spin systemPhysical Review A, 2012
- Bright Side of the Coulomb BlockadePhysical Review Letters, 2011
- Stabilizing open quantum systems by Markovian reservoir engineeringPhysical Review A, 2010
- Negativity of the Wigner function as an indicator of non-classicalityJournal of Optics B: Quantum and Semiclassical Optics, 2004
- Encoding a qubit in an oscillatorPhysical Review A, 2001
- Ratios of Bessel Functions and Roots of αJν(x)+xJ′ν(x)=0Journal of Mathematical Analysis and Applications, 1999
- Generalized squeezingPhysical Review A, 1987
- On the principles of elementary quantum mechanicsPhysica, 1946