Dynamics of Three and Four Non-identical Josephson Junctions

Control of global variables for identical and non-identical Josephson junctions arrays

“…Parameters of the RLC-load are ε = 0.5, γ = 1, ω 2 0 = 1.2 for both cases. The parameters are taken from [Kuznetsov et al, 2018;Vlasov and Pikovsky, 2013]. We have chosen matrices N 2 and N 3 to be identity matrices of the corresponding sizes.…”

“…The identical junctions can be described by the system of ordinary differential equations (ODE system) in dimensionless global variables [Kuznetsov et al, 2018;Vlasov and Pikovsky, 2013]:…”

“…The ODE system describing non-identical junctions is [Kuznetsov et al, 2018;Vlasov and Pikovsky, 2013]:…”

“…To perform quantum computations it is necessary to create a chain or an array of qubits. Dynamics of Josephson junctions arrays was studied in detail in a significant number of works, e.g., [Hens, Pal, Dana, 2015;Kuznetsov et al, 2018;Vlasov and Pikovsky, 2013]. Dynamics of identical non-linear oscillators network was studied in [Mishra A. et al, 2015].…”

Modeling and study of dynamics of micro-beam coupled to two Josephson junctions

“…Being the main constituent element of the SQUID (finer magnetic field detector and RSFQ where Josephson junctions act as transistor and would allow to obtain frequencies in hundreds of GHz), the Josephson junction by its physical properties, is a device of choice for several fields of application and is therefore the subject of several studies and scientific research. For example, recently, in January 2018, Nuznetsov et al studied in [18] the dynamics of three and four non-identical Josephson junctions connected in series and coupled with an RLC dipole. Our motivations for this study are also justified by the recently research on the electromechanical systems.…”