Synchronization of networked Jahn–Teller systems in SQUIDs

Abstract

We consider the nonlinear effects in Jahn-Teller system of two coupled resonators interacting simultaneously with flux qubit using Circuit QED. Two frequency description of Jahn Teller system that inherits the networked structure of both nonlinear Josephson Junctions and harmonic oscillators is employed to describe the synchronous structures in multifrequency scheme. Emergence of dominating mode is investigated to analyze frequency locking by eigenvalue spectrum. Rabi Supersplitting is tuned for coupled and uncoupled synchronous configurations in terms of frequency entrainment switched by coupling strength between resonators. Second order coherence functions are employed to investigate self-sustained oscillations in resonator mode and qubit dephasing. Snychronous structure between correlations of priviledged mode and qubit is obtained in localization-delocalization and photon blockade regime controlled by the population imbalance.

On-chip photonic transistor based on the spike synchronization in circuit QED

“…For simulation of our single photon transistor, we use the parameters of two-frequency JT system as a test bed in ref [19,27]. Coupling regimes is considered in weak, strong and ultrastrong regimes of circuit QED.…”

“…It is possible to tune the strength of the interaction between qubit and privileged mode in ultrastrong regime when disadvantaged mode interacts with the qubit in strong regime [19,27]. Privileged mode, in which coupling energies concentrated, dominates the system and behaves like the scattering center for the cavity fields.…”

“…The thermal occupation number n th = 0.15 is taken as 100 mK [19,27]. D denotes the Lindblad type damping superoperators, κ shows the cavity photon loss rate.…”

“…Different from the generic models [36,37], spontaneous emergence of synchronization [27,52] in the presence of virtual photon conversion [40][41][42][43] makes our model advantageous in coupled cavity systems for switching and sending photons. When the single photon gate field is sent to the coupled cavity system, the incoming field is split into two fields incident both on the left and right cavities by time-reversed process of single-photon generation.…”

“…As an electrical analog platform to simulate the nonlinearities [23][24][25][26], photon blockade and localization-delocalization transitions is investigated in coupled Superconducting Quantum Interference Devices (SQUIDS). Population imbalance between coupled resonators is used to synchronize the qubit dephasing in networked JT system wired up to outer circuitry on chip [27].…”