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

Abstract

We consider the single photon transistor in coupled cavity system of resonators interacting with multilevel superconducting artificial atom simultaneously. Effective single mode transformation is used for the diagonalization of the hamiltonian and impedance matching in terms of the normal modes. Storage and transmission of the incident field are described by the interactions between the cavities controlling the atomic transitions of lowest lying states. Rabi splitting of vacuum induced multiphoton transitions is considered in input/output relations by the quadrature operators in the absence of the input field. Second order coherence functions are employed to investigate the photon blockade and delocalization-localization transitions of cavity fields. Spontaneous virtual photon conversion into real photons is investigated in localized and oscillating regimes. Reflection and transmission of cavity output fields are investigated in the presence of the multilevel transitions. Accumulation and firing of the reflected and transmitted fields are used to investigate the synchronization of the bunching spike train of transmitted field and population imbalance of cavity fields. In the presence of single photon gate field, gain enhancement is explained for transmitted regime.

Autonomous piston engine guided by the transduction of radiation pressure inoptomechanical Brownian motors

“…The local approach [44][45][46][47] is used in our scheme since we use thermal white noise resulting in low thermal occupancy with respect to frequencies of the cavity and optomechanical modes. We use the Bloch-Redfield quantum master equation in Born-Markov approximation [41][42][43] for Eq. (2.4).…”

“…, where i = 1, 2 represents the resonators in the coupled scheme of the optomechanical system. Then, in terms of the normal modes α 1,2 of our effective model [42,43], we use the quadrature operators…”

“…Then the system is described by going beyond to rotating wave approximation (RWA) [35][36][37][38]. Effective models [39][40][41] are used to describe the coupled resonator systems without RWA in input-output formalism [42,43]. Global and local approaches are also employed to investigate the thermodynamic analysis of the systems [44][45][46][47].…”