Controllable Superconducting Quantum Circuit Coupling And Its Application By Parametric Mechanism

Quantum simulation simulates the physical systems concerned by condensed matter physics and high energy physics through controlled artificial quantum systems,providing us with an ideal platform to solve experimental difficulties.Superconducting quantum circuits are one of the most promising artificial platforms for implementing quantum simulation of several singular physical phenomena.Based on the current microelectronic integrated circuit technology,it has the advantages of being easy to design,good adjustability,and good scalability.In this paper,based on the physical system of superconducting quantum circuits,several topological photonics physics are studied.In particular,we develop the method of parametric conversion,which is used to realize the Abelian artificial gauge field in superconducting quantum circuits,and put forward the theoretical scheme of realizing the non-Abelian artificial gauge field.Furtherly,we explore the novel physical effects brought by this non-Abelian gauge field,including AB caging due to the non-Abelian AB effect and spin orbital coupling.The contents are as follows:Firstly,we propose to use two intrinsic modes of the 3D cavity to play the roles of the two components of photons in cascaded 3D cavity artificial lattice system.By means of parametric resonance,the adjacent lattice points on 3D cavity array are connected by coupling SQUID,and the alternating magnetic flux is used to excite the SQUID,so as to realize the controllable transition of photons between lattice points whose intensity is determined by the intensity of the magnetic flux signals.The transition phases are modulated by the initial phases of the magnetic flux signals.In this way,we can independently control the four transitions of photons between adjacent lattices by properly selecting the geometric size of the 3D cavity and the intensity and phases of the AC pulses.Thus,an arbitrary non-Abelian artificial gauge field applied to electrically neutral photons can be realized in a superconducting quantum circuit system.Secondly,we extend the concept of AB caging under Abelian gauge field to that under Non-Abelian gauge field.Based on the above results,a scheme for non-Abelian AB caging in superconducting quantum circuits is proposed,and the corresponding measurement problems are discussed.Specifically,based on the idea of AB interference,we propose that under the non-Abelian gauge field,as the number of system components increases,compared with Abelian case,the non-Abelian AB interference can lead to more abundant physics,including several symmetry breaking.We propose that we can construct a quasione-dimensional rhombic 3D cavity array,in which AB caging of microwave photons in superconducting quantum circuits is realized by appropriate parameter design and pulse pumping control.This phenomenon can be characterized by the localization of photons,therefor we propose the corresponding experimental measurement methods.Thirdly,we apply the non-Abelian artificial gauge field to the one-dimensional 3D cavity lattice system to realize spin-orbit coupling in the superconducting quantum circuit system.The introduction of non-Abelian gauge field will lead to the closure-reopening of energy gaps between the bands of lattice systems,which makes us pay attention to the topological properties of the system.By calculating the topological invariant of the system,i.e.the winding number,we find the change of the system’s topological properties.