Quantum simulation of Hofstadter butterfly with synthetic gauge fields on two-dimensional superconducting-qubit lattices  

作　　者：Wei Feng Dexi Shao Guo-Qiang Zhang Qi-Ping Su Jun-Xiang Zhang Chui-Ping Yang 

机构地区：[1]School of Physics,Hangzhou Normal University,Hangzhou 311121,China [2]School of Physics,Zhejiang University,Hangzhou 310027,China

出　　处：《Frontiers of physics》2023年第6期283-290,共8页物理学前沿（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos.12204139,U20A2076,12204138,12205069,11774076,and U21A20436);the Key-Area Research and Development Program of Guangdong Province (Grant No.2018B030326001).

摘　　要：Motivated by recent realizations of two-dimensional(2D)superconducting-qubit lattices,we propose a protocol to simulate Hofstadter butterfly with synthetic gauge fields in superconducting circuits.Based on the existing 2D superconducting-qubit lattices,we construct a generalized Hofstadter model on zigzag lattices,which has a fractal energy spectrum similar to the original Hofstadter butterfly.By periodically modulating the resonant frequencies of qubits,we engineer a synthetic gauge field to mimic the generalized Hofstadter Hamiltonian.A spectroscopic method is used to demonstrate the Hofstadter butterfly from the time evolutions of experimental observables.We numerically simulate the dynamics of the system with realistic parameters,and the results show a butterfly spectrum clearly.Our proposal provides a promising way to realize the Hofstadter butterfly on the latest 2D superconducting-qubit lattices and will stimulate the quantum simulation of novel properties induced by magnetic fields in superconducting circuits.

关 键 词：quantum simulation superconducting circuits superconducting qubit quantum computation 

分 类 号：O41[理学—理论物理]