TOWARDS QUANTUM SIMULATION WITH INTERACTING PHOTONS IN SUPERCONDUCTING CIRCUITS

Abstract

Interacting photons in superconducting circuits have recently emerged as a promising platform for quantum simulation thanks to their local controllability and long coherence times. In this thesis, we first show how signatures of the celebrated many-body localization transition can be simulated using interacting photons in a nine site superconducting circuit.The measurements of the relevant energy eigenenergies and eigenstates were done by implementing a novel many-body spectroscopy method we develop in collaboration with Google Quantum Hardware Group benchmarked first by measuring the Hofstadter butterfly. In the second part of the thesis, we theoretically explore topological pumping with interacting photons for robust quantum state transfer in nonlinear photonic lattices. In the last part the existence of hidden long range order in driven-dissipative lattices as function of the interplay of different external driving with dissipation is studied. Possibilities of applying these results in different area of quantum technologies are discussed throughout the thesis.