Circuit QED lattices: Towards quantum simulation with superconducting circuits

Sebastian Schmidt*, Jens Koch

*Corresponding author for this work

Research output: Contribution to journalReview articlepeer-review

240 Scopus citations


The Jaynes-Cummings model describes the coupling between photons and a single two-level atom in a simplified representation of light-matter interactions. In circuit QED, this model is implemented by combining microwave resonators and superconducting qubits on a microchip with unprecedented experimental control. Arranging qubits and resonators in the form of a lattice realizes a new kind of Hubbard model, the Jaynes-Cummings-Hubbard model, in which the elementary excitations are polariton quasi-particles. Due to the genuine openness of photonic systems, circuit QED lattices offer the possibility to study the intricate interplay of collective behavior, strong correlations and non-equilibrium physics. Thus, turning circuit QED into an architecture for quantum simulation, i.e., using a well-controlled system to mimic the intricate quantum behavior of another system too daunting for a theorist to tackle head-on, is an exciting idea which has served as theorists' playground for a while and is now also starting to catch on in experiments. This review gives a summary of the most recent theoretical proposals and experimental efforts.

Original languageEnglish (US)
Pages (from-to)395-412
Number of pages18
JournalAnnalen der Physik
Issue number6
StatePublished - Jun 2013

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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