Circuit QED lattices: Towards quantum simulation with superconducting circuits

By S. Schmidt, Jens Koch. 2012

262 citations recorded by the source corpus.

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.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/26a0cc6e05dc4eca86607770796c13f24ba521dc

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Citations in the corpus

Light–matter interaction in the long-wavelength limit: no ground-state without dipole self-energy (2018, background): “So far nonrelativistic QED has not been applied much in practice due to its inherent computational complexity, but recent approaches such as the formally exact density-functional reformulation of QED [6, 25, 26], generalized Green’s function methods [27] or extensions of quantum-chemical approximati”
Tunable-range, photon-mediated atomic interactions in multimode cavity QED (2017, background): “However, it has been suggested that this challenge may be met either by employing networks of single-mode cavities [20, 21], using squeezed light to engineer interactions [22], or by using a single multimode cavity [13, 17, 23].”
Low-Disorder Microwave Cavity Lattices for Quantum Simulation with Photons (2012, background): “Making these systems an ideal platform in which to study the physics of non-equilibrium systems [47, 75, 88].”
Keldysh field theory for driven open quantum systems (2015, methodology): “This gives rise to many-body variants of the Rabi model [134], whose phase diagrams have been studied recently [135–137].”
Circuit quantum electrodynamics (2020, background): “This leads to effects such as photon blockade bearing some similarities to Coulomb blockade in mesoscopic systems (Schmidt and Koch, 2013).”
Microwave photonics with superconducting quantum circuits (2017, background): “Such coupled resonators are commonly realized using interconnecting capacitors [141].”