# Many-body phenomena in QED-cavity arrays [Invited]

@article{Tomadin2010ManybodyPI, title={Many-body phenomena in QED-cavity arrays [Invited]}, author={Andrea Tomadin and Rosario Fazio}, journal={Journal of The Optical Society of America B-optical Physics}, year={2010}, volume={27} }

Coupled quantum electrodynamics (QED) cavities have been recently proposed as new systems to simulate a variety of equilibrium and nonequilibrium many-body phenomena. We present a brief review of their main properties together with a survey of the latest developments of the field and some perspectives concerning their experimental realizations and possible new theoretical directions.

## 82 Citations

Simulating Topological Effects with Photons in Coupled QED Cavity Arrays

- Physics
- 2014

We provide a pedagogical account of an early proposal realizing fractional quantum Hall effect (FQHE) using coupled quantum electrodynamics (QED) cavity arrays (CQCAs). We start with a brief…

Quantum Superconducting Networks: From Josephson to QED Arrays

- PhysicsFundamentals and Frontiers of the Josephson Effect
- 2019

Superconducting networks have been successfully employed over many decades to explore equilibrium phases and dynamical properties of several paradigmatic models in statistical mechanics. Under…

Phase diagram of a QED-cavity array coupled via a N-type level scheme

- Physics
- 2015

We study the zero-temperature phase diagram of a one-dimensional array of QED cavities where, besides the single-photon hopping, an additional coupling between neighboring cavities is mediated by an…

Strongly Correlated Polaritons in Nonlinear Cavity Arrays

- Physics
- 2017

Arrays of coupled QED cavities have been proposed as promising candidates to study hybrid many-body states of light and matter in a controlled way. The rich scenario emerging in these systems stems…

Cavity-Loss Induced Plateau in Coupled Cavity QED Array

- Physics
- 2014

Nonequilibrium steady states are investigated in a coupled cavity QED array system which is pumped by a thermal bath and dissipated through cavity loss. In the coherent (non-zero photon amplitude)…

Effective spin physics in two-dimensional cavity QED arrays

- Physics
- 2017

We investigate a strongly correlated system of light and matter in two-dimensional cavity arrays. We formulate a multimode Tavis–Cummings (TC) Hamiltonian for two-level atoms coupled to cavity modes…

Quench dynamics of a disordered array of dissipative coupled cavities

- Physics, MedicineProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2014

The evolution of an initially prepared Fock state is followed, and it is shown how the interplay between dissipation and disorder affects the coherence properties of the cavity emission, and these properties can be used as signatures of the many-body phase of the whole array.

Keldysh field theory for driven open quantum systems.

- Physics, MedicineReports on progress in physics. Physical Society
- 2016

This work provides a systematic introduction to the open system Keldysh functional integral approach, which is the proper technical tool to accomplish a merger of quantum optics and many-body physics, and leverages the power of modern quantum field theory to driven open quantum systems.

Quantum Simulation with Trapped Ions—Experimental Realization of the Jaynes-Cummings-Hubbard Model—

- Physics
- 2016

We present an experimental demonstration of the Jaynes-Cummings-Hubbard model conducted using trapped ions. This model describes an array of coupled optical cavities, each containing a two-level…

Many-body quantum electrodynamics networks: Non-equilibrium condensed matter physics with light

- Physics
- 2016

We review recent developments concerning non-equilibrium quantum dynamics and many-body physics with light, in superconducting circuits and Josephson analogues. We start with quantum impurity models…

## References

SHOWING 1-10 OF 47 REFERENCES

Strongly Interacting Polaritons in Coupled Arrays of Cavities

- Physics
- 2007

The experimental observation of quantum phenomena in strongly correlated many particle systems is difficult because of the short length-and timescales involved. Obtaining at the same time detailed…

Quantum many-body phenomena in coupled cavity arrays

- Physics
- 2008

The increasing level of experimental control over atomic and optical systems gained in the past years have paved the way for the exploration of new physical regimes in quantum optics and atomic…

Polaritonic characteristics of insulator and superfluid states in a coupled-cavity array

- Physics
- 2008

Recent studies of quantum phase transitions in coupled atom-cavity arrays have focused on the similarities between such systems and the Bose-Hubbard model. However, the bipartite nature of the…

Solitonic behaviour in coupled multi atom-cavity systems

- Physics
- 2009

In view of current research effort on semiconducting photonic-crystal defect microcavities, we consider the dynamics of an array of coupled optical cavities, each containing an ensemble of qubits. By…

Quantum phase transitions in photonic cavities with two-level systems

- Physics
- 2008

Systems of coupled photonic cavities have been predicted to exhibit quantum phase transitions by analogy with the Hubbard model. To this end, we have studied topologies of few (up to six) photonic…

Fermionized photons in an array of driven dissipative nonlinear cavities.

- Physics, MedicinePhysical review letters
- 2009

This work theoretically investigates the optical response of a one-dimensional array of strongly nonlinear optical microcavities, and signatures of strong correlations are identified in the transmission spectrum of the system, as well as in the intensity correlations of the transmitted light.

Fractional quantum Hall state in coupled cavities.

- Physics, MedicinePhysical review letters
- 2008

The scheme, for the first time, exploits the core advantage of coupled cavity simulations, namely, the individual addressability of the components, and also brings the gauge potential into such simulations as well as the simple optical creation of particles.

Reproducing spin lattice models in strongly coupled atom-cavity systems

- Physics
- 2008

In an array of coupled cavities where the cavities are doped with an atomic V-system, and the two excited levels couple to cavity photons of different polarizations, we show how to construct various…

Photon-blockade-induced Mott transitions and XY spin models in coupled cavity arrays

- Physics
- 2007

We propose a physical system where photons could exhibit strongly correlated effects. We demonstrate how a Mott-insulator phase of atom-photon excitations (polaritons) can arise in an array of…

Effective spin systems in coupled microcavities.

- Physics, MedicinePhysical review letters
- 2007

It is shown that atoms trapped in microcavities that interact via the exchange of virtual photons can model an anisotropic Heisenberg spin-1/2 lattice in an external magnetic field, and the model provides a feasible way to create cluster states in these devices.