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Related Experiment Video

Updated: May 13, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Phase transition of light on complex quantum networks.

Arda Halu¹, Silvano Garnerone, Alessandro Vezzani

¹Department of Physics, Northeastern University, Boston, Massachusetts 02115, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|March 19, 2013

Summary

Quantum networks with complex topologies exhibit unique phase diagrams for light-matter interactions. Specific scaling of the hopping coefficient enables quantum phase transitions even with weak light-matter couplings.

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Area of Science:

Quantum optics
Atomic physics
Condensed matter theory

Background:

Advances in quantum optics and atomic physics enable precise control over light-matter interactions.
Investigating new physical phenomena requires understanding complex quantum network topologies.

Purpose of the Study:

To explore the role of topology in quantum networks of coupled optical cavities and atomic degrees of freedom.
To study the phase diagram of the Jaynes-Cummings-Hubbard model on complex network topologies.

Main Methods:

Utilized a mean-field approximation to analyze the Jaynes-Cummings-Hubbard model.
Investigated the phase transition between Mott-like and superfluid phases.
Examined the scaling of the hopping coefficient with network topology.

Main Results:

A nontrivial phase diagram for complex topologies requires the hopping coefficient to scale inversely with the network's maximal eigenvalue.
This scaling leads to an asymptotically vanishing hopping coefficient for large networks.
Numerical evidence supports these findings for specific complex network topologies.

Conclusions:

The study reveals that specific topological properties dictate the phase diagram of quantum networks.
The findings suggest the possibility of observing quantum phase transitions in light on complex quantum networks with weak inter-cavity couplings.