Universal theory of multipartite cavity quantum electrodynamics
arXiv:1211.1584 · doi:10.1109/JQE.2013.2286578
Abstract
Cavity quantum electrodynamics of multipartite systems is studied in depth, which consist of an arbitrary number of emitters in interaction with an arbitrary number of cavity modes. The governing model is obtained by taking the full field-dipole and dipole-dipole interactions into account, and is solved in the Schrödinger picture without assumption of any further approximation. An extensive code is developed which is able to accurately solve the system and track its evolution with high precision in time, while maintaining sufficient degrees of arbitrariness in setting up the initial conditions and interacting partitions. Using this code, we have been able to numerically evaluate various parameters such as probabilities, expectation values (of field and atomic operators), as well as the concurrence as the most rigorously defined measure of entanglement of quantum systems. We present and discuss several examples including a seven-partition system consisting of six quantum dots interacting with one cavity mode. We observe for the first time that the behavior of quantum systems under ultrastrong coupling is significantly different than the weakly and strongly coupled systems, marked by onset of a chaos and abrupt phase changes. We also discuss how to implement spin into the theoretical picture and thus successfully simulate a recently reported spin-entanglement experiment.
21 figures, PACS 42.50.Gy, 42.50.Pq, 05.45.Mt, 42.65.Sf
References in corpus (12)
- Quantum nature of a strongly-coupled single quantum dot-cavity system
- Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
- Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
- Deep Strong Coupling Regime of the Jaynes-Cummings model
- Ultra-Strong Light-Matter Coupling Regime with Polariton Dots
- Light-matter decoupling in the deep strong coupling regime: The breakdown of the Purcell effect
- Spontaneous Conversion from Virtual to Real Photons in the Ultrastrong Coupling Regime
- Experimental Observation of Quantum Chaos in a Beam of Light
- Highly efficient single photon emission from single quantum dots within a two-dimensional photonic bandgap
- Efficient Spatial Redistribution of Quantum Dot Spontaneous Emission from 2D Photonic Crystals
- Cavity Quantum Electrodynamics in the Ultrastrong Coupling Regime
- Optical Modulation by Conducting Interfaces