We first briefly review the non-Hermitian effective Hamiltonian approach to open quantum systems and the associated phenomenon of superradiance. We next discuss the superradiance crossover in the presence of disorder and the relationship between superradiance and the localization transition. Finally, we investigate the regime of validity of the energy-independent effective Hamiltonian approximation and show that the results obtained by these methods are applicable to realistic physical systems.
Celardo, G., Biella, A., Giusteri, G. G., Mattiotti, F., Zhang, Y., Kaplan, L., Superradiance, disorder, and the non-Hermitian Hamiltonian in open quantum systems, in Danielewicz, P., Levchenko, A., Zelevinsky, V. (ed.), THE FOURTH CONFERENCE ON NUCLEI AND MESOSCOPIC PHYSICS 2014, AIP Publishing, Melville, NY 2014: <<AIP Conference Proceedings>>, 64- 72. 10.1063/1.4899219 [http://hdl.handle.net/10807/60345]
Superradiance, disorder, and the non-Hermitian Hamiltonian in open quantum systems
Celardo, Giuseppe;Giusteri, Giulio Giuseppe;
2014
Abstract
We first briefly review the non-Hermitian effective Hamiltonian approach to open quantum systems and the associated phenomenon of superradiance. We next discuss the superradiance crossover in the presence of disorder and the relationship between superradiance and the localization transition. Finally, we investigate the regime of validity of the energy-independent effective Hamiltonian approximation and show that the results obtained by these methods are applicable to realistic physical systems.
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