A Monte Carlo Study of Superradiance

L. I. Men’shikov

Vasily V. Temnov, U. Woggon

Photon statistics in the cooperative spontaneous emission (Dickepsilas superradiance) is investigated by Monte-Carlo simulations. Giant photon bunching due to generation of superradiant photon pairs is predicted.

Yuan Zhang, Yu-Xiang Zhang, Klaus Mølmer

We simulate the superradiant dynamics of ensembles of atoms in the presence of collective and individual atomic decay processes. We apply the Monte-Carlo wave-function method and identify quantum jumps in a reduced Dicke state basis, which reflects the permutation symmetry of the system. While the number of density matrix elements in the Dicke representation increases polynomially with atom number, the quantum jump dynamics populates only a single Dicke state at the time and thus efficient simulations can be carried out for tens of thousands of atoms. The superradiant pulses from initially excited atoms agree quantitatively with recent experimental results of strontium atoms but rapid atom loss in these experiments does not permit steady-state superradiance. By introducing an incident flux of new atoms to maintain a large average atom number, our theoretical calculations predict lasing with a millihertz linewidth despite rapid atom number fluctuations.

Masuo Suzuki

P. V. Elyutin

A. Duncan, Robert D. Mawhinney, P. Stehle

It is shown that Monte Carlo methods can be fruitfully applied to the computation of quantum processes in the real-time (Minkowski) regime. The method is first explained in the context of a simple quantum-mechanical model, then applied to the problem of the quantized electromagnetic field interacting with a large number of discrete two-state systems (the problem of superradiance). Numerical results previously obtained by operator methods are reproduced in this framework and the calculations extended to much larger systems.