We consider the directed superradiant emission from a collection of N two-state atoms with arbitrary spatial locations within the framework of quantum trajectory theory and without a single-mode assumption. The formalism is developed around an unravelling of the master equation in terms of source mode quantum jumps. A modified boson approximation is made to treat the many-atom case, where it is found that strong directional superradiance occurs for a few thousand atoms, even with randomized atomic positions.
© 2008 Optical Society of America
Original Manuscript: January 3, 2008
Manuscript Accepted: January 22, 2008
Published: March 26, 2008
Ryan Nowak and James P. Clemens, "Quantum trajectory theory of superradiant emission from randomly distributed atomic samples," J. Opt. Soc. Am. B 25, 564-570 (2008)