A quantum trajectory unraveling of the superradiance master equation

Jan Dereziński, Wojciech De Roeck, Christian Maes

Howard M. Wiseman, Joan A. Vaccaro

R. Bonifacio, P. Schwendimann

Ryan Nowak, James Clemens

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.

Manuel O. Cáceres, Adrián A. Budini, Ana Karina Chattah

James D. Cresser, Sarah Croke

Non-Markovian master equations are constructed from underlying classical stochastic processes. These equations therefore have quantum trajectory unravellings, including unravellings that have an immediate measurement interpretation, usually only found for Markovian (Lindblad) master equations.