I show unambiguously that, in a slab geometry, the direction of emission of the super-radiant pulse from the lower two levels' transition in an ensemble of a three-level cascade homogeneously broadened atomic system, which was initially prepared in a nearly fully inverted coherent state, exhibits high sensitivity to the value of the initial atomic population for the case that the slab thickness is equal to $n{\ensuremath{\lambda}}_{0}/2$ ( $n$ is an integer and ${\ensuremath{\lambda}}_{0}$ is the wavelength of the atomic transition). Specifically, I compute, in this regime, the swings in the ratio of the forward over backward fluxes for both transitions as a function of the initial population of the highest energy level.I show unambiguously that, in a slab geometry, the direction of emission of the super-radiant pulse from the lower two levels' transition in an ensemble of a three-level cascade homogeneously broadened atomic system, which was initially prepared in a nearly fully inverted coherent state, exhibits high sensitivity to the value of the initial atomic population for the case that the slab thickness is equal to $n{\ensuremath{\lambda}}_{0}/2$ ($n$ is an integer and ${\ensuremath{\lambda}}_{0}$ is the wavelength of the atomic transition). Specifically, I compute, in this regime, the swings in the ratio of the forward over backward fluxes for both transitions as a function of the initial population of the highest energy level.

Physical Review AFeb 16, 20161 citation

Eigenmode analysis of superradiance

Jamal T. Manassah

Previous numerical work on the spatiotemporal distributions of the atomic polarization and of the difference in levels population of a one-dimensional system of two-level atoms initially inverted strongly suggested that the dynamics of the slab atomic ensemble in the linear regime of superradiance may best be treated by an eigenmode analysis. This method proved effective in obtaining both the time dependence of the atomic polarization and the spectral distribution of the emitted radiation from the slab in a number of physically interesting problems in the linear regime. In the present paper, I use the eigenfunction expansion technique to reduce the Maxwell-Bloch system of partial differential equations into a system of coupled first-order ordinary differential equations whose solutions clearly detail the contributions of the different modes to the system dynamics in the nonlinear regime of superradiant emission. I compute also the delay in time of the peak of the superradiant burst and its magnitude as functions of the ratio of the longitudinal decay rate to the transverse decay rate of the system.Previous numerical work on the spatiotemporal distributions of the atomic polarization and of the difference in levels population of a one-dimensional system of two-level atoms initially inverted strongly suggested that the dynamics of the slab atomic ensemble in the linear regime of superradiance may best be treated by an eigenmode analysis. This method proved effective in obtaining both the time dependence of the atomic polarization and the spectral distribution of the emitted radiation from the slab in a number of physically interesting problems in the linear regime. In the present paper, I use the eigenfunction expansion technique to reduce the Maxwell-Bloch system of partial differential equations into a system of coupled first-order ordinary differential equations whose solutions clearly detail the contributions of the different modes to the system dynamics in the nonlinear regime of superradiant emission. I compute also the delay in time of the peak of the superradiant burst and its magnitude as functions of the ratio of the longitudinal decay rate to the transverse decay rate of the system.

Physical Review AMay 12, 201414 citations

Dynamics of superradiant emission

Joseph H. Eberly, Nicholas E. Rehler

Physics Letters AApr 1, 196948 citations

Super- and subradiant dynamics of quantum emitters mediated by atomic matter waves

Youngshin Kim, Alfonso Lanuza, Dominik Schneble

arXiv:2311.09474Nature PhysicsNov 18, 20249 citations

n

is an integer and ${\ensuremath{\lambda}}_{0}$ is the wavelength of the atomic transition). Specifically, I compute, in this regime, the swings in the ratio of the forward over backward fluxes for both transitions as a function of the initial population of the highest energy level.