Speaker
Description
We derive and solve a markovian master equation for the internal dynamics of an ensemble of indistinguishable two-level atoms including all effects related to the quantization of their motion [1]. Our equation provides a unifying picture of the consequences of recoil and indistinguishability of atoms beyond the Lamb-Dicke regime on both their dissipative and conservative internal dynamics, and is relevant for experiments with ultracold atoms. We give general expressions for the decay rates and the dipole-dipole shifts for any motional states, and we find analytical formulas for a number of relevant states (Gaussian states, Fock states and thermal states). We show that dipole-dipole interactions and cooperative spontaneous emission can be modulated through the motional state of atoms. As an application, we study the impact of the quantized atomic motion on Dicke super- and subradiance [2]. In particular, we compute the radiated energy rate up to 30 atoms and provide analytical predictions for large number of atoms based on a mean-field approach [3,4].
[1] F. Damanet, D. Braun, and J. Martin, Phys. Rev. A 93, 022124 (2016).
[2] R. H. Dicke, Phys. Rev. 93, 99 (1954).
[3] M. Gross and S. Haroche, Phys. Rep. 93, 301 (1982).
[4] H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, 2006).
