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arXiv · 1512.06676

Master equation for collective spontaneous emission with quantized atomic motion

François Damanet·Daniel Braun·John Martin
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Abstract

We derive a markovian master equation for the internal dynamics of an ensemble of two-level atoms including all effects related to the quantization of their motion. 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 dynamics, and applies equally well to distinguishable and indistinguishable atoms. We give general expressions for the decay rates and the dipole-dipole shifts for any motional states, and we find closed-form formulas for a number of relevant states (Gaussian states, Fock states and thermal states). In particular, we show that dipole-dipole interactions and cooperative photon emission can be modulated through the external state of motion.

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François Damanet, Daniel Braun, John Martin. 2015-12-24. Master equation for collective spontaneous emission with quantized atomic motion. https://doi.org/10.1103/physreva.93.022124

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