Super- and subradiance from indistinguishable atoms with quantized motion

May 18, 2016, 2:45 PM
8h 15m
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Speaker

François DAMANET (Institut de Physique Nucléaire, Atomique et de Spectroscopie, Université de Liège, Bât. B15, B - 4000 Liège, Belgium)

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).

Primary authors

Prof. Daniel BRAUN (Universität Tübingen) François DAMANET (Institut de Physique Nucléaire, Atomique et de Spectroscopie, Université de Liège, Bât. B15, B - 4000 Liège, Belgium) John MARTIN (Institut de Physique Nucléaire, Atomique et de Spectroscopie, Université de Liège, Bât. B15, B - 4000 Liège, Belgium)

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