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Collective dynamics of cold atoms in a cavity


Cavity cooling is an efficient method for the cooling of atoms and molecules. In general it can be applied on an arbitrary particle with induced dipole moment. The friction mechanism relies on the strongly coupled, non-linear dynamics of the atomic centre-of-mass motion and the radiation field contained in a high-finesse optical resonator. The project objective is to study new effects in the three-dimensional, dissipative motion of atoms in a cavity, that are:
1.The combination of the cooling and trapping dynamics with an interference effect that occurs when both components of the coupled atom-cavity system are simultaneously pumped;

2.The cavity-mediated atom-atom correlation that underlies the dramatic many-body effects in a dilute gas of atoms, and its possible role in the enhancement of the formation of molecules by photo-association of atom pairs;

3.The self-organization of driven atoms into a regular pattern, which is accompanied by a collective cooling and super radiant light scattering into the cavity, in the large atom number limit (above 10000 atoms);

4.The quintile motion of atoms in the cavity field to describe the dissipative dynamics of a Base-Einstein condensate as well as the possible entanglement resulting from the correlated motion of remote atoms in the cavity. The theoretical approach is based on an effective master equation that we solve in the semi classical limit by powerful phase-space methods. Using a truncated Wagner function expansion, we derived coupled stochastic Ito equations, and their numerical integration yields random trajectories in phase space. Physical quantities can be extracted by ensemble averaging over many runs. The quantum motion can be treated using the Quantum Monte Carlo Wave function method to solve the same effective master equation.

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