A. Sindona, J. Goold, N. Lo Gullo, S. Lorenzo, F. Plastina
The Fermi edge singularity and the Anderson orthogonality catastrophe describe the universal physics which occurs when a localized scattering potential is suddenly introduced in a Fermi sea leading to a brutal disturbance of the ground state. We demonstrate that the effect can be seen in the controllable domain of ultracold trapped gases by providing an analytic description the out-of-equilibrium response to an atomic impurity, both at zero and at finite temperature. Furthermore, we link the transient behavior of the gas to the decoherence of the impurity, and, in particular to the amount of non-markovianity present in its dynamics.
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http://arxiv.org/abs/1211.1398
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