Quantum fluctuations and uncertainty relations in NLS solitons and breathers
This event is part of the Biophysics/Condensed Matter Seminar Series.
We consider the quantum fluctuations of the macroscopic variables associated with a breather, a second-order soliton solution of nonlinear Schrödinger equation. Linearizing the evolution of the bosonic quantum field around the Bose condensate in a breather state, we express the quantum fluctuations of the macroscopic variables through the fluctuations of the full quantum field. We evaluate the initial quantum uncertainties of the macroscopic parameters and their time evolution. We finally describe how the macroscopic fluctuations affect the time evolution of the atomic density and estimate the propagation time needed for an experimental detection of the predicted effects.