## Quantum fluctuations and uncertainty relations in NLS solitons and breathers

**Speaker:**Oleksandr Marchukov, Tel Aviv University and UMASS Boston

**When:**April 19, 2019 (Fri), 12:00PM to 01:00PM (add to my calendar)

**Location:**SCI 352

**Hosted by:**Anatoli Polkovnikov

*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 SchrÃ¶dinger 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.