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Q: Fachverband Quantenoptik und Photonik
Q 10: Ultra-cold atoms, ions, and BEC II (joint session A/Q)
Q 10.2: Vortrag
Montag, 9. März 2020, 14:30–14:45, f303
Quantum fluctuations and uncertainty relations in NLS solitons and breathers — •Oleksandr Marchukov1, 2, Boris Malomed2, Maxim Olshanii3, Vanja Dunjko3, Randall Hulet4, and Vladimir Yurovsky2 — 1Technische Universität Darmstadt, Darmstadt, Germany — 2Tel Aviv University, Tel Aviv-Yaffo, Israel — 3University of Massachusetts Boston, Boston, MA, USA — 4Rice University, Houston, TX, USA
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 compare two models for the state of the quantum field of fluctuations surrounding the classical field of the Bose-Einstein condensate: a conventionally used, computationally convenient "white noise", and a correlated noise which assumes that the breather has been created from a fundamental soliton, by means of the application of the factor-of-four quench of the nonlinearity strength. We evaluate the initial quantum uncertainties of the macroscopic parameters and their time evolution. This approach is well suited for the description of Bose gas with large number of atoms and suggests the possibility for experimental observation of macroscopic quantum fluctuations.