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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 Marchukov^{1, 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.