Rostock 2019 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 21: Quantum Gases (Bosons) II

Q 21.4: Talk

Monday, March 11, 2019, 17:00–17:15, S HS 037 Informatik

Mapping between a slow evolution and a Floquet problem using a Bose gas in the mean-field regime — •Etienne Wamba, Axel Pelster, and James Anglin — Technische Universität Kaiserslautern, 67663, Kaiserslautern, Germany

Based on our recent results on the exact quantum field mappings between different experiments on quantum gases [1], we construct a mean-field model of many-body systems with rapid periodic driving. The single-particle potential and the inter-particle interaction strength are both time-dependent at once, in a related way. We map the evolutions of the model system onto evolutions with slowly varying parameters. Such a mapping between a Floquet evolution and a very slow process allows us to investigate non-equilibrium many-body dynamics and examine how rapidly driven systems may avoid heating up, at least when mean-field theory is still valid. From that special but interesting case, we learn that rapid periodic driving may not yield heating because the time evolution of the system has a kind of hidden adiabaticity, inasmuch as it can be mapped exactly onto that of an almost static system.