Project overview
This project investigates the statistical properties of ultracold Bose gases produced with modern cooling techniques. Recent experiments have shown that conventional statistical models do not fully describe fluctuations and correlations observed in state-of-the-art Bose–Einstein condensates. The goal of the project is to develop new theoretical and numerical methods capable of accurately modelling these systems and to study the consequences of reduced fluctuations for coherence, correlations, and precision measurements in quantum technologies.
Task 1
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Statistical description of ultracold gases after cooling
This task aims to develop new statistical models describing ultracold Bose gases produced with modern cooling techniques. The project will combine stochastic simulations of cooling dynamics with stationary hybrid statistical ensembles to determine which statistical description best reproduces current experiments. Both analytical and numerical methods will be applied in one- and three-dimensional systems.
Task 2
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Correlation functions and coherence
The second task focuses on studying spatial correlation functions and coherence properties of ultracold gases in different statistical ensembles. The project will investigate the emergence of coherence, density fluctuations, and atom bunching during cooling processes, using analytical and numerical approaches for interacting Bose gases.
Task 3
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Applications to metrology and interferometry
The final task investigates the impact of reduced statistical fluctuations on precision measurements and atom interferometry. The developed models will be used to study uncertainties in parameter estimation and decoherence effects in Bose–Einstein-condensate interferometers, with the goal of improving precision in quantum metrology experiments.
