Exploring classically chaotic potentials with a matter wave quantum probe
Giovanni Luca Gattobigio (LCAR, LKB - Lhomond), Antoine Couvert, (LCAR), Bertrand Georgeot (LPT), David Guery-Odelin (LCAR)

TL;DR
This paper investigates how a quantum probe interacts with a tunable attractive potential, demonstrating a transition from regular to chaotic behavior and exploring quantum-classical correspondence through experiments and simulations.
Contribution
It introduces an experimental setup to study quantum chaos using a guided atom laser interacting with a localized potential, highlighting the quantum versus classical dynamics.
Findings
Clear experimental signature of the transition from regular to chaotic behavior.
Numerical simulations compare quantum and classical predictions.
System offers new insights into quantum scattering and chaos.
Abstract
We study an experimental setup in which a quantum probe, provided by a quasi-monomode guided atom laser, interacts with a static localized attractive potential whose characteristic parameters are tunable. In this system, classical mechanics predicts a transition from a regular to a chaotic behavior as a result of the coupling between the longitudinal and transverse degrees of freedom. Our experimental results display a clear signature of this transition. On the basis of extensive numerical simulations, we discuss the quantum versus classical physics predictions in this context. This system opens new possibilities for investigating quantum scattering, provides a new testing ground for classical and quantum chaos and enables to revisit the quantum-classical correspondence.
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