Floquet-engineered nondispersive wave packets in helium under combined periodic and static fields
Alejandro Gonz\'alez-Melan, John Fitzgerald Le\'on Ocampo, Javier Madro\~nero

TL;DR
This paper demonstrates the numerical discovery of nondispersive, localized two-electron wave packets in helium under combined periodic and static fields, using advanced spectral and Floquet methods.
Contribution
It introduces a novel numerical approach to observe nondispersive wave packets in a three-dimensional helium system with combined fields, revealing long-lived Floquet states.
Findings
Identification of nondispersive wave packets following classical trajectories
Observation of long-lived Floquet states from near-resonant couplings
Use of Coulomb-Sturmian functions with Floquet theory and complex scaling
Abstract
We report the numerical observation of two-electron nondispersive wave packets in fully three-dimensional helium subjected to a linearly polarized monochromatic field. These localized quantum states follow periodic trajectories of the classical three-body Coulomb system without dispersion. The system is modeled using a spectral configuration interaction approach based on Coulomb-Sturmian functions, combined with Floquet theory and complex scaling. The resulting quasienergy spectrum reveals the existence of long-lived Floquet states arising from near-resonant coupling between frozen planet configurations.
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Taxonomy
TopicsQuantum, superfluid, helium dynamics · Cold Atom Physics and Bose-Einstein Condensates · Quantum chaos and dynamical systems
