Quasi-integrability and nonlinear resonances in cold atoms under modulation

Autor: Rahul Gupta, Manan Jain, Sudhir R. Jain
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Royal Society Open Science, Vol 11, Iss 4 (2024)
Druh dokumentu: article
ISSN: 2054-5703
DOI: 10.1098/rsos.231503
Popis: Quantum dynamics of a collection of atoms subjected to phase modulation has been carefully revisited. We present an exact analysis of the evolution of a two-level system (represented by a spinor) under the action of a time-dependent matrix Hamiltonian. The dynamics is shown to evolve on two coupled potential energy surfaces (PESs): one of them is binding, while the other one is scattering type. The dynamics is shown to be quasi-integrable with nonlinear resonances. The bounded dynamics with intermittent scattering at random moments presents a scenario reminiscent of Anderson and dynamical localization. We believe that a careful analytical investigation of a multi-component system that is classically non-integrable is relevant to many other fields, including quantum computation with multi-qubit systems.
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