Abstract
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.
Original language | English |
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Article number | 231503 |
Number of pages | 13 |
Journal | Royal Society Open Science |
Volume | 11 |
Issue number | 4 |
DOIs | |
Publication status | Published - 10 Apr 2024 |
Bibliographical note
Acknowledgements:We thank Sandeep Joshi for several helpful discussions. R.G. acknowledges the fellowship support received from CSIR-HRDG.
Keywords
- ultracold atoms
- dynamical localization
- quantum chaos
- semiclassical methods
- quasi-integrability