State Flip at Exceptional Points in Atomic Spectra

Abstract

We study the behavior of the non-adiabatic population transfer between resonances at an exceptional point in the spectrum of the hydrogen atom. It is known that, when the exceptional point is encircled, the system always ends up in the same state, independent of the initial occupation within the two-dimensional subspace spanned by the states coalescing at the exceptional point. We verify this behavior for a realistic quantum system, viz. the hydrogen atom in crossed electric and magnetic fields. It is also shown that the non-adiabatic hypothesis can be violated when resonances in the vicinity are taken into account. In addition, we study the non-adiabatic population transfer in the case of a third-order exceptional point, in which three resonances are involved.

9 pages, 9 figures, one additional figure, minor additions in the text

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Cited by in corpus (23)

• Dynamically encircling exceptional points: Exact evolution and polarization state conversion
• Relation between $\mathcal{P}\mathcal{T}$-symmetry breaking and topologically nontrivial phases in the SSH and Kitaev models
• Incident Direction Independent Wave Propagation and Unidirectional Lasing
• Chiral state-conversion without encircling an exceptional point
• Exceptional Points and Asymmetric Mode Switching in Plasmonic Waveguides
• $\mathcal{P}\mathcal{T}$-symmetric wave guide system with evidence of a third-order exceptional point
• Parity-time symmetric coupled asymmetric dimers
• Vortices in Bose-Einstein condensates with $\mathcal{P}\mathcal{T}$-symmetric gain and loss
• Third-order Exceptional Point and Successive Switching among Three States in a Degenerate Optical Microcavity
• Non-adiabatic transitions through exceptional points in the band structure of a PT-symmetric lattice
• Rydberg systems in parallel electric and magnetic fields: an improved method for finding exceptional points
• Unconventional next nearest neighbor resonance coupling and states flipping mechanism in degenerate optical microcavities
• Nonlinearity Induced Anomalous Mode Collapsing and Non-chiral Asymmetric Mode Switching around multiple Exceptional Points
• Topological edge states in the Su-Schrieffer-Heeger model subject to balanced particle gain and loss
• Exotic states in the strong field control of H${}_2^{+}$ dissociation dynamics: From exceptional points to zero-width resonances
• Higher order topological degeneracies and towards unique successive state-switching in a four-level open system
• Two-dimensional phase-space picture of the photonic crystal Fano laser
• Simple models of three coupled $\mathcal{P}\mathcal{T}$-symmetric wave guides allowing for third-order exceptional points
• Nonadiabatic Modal Dynamics Around a Third-order Exceptional Point in a planar waveguide
• Dynamical evolution of an effective two-level system with PT symmetry
• Population transfer at exceptional points in spectra of the hydrogen atom in parallel electric and magnetic fields
• State conversions around exceptional points
• Characteristic influence of exceptional points in quantum dynamics