Exceptional Points in Atomic Spectra

Abstract

We report the existence of exceptional points for the hydrogen atom in crossed magnetic and electric fields in numerical calculations. The resonances of the system are investigated and it is shown how exceptional points can be found by exploiting characteristic properties of the degeneracies, which are branch point singularities. A possibility for the observation of exceptional points in an experiment with atoms is proposed.

4 pages, 4 figures, 1 table, to be published in Physical Review Letters

References in corpus (5)

• Repulsion of Resonance States and Exceptional Points
• Observation of a Chiral State in a Microwave Cavity
• Phases of Wave Functions and Level Repulsion
• Semiclassical quantization of the hydrogen atom in crossed electric and magnetic fields
• Closed orbits and their bifurcations in the crossed-fields hydrogen atom

Cited by in corpus (68)

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• Quantum critical behavior influenced by measurement backaction in ultracold gases
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• Observation of Exceptional Points in Thermal Atomic Ensembles
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• Exceptional points in the spectra of atoms in external fields
• Floquet exceptional points and chirality in non-Hermitian Hamiltonians
• State Flip at Exceptional Points in Atomic Spectra
• Optical lattices with exceptional points in the continuum
• Non-Hermitian scattering on a tight-binding lattice
• Non-adiabatic Modal Dynamics around Exceptional Points in an All-Lossy Dual-Mode Optical Waveguide: Towards Chirality Driven Asymmetric Mode-Conversion
• Fingerprints of exceptional points in the survival probability of resonances in atomic spectra
• Restoring Adiabatic State Transfer in Time-Modulated Non-Hermitian Systems
• Scattering Experiments with Microwave Billiards at an Exceptional Point under Broken Time Reversal Invariance
• Application of Pseudo-Hermitian Quantum Mechanics to a Complex Scattering Potential with Point Interactions
• Rydberg systems in parallel electric and magnetic fields: an improved method for finding exceptional points
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• Exceptional points in coupled dissipative dynamical systems
• Bifurcations, order, and chaos in the Bose-Einstein condensation of dipolar gases
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• Analysis technique for exceptional points in open quantum systems and QPT analogy for the appearance of irreversibility
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• Harmonic inversion analysis of exceptional points in resonance spectra
• Higher order topological degeneracies and towards unique successive state-switching in a four-level open system
• Non-divergent representation of non-Hermitian operator near the exceptional point with application to a quantum Lorentz gas
• Bifurcations and exceptional points in a PT-symmetric dipolar Bose-Einstein condensate
• Non-hermiticity in spintronics: oscillation death in coupled spintronic nano-oscillators through emerging exceptional points
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• Exceptional points in two simple textbook examples
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• Shortcuts to adiabatic state transfer in time-modulated two-level non-Hermitian systems
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• Rydberg excitons in electric and magnetic fields obtained with the complex-coordinate-rotation method
• Imperfect chirality at exceptional points in optical whispering-gallery microcavities
• Fictitious time wave packet dynamics: II. Hydrogen atom in external fields
• Quasiscarred modes and their branching behavior at an exceptional point
• Reconfiguration of quantum states in $\mathcal{P}T$-symmetric quasi-one dimensional lattices
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• Signatures of the classical transition state in atomic quantum spectra
• Enhanced quantum sensing in time-modulated non-Hermitian systems
• Decay Rates of Optical Modes Unveil the Island Structures in Mixed Phase Space
• New insights into mode behaviours in waveguides with impedance boundary conditions
• Topological state permutations in time-modulated non-Hermitian multiqubit systems with suppressed non-adiabatic transitions
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• Gaussian-process-regression-based method for the localization of exceptional points in complex resonance spectra
• Winding around Non-Hermitian Singularities: General Theory and Topological Features
• Exceptional points in the elliptical three-disk scatterer using semiclassical periodic orbit quantization
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• State Diagram of the Non-Reciprocal Cahn-Hilliard Model and the Effects of Symmetry
• Spectral branch points of the Bloch-Torrey operator