Complex time method for quantum dynamics when an exceptional point is encircled in the parameter space

DOI10.1016/J.AOP.2022.168939zbMath1500.81033arXiv2110.14473OpenAlexW4283379721MaRDI QIDQ2159266

Petra Ruth Kaprálová-Žďánská

Publication date: 29 July 2022

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.14473

zbMATH Keywords

transition pointPuiseux expansionrapid adiabatic passagebound-to-resonance transitioncomplex time methodexceptional point encirclinglinearly chirped Gaussian pulse

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Complex multiplication and moduli of abelian varieties (11G15) Resonance in context of PDEs (35B34) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Transition functions, generators and resolvents (60J35) Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics (70H11)

Related Items (3)

Equations of motion governing the dynamics of the exceptional points of parameterically dependent nonhermitian Hamiltonians ⋮ Coalescence of two branch points in complex time marks the end of rapid adiabatic passage and the start of Rabi oscillations ⋮ Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference

Cites Work

• Adiabatic perturbation theory and geometry of periodically-driven systems
• Adiabatic passage for a lossy two-level quantum system by a complex time method
• Non-Hermitian Quantum Mechanics
• On the observability and asymmetry of adiabatic state flips generated by exceptional points
• Visualization of Branch Points in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">P</mml:mi><mml:mi mathvariant="script">T</mml:mi></mml:math>-Symmetric Waveguides
• Nonadiabatic transitions for a decaying two-level system: geometrical and dynamical contributions
• A non-Hermitian Hamilton operator and the physics of open quantum systems
• Non-adiabatic crossing of energy levels
• The physics of exceptional points
• Exceptional points in optics and photonics

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