On the observability and asymmetry of adiabatic state flips generated by exceptional points

DOI10.1088/1751-8113/44/43/435302zbMath1230.81027OpenAlexW2150440056MaRDI QIDQ3098125

Raam Uzdin, Alexei A. Mailybaev, Nimrod Moiseyev

Publication date: 17 November 2011

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/2b8ce4b37bcdd130933931355fe90345cd26f6e1

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics (70H11)

Related Items (12)

Bloch vector, disclination and exotic quantum holonomy ⋮ Classical correspondence of the exceptional points in the finite non-Hermitian system ⋮ Coalescence of two branch points in complex time marks the end of rapid adiabatic passage and the start of Rabi oscillations ⋮ Complex time method for quantum dynamics when an exceptional point is encircled in the parameter space ⋮ Non-Hermitian time-dependent perturbation theory: asymmetric transitions and transitionless interactions ⋮ Loschmidt Echo and Fidelity Decay Near an Exceptional Point ⋮ Proximity‐Encirclement of Multiple Exceptional Points in Non‐Hermitian Photonic Waveguides ⋮ Graph theory approach to exceptional points in wave scattering ⋮ Eigenstates swapping induced by encircling an exceptional point of the non-Hermitian Hamiltonian ⋮ Floquet exceptional points and chirality in non-Hermitian Hamiltonians ⋮ Exceptional points for logic operations at the molecular level ⋮ A unified view on geometric phases and exceptional points in adiabatic quantum mechanics

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