Avoided level crossings in open quantum systems

DOI10.1002/PROP.201200062zbMath1338.81254arXiv1206.2162OpenAlexW1989416123MaRDI QIDQ2812926

Ingrid Rotter, Hichem Eleuch

Publication date: 13 June 2016

Published in: Fortschritte der Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.2162

zbMATH Keywords

level crossingopen quantum systemexceptional pointcomplex coupling between system and environmentoverlapping resonanceswidth bifurcation

Mathematics Subject Classification ID

Perturbation theories for operators and differential equations in quantum theory (81Q15) (2)-body potential quantum scattering theory (81U05) Open systems, reduced dynamics, master equations, decoherence (81S22) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (5)

Loss, gain, and singular points in open quantum systems ⋮ Numerical study of the transverse localization of waves in one-dimensional lattices with randomly distributed gain and loss: effect of disorder correlations ⋮ Open quantum systems with loss and gain ⋮ Schrödinger equations with logarithmic self-interactions: from antilinear \(\mathcal{PT}\)-symmetry to the nonlinear coupling of channels ⋮ The entanglement properties of superposition of fermionic coherent states

Cites Work

• Signatures of three coalescing eigenfunctions
• A non-Hermitian Hamilton operator and the physics of open quantum systems
• Non-adiabatic crossing of energy levels

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