Multistate Landau-Zener models with all levels crossing at one point

Abstract

We discuss common properties and reasons for integrability in the class of multistate Landau-Zener (MLZ) models with all diabatic levels crossing at one point. Exploring the Stokes phenomenon, we show that each previously solved model has a dual one, whose scattering matrix can be also obtained analytically. For applications, we demonstrate how our results can be used to study conversion of molecular into atomic Bose condensates during passage through the Feshbach resonance, and provide purely algebraic solutions of the bowtie and special cases of the driven Tavis-Cummings model (DTCM).

16 pages, 8 figures

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Cited by in corpus (12)

• Adiabaticity in nonreciprocal Landau-Zener tunneling
• Emergent topology under slow non-adiabatic quantum dynamics
• Generalized Adiabatic Impulse Approximation
• Detuning-induced robustness of a three-state Lanzau-Zener model against dissipation
• Loss of adiabaticity with increasing tunneling gap in non-integrable multistate Landau-Zener models
• Three-state Landau-Zener model in the presence of dissipation
• Nonadiabatic Phase Transition with Broken Chiral Symmetry
• Generic theory of characterizing topological phases under quantum slow dynamics
• Solution to a class of multistate Landau-Zener model beyond integrability conditions
• Nonadiabatic dissociation of molecular Bose-Einstein condensates: competition between chemical reactions
• Electric circuit analog of Landau-Zener tunneling using time-varying elements
• Graph-theoretical search for integrable multistate Landau-Zener models