A nonlinear adiabatic theorem for coherent states

DOI10.1088/0951-7715/24/8/002zbMath1231.81040arXiv1010.5977OpenAlexW2020230001MaRDI QIDQ3173379

Rémi Carles, Clotilde Fermanian-Kammerer

Publication date: 10 October 2011

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.5977

zbMATH Keywords

nonlinear Schrödinger equationcoherent statewave packet

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (11)

A generic framework of adiabatic approximation for nonlinear evolutions ⋮ Weakly nonlinear time-adiabatic theory ⋮ Adiabatic approximation for a two-level atom in a light beam ⋮ Propagation of coherent states through conical intersections ⋮ A nonlinear quantum adiabatic approximation ⋮ A Nonlinear Adiabatic Theorem for Coherent States ⋮ Coherent States for Systems ofL²-Supercritical Nonlinear Schrödinger Equations ⋮ PROPAGATION OF SEMICLASSICAL WAVE PACKETS THROUGH AVOIDED EIGENVALUE CROSSINGS IN NONLINEAR SCHRÖDINGER EQUATIONS ⋮ Propagation of wave packets for systems presenting codimension one crossings ⋮ Adiabatic and non-adiabatic evolution of wave packets and applications to initial value representations ⋮ Adiabatic Lindbladian evolution with small dissipators

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