A nonlinear quantum adiabatic approximation

DOI10.1088/1361-6544/ab8d15zbMath1455.81021arXiv1906.11069OpenAlexW3047382409MaRDI QIDQ5130909

Clotilde Fermanian-Kammerer, Alain Joye

Publication date: 29 October 2020

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.11069

zbMATH Keywords

adiabatic approximationnonlinear adiabatic theoremnonlinear quantum evolution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics (70H11) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (5)

A generic framework of adiabatic approximation for nonlinear evolutions ⋮ Parallel transport dynamics for mixed quantum states with applications to time-dependent density functional theory ⋮ Quantum Dynamics with the Parallel Transport Gauge ⋮ Adiabatic transitions in a two-level system coupled to a free Boson reservoir ⋮ Adiabatic Lindbladian evolution with small dissipators

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