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RESEARCH PRODUCT
Quantum Nekhoroshev Theorem for Quasi-Periodic Floquet Hamiltonians
F. MontiHans-rudolf Jauslinsubject
Floquet theoryDiophantine equationMathematical analysisStatistical and Nonlinear PhysicsEffective timeEnergy operatorsymbols.namesakesymbolsDifferentiable functionQuasi periodicHamiltonian (quantum mechanics)QuantumMathematical PhysicsMathematicsMathematical physicsdescription
A quantum version of Nekhoroshev estimates for Floquet Hamiltonians associated to quasi-periodic time dependent perturbations is developped. If the unperturbed energy operator has a discrete spectrum and under finite Diophantine conditions, an effective Floquet Hamiltonian with pure point spectrum is constructed. For analytic perturbations, the effective time evolution remains close to the original Floquet evolution up to exponentially long times. We also treat the case of differentiable perturbations.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1998-04-01 | Reviews in Mathematical Physics |