27 citations · 76 across the 7 of their papers we have counts for
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math-ph2007★ 14 cited
On the energy growth of some periodically driven quantum systems with shrinking gaps in the spectrum
Pierre Duclos, Ondra Lev, Pavel Stovicek
We consider quantum Hamiltonians of the form H(t)=H+V(t) where the spectrum of H is semibounded and discrete, and the eigenvalues behave as E_n~n^α, with 0<α<1. In particular, the…
math-ph2007★ 8 cited
On the stability of periodically time-dependent quantum systems
Pierre Duclos, Eric Soccorsi, Pavel Stovicek +1
The main motivation of this article is to derive sufficient conditions for dynamical stability of periodically driven quantum systems described by a Hamiltonian H(t), i.e., conditi…