26 citations · 44 across the 4 of their papers we have counts for
4 papers
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…
On a semiclassical formula for non-diagonal matrix elements
O. Lev, P. Stovicek
Let be a Schrödinger operator on the real line, be a bounded observable depending only on the coordinate and be a fixed integer. Suppose…
Progressive diagonalization and applications
P. Duclos, O. Lev, P. Stovicek +1
We give a partial review of what is known so far on stability of periodically driven quantum systems versus regularity of the bounded driven force. In particular we emphasize the f…
Weakly regular Floquet Hamiltonians with pure point spectrum
P. Duclos, O. Lev, P. Stovicek +1
We study the Floquet Hamiltonian: -i omega d/dt + H + V(t) as depending on the parameter omega. We assume that the spectrum of H is discrete, {h_m (m = 1..infinity)}, with h_m of m…