Diffractive energy spreading and its semiclassical limit

Abstract

We consider driven systems where the driving induces jumps in energy space: (1) particles pulsed by a step potential; (2) particles in a box with a moving wall; (3) particles in a ring driven by an electro-motive-force. In all these cases the route towards quantum-classical correspondence is highly non-trivial. Some insight is gained by observing that the dynamics in energy space, where $n$ is the level index, is essentially the same as that of Bloch electrons in a tight binding model, where $n$ is the site index. The mean level spacing is like a constant electric field and the driving induces long range hopping 1/(n-m).

19 pages, 11 figs, published version with some improved figures

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Cited by in corpus (4)

• Semiclassical analysis of Bose-Hubbard dynamics
• Restricted quantum-classical correspondence and counting statistics for a coherent transition
• Quantum Hamiltonian daemons: unitary analogs of combustion engines
• Breakdown of quantum-to-classical correspondence for diffusion in high temperature thermal environment