Quantum Resonances and Ratchets in Free-Falling Frames
| dc.creator | Dana, Itzhack | |
| dc.creator | Roitberg, Vladislav | |
| dc.date | 2007-06-27 | |
| dc.date.accessioned | 2026-07-07T08:18:21Z | |
| dc.date.available | 2026-07-07T08:18:21Z | |
| dc.description | Quantum resonance (QR) is defined in the free-falling frame of the quantum kicked particle subjected to gravity. The general QR conditions are derived. They imply the rationality of the gravity parameter $η$, the kicking-period parameter $τ/(2π)$, and the quasimomentum $β$. Exact results are obtained concerning wave-packet evolution for arbitrary periodic kicking potentials in the case of integer $τ/(2π)$ (the main QRs). It is shown that a quantum ratchet generally arises in this case for resonant $β$. The noninertial nature of the free-falling frame affects the ratchet by effectively changing the kicking potential to one depending on $(β,η)$. For a simple class of initial wave packets, it is explicitly shown that the ratchet characteristics are determined to a large extent by symmetry properties and by number-theoretical features of $η$. | |
| dc.description | To appear in Physical Review E (Rapid Communications) | |
| dc.identifier | https://arxiv.org/abs/0706.3993 | |
| dc.identifier | http://arxiv.org/abs/0706.3993 | |
| dc.identifier | Physical Review E 76, 015201(R) (2007). | |
| dc.identifier | doi:10.1103/PhysRevE.76.015201 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/134403 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Quantum Resonances and Ratchets in Free-Falling Frames | |
| dc.type | text |