Classical and quantum Hamiltonian ratchets - art. no. 070601

Citation
H. Schanz et al., Classical and quantum Hamiltonian ratchets - art. no. 070601, PHYS REV L, 8707(7), 2001, pp. 0601
Citations number
18
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW LETTERS
ISSN journal
00319007 → ACNP
Volume
8707
Issue
7
Year of publication
2001
Database
ISI
SICI code
0031-9007(20010813)8707:7<0601:CAQHR->2.0.ZU;2-3
Abstract
We explain the mechanism leading to directed chaotic transport in Hamiltoni an systems with spatial and temporal periodicity. We show that a mixed phas e space comprising both regular and chaotic motion is required and we deriv e a classical sum rule which allows one to predict the chaotic transport ve locity from properties of regular phase-space components. Transport in quan tum Hamiltonian ratchets arises by the same mechanism as long as uncertaint y allows one to resolve the classical phase-space structure. We derive a qu antum sum rule analogous to the classical one, based on the relation betwee n quantum transport and band structure.