Classical and quantum transport in deterministic Hamiltonian ratchets

Autor:	Thomas Dittrich, Holger Schanz, Marc-Felix Otto, Roland Ketzmerick
Rok vydání:	2000
Předmět:	Classical capacity Physics Classical mechanics Phase space Quantum system Method of quantum characteristics General Physics and Astronomy Quantum algorithm Quantum ergodicity Sum rule in quantum mechanics Quantum chaos
Zdroj:	Annalen der Physik. 512:755-763
ISSN:	1521-3889 0003-3804
DOI:	10.1002/andp.200051209-1011
Popis:	We study directed transport in classical and quantum area-preserving maps, periodic in space and momentum. On the classical level, we show that a sum rule excludes directed transport of the entire phase space, leaving only the possibility of transport in (dynamically defined) subsets, such as regular islands or chaotic areas. As a working example, we construct a mapping with a mixed phase space where both the regular and the chaotic components support directed currents, but with opposite sign. The corresponding quantum system shows transport of similar strength, associated to the same subsets of phase space as in the classical map.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb4267775faacf57424e5c2b4be71e9f https://doi.org/10.1002/andp.200051209-1011 Zobrazit plný text záznamu Plný text