Irreversible quantum graphs
2004 (English)In: Waves in random media (Print), ISSN 0959-7174, E-ISSN 1361-6676, Vol. 14, no 1, S143-S153 p.Article in journal (Refereed) Published
Irreversibility is introduced to quantum graphs by coupling the graphs to a bath of harmonic oscillators. The interaction which is linear in the harmonic oscillator amplitudes is localized at the vertices. It is shown that for sufficiently strong coupling, the spectrum of the system admits a new continuum mode which exists even if the graph is compact, and a single harmonic oscillator is coupled to it. This mechanism is shown to imply that the quantum dynamics is irreversible. Moreover, it demonstrates the surprising result that irreversibility can be introduced by a 'bath' which consists of a single harmonic oscillator.
Place, publisher, year, edition, pages
2004. Vol. 14, no 1, S143-S153 p.
IdentifiersURN: urn:nbn:se:kth:diva-45911DOI: 10.1088/0959-7174/14/1/016ISI: 000188743700017OAI: oai:DiVA.org:kth-45911DiVA: diva2:453124
QC 201111012011-11-012011-11-012011-11-01Bibliographically approved