Resonant states of open quantum systems

Details Resonant states of open quantum systems Resonant states of open quantum systems

2009-11-23

arxiv.org/abs/0911.4320v1

Prog.Theor.Phys.Suppl.184:497-515,2010

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

19 pages, to be published in Progress of Theoretical Physics, Supplement

Scientific paper

10.1143/PTPS.184.497

We first show that quantum resonant states observe particle number conservation and hence are consistent with the probabilistic interpretation of quantum mechanics. We then present for a class of quantum open systems, a resonant-state expansion of the sum of the retarded and advanced Green's functions. The expansion is given purely in terms of all discrete eigenstates and does not contain any background integrals. Using the expansion, we argue that the Fano asymmetry of resonance peaks is interpreted as interference between discrete eigenstates. We microscopically derive the Fano parameters for several cases.

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