Work

Resonant States of Open Quantum Systems

Year: 2010

Type: article

Abstract: 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.

Source: Progress of Theoretical Physics Supplement

DOI: 10.1143/ptps.184.497

Author: Naomichi Hatano

Institutions: Institute of Industrial Science, The University of Tokyo, The University of Tokyo

Language: English

Topic: Quantum chaos and dynamical systems

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

Funder: Japan Society for the Promotion of Science

Award: Theory and experiment of the spin Nernst effect in electron gas systems with a spin-orbit interaction