Resonant-state expansion of the Green's function of open quantum systems

Abstract

Our series of recent work on the transmission coefficient of open quantum systems in one dimension will be reviewed. The transmission coefficient is equivalent to the conductance of a quantum dot connected to leads of quantum wires. We will show that the transmission coefficient is given by a sum over all discrete eigenstates without a background integral. An apparent "background" is in fact not a background but generated by tails of various resonance peaks. By using the expression, we will show that the Fano asymmetry of a resonance peak is caused by the interference between various discrete eigenstates. In particular, an unstable resonance can strongly skew the peak of a nearby resonance.

7 pages, 7 figures. Submitted to International Journal of Theoretical Physics as an article in the Proceedings for PHHQP 2010 (http://www.math.zju.edu.cn/wjd/)

References in corpus (2)

• The absolute position of a resonance peak
• Probabilistic Interpretation of Resonant States

Cited by in corpus (4)

• Bound states, scattering states and resonant states in PT-symmetric open quantum systems
• Accurate Complex Scaling of Three Dimensional Numerical Potentials
• What is the resonant state in open quantum systems?
• Insights into electron transport in a ferroelectric tunnel junction