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Open Quantum Systems Decoherence

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

arXiv

Authors: Naomichi Hatano, Gonzalo Ordonez

Year

2010

Paper ID

10960

Status

Preprint

Abstract Read

~2 min

Abstract Words

112

Citations

N/A

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.

Why This Paper Matters

This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
It adds a 2010 reference point for readers tracking recent quantum research.
Our series of recent work on the transmission coefficient of open quantum systems in one dimension will be reviewed.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1010.1342 [2] arXiv https://arxiv.org/abs/1010.1342 [3] Publisher https://arxiv.org/abs/1010.1342

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