X-ray edge singularity in optical spectra of quantum dots

2010/07/31 by Markus Heyl, Stefan Kehrein · 31 citations
Mathematics · Physics and Astronomy · #Absorption edge #Band gap #Computer science #Condensed matter physics #Enhanced Data Rates for GSM Evolution #Exponent #Mathematical analysis #Mathematics #Physics #Quantum #Quantum and electron transport phenomena #Quantum dot #Quantum mechanics #Semiconductor Quantum Structures and Devices #Singularity #Spectral line #Spectrum (functional analysis) #Surface and Thin Film Phenomena #Telecommunications #Work (physics) #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.85.155413

published in Physical Review B 85(15) (American Physical Society) · 7 pages, 2 figures; version as published

openalex publication_date 2012/04/05 · arxiv created 2012/07/09 · arxiv updated 2012/07/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In this work we investigate the x-ray edge singularity problem realized in noninteracting quantum dots. We analytically calculate the exponent of the singularity in the absorption spectrum near the threshold and extend known analytical results to the whole parameter regime of local level detunings. Additionally, we highlight the connections to work distributions and to the Loschmidt echo.

Citations

• Scattering approach to counting statistics in quantum pumps
• Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter

Cited by

• Crooks Relation in Optical Spectra: Universality in Work Distributions for Weak Local Quenches
• Electron-electron correlations in a dynamical impurity system with a Fermi edge singularity