2013/12/31 by Eiki Iyoda, Takeo Kato, Kazuki Koshino +1
Computer Science · Physics and Astronomy · #Condensed matter physics #Density matrix #Dephasing #Electron #Interferometry #Mechanical and Optical Resonators #Physics #Quantum #Quantum Hall effect #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum decoherence #Quantum dot #Quantum mechanics #Quantum point contact #Quantum well #Wave packet #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.89.205318
published as Phys. Rev. B 89, 205318 (2014) · 8 pages, 4 figures
arxiv created 2014/05/08 · openalex publication_date 2014/05/28 · arxiv updated 2014/06/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We consider the effect of dephasing on a quantum dot which injects single electrons on a chiral edge channel of the quantum Hall effect. Dephasing is described by the coupling of the dot to a bosonic bath which represents the electromagnetic environment. Using the input-output formalism of quantum optics, we derive the density matrix of the edge degrees of freedom. Results are illustrated by computing the zero frequency current-current correlations when two such single-electron emitters achieve a collision at the location of a quantum point contact, in the same spirit as the Hong-Ou-Mandel experiment of quantum optics. Such correlations are directly linked to the quantum mechanical purity. We show that, as observed in a recent experiment, the effect of dephasing leads to a lifting of the Hong-Ou-Mandel dip when the time delay between the two electron wave packets is zero. Generalizations to time filtered wave packets as well as to asymmetric, detuned injection between opposite edges are obtained.