Wave transport and statistical properties of an open non-Hermitian quantum dot with parity-time symmetry
2014 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, E-ISSN 1550-2376, Vol. 89, no 062910Article in journal (Refereed) Published
A basic quantum-mechanical model for wave functions and current flow in open quantum dots or billiards is investigated. The model involves non-Hertmitian quantum mechanics, parity-time (PT) symmetry, and PT-symmetry breaking. Attached leads are represented by positive and negative imaginary potentials. Thus probability densities, currents flows, etc., for open quantum dots or billiards may be simulated in this way by solving the Schrödinger equation with a complex potential. Here we consider a nominally open ballistic quantum dot emulated by a planar microwave billiard. Results for probability distributions for densities, currents (Poynting vector), and stress tensor components are presented and compared with predictions based on Gaussian random wave theory. The results are also discussed in view of the corresponding measurements for the analogous microwave cavity. The model is of conceptual as well as of practical and educational interest.
Place, publisher, year, edition, pages
American Physical Society , 2014. Vol. 89, no 062910
IdentifiersURN: urn:nbn:se:liu:diva-107613DOI: 10.1103/PhysRevE.89.062910ISI: 000338019800014OAI: oai:DiVA.org:liu-107613DiVA: diva2:725849